Unit 6 Visualising Solid Shapes Hindincert.nic.in/ncerts/l/hhep206.pdf · mnkgj.k 15%,d Hkou dh...

eq[; vo/kj.kk,¡ vkSj ifj.kke

• 3D vkdkj @ oLrq,¡ os vkdkj @ oLrq,¡ gSa tks] ,d ry esa iw.kZr;k fLFkr ugha gksrh gSaA

• 3D oLrqvksa osQ fofHkUu LFkkuksa ls fofHkUu n`'; fn[kk;h nsrs gSaA

• og Bksl ,d cgqiQyd ;k cgqiQydh (;k cgq"iQyd) dgykrk gS] ;fn og osQoycgqHkqth; iQydksa ls feydj gh cuk gksA ;s iQyd fdukjksa esa feyrs gSa] tks js[kk[kaM gksrs gSarFkk fdukjs fcanqvksa ij feyrs gSa] tks 'kh"kZ dgykrs gSaA

• fdlh Hkh cgqiQyd osQ fy,] vkW;yj lw=k gS%

F + V – E = 2

tgk¡ F iQydksa dh la[;k] V 'kh"kks± dh la[;k vkSj E fdukjksa dh la[;k dks fu:fir djrk gSA

• cgqiQydksa osQ çdkj

(a) mÙky cgqiQyd

,d mÙky cgqiQyd esa] lHkh iQyd mÙky gksrs gSaA mnkgj.kkFkZ] fuEu vkÑfr;ksa esa]

(1) (2) (3) (4)

bdkbZ 6

Bksl vkdkjksa dk fp=k.k

12/04/18

bdkbZ &6

iz'u izn£'kdk xf.kr & d{kk 8

(1) vkSj (2) mÙky cgqiQyd gSa] tcfd

(3) vkSj (4) mÙky cgqiQyd ugha gSaA

(b) le cgqiQyd ;k IysVksfud Bksl

,d cgqiQyd le cgqiQyd dgykrk gS] ;fn blosQ lHkh iQyd lok±xle le cgqHkqt gksa rFkkçR;sd 'kh"kZ ij feyus okys iQydksa dh la[;k cjkcj gksA

mnkgj.kkFkZ] ?ku ,d IysVksfud Bksl gS] D;ksafd blosQ lHkh N% iQyd lok±xle oxZ gksrs gSaA,sls ik¡p Bksl gksrs gSa& le prq"iQyd] ?ku] le v"ViQyd (vkWDVkgsMªu)] le }kn'kiQyd(VksMsdk&gsMªu) vkSj le vkbdkslkgsMªu (20 iQyd okyk)A mnkgj.k osQ fy,]

iz;kl dhft,

fdlh vkÑfr dk lkeus dk fgLlk] Åij rFkk ik'oZ n'kkZ;s x;s gSaA lsaVhehVj ?kuksa dk mi;ksx dj vkÑfr cuk;saA rcvkÑfr dk js[kkfp=k [khapsA

1. 2.

3. fdlh f=kfoeh; vkÑfr osQ n`'; uhps fn[kk;s x;s gSa ftUgsa ?kuksa ls ugha cuk;k tk ldrk gSA fuf'prdhft, fd dkSu vkÑfr n`';ksa ls lqesfyr gksrh gSA

A B C D

lkeus dk fgLlk Åij ik'oZ

lkeus dk fgLlk Åij ik'oZ lkeus dk fgLlk Åij ik'oZ

• ,d fç”e og cgqiQydh gS] ftlosQ fupys vkSj Åijh iQyd (tks vk/kj dgykrs gSa)lok±xle cgqHkqt gksa rFkk vU; iQyd] ftUgsa ik'oZ iQyd dgk tkrk gS] lekarj prqHkqZt gksaA(tc ik'oZ iQyd vk;r gksa] rks ;g vkdkj ;k Bksl ,d yac fç”e dgykrk gSA)

• ,d fijkfeM og cgqiQydh gS] ftldk vk/kj dksbZ cgqHkqt gksrk gS rFkk ik'oZ iQyd f=kHkqtgksrs gSaA

• ,d ekufp=k fdlh fof'k"V oLrq @ LFkku dh vU; oLrqvksa @ LFkkuksa osQ lanHkZ esa vofLFkfrçnf'kZr djrk gSA

?ku

12/04/18

xf.kr


gy mnkgj.k

mnkgj.k 1 vkSj 2 esa] pkj fodYi fn;s gSa] ftuesa ls ,d lgh gSA lgh mÙkj fyf[k,A

mnkgj.k 1% fçTe ,d cgqiQydh gS ftlosQ ik'oZiQyd gksrs gSa&

(a) o`Ùk (b) f=kHkqt

(c) lekarj prqHkqZt (d) leprqHkqZt

gy lgh mÙkj (c) gSA

mnkgj.k 2% fijkfeM ,d cgqiQydh gS] ftlosQ ik'oZiQyd gksrs gSa&

(a) vk;r (b) f=kHkqt

(c) lekarj prqHkqZt (d) leprqHkqZt

gy lgh mÙkj (b) gSA

mnkgj.k 3 vkSj 4 esa] fjDr LFkkuksa dks Hkfj,] rkfd dFku lR; gks tk,¡&

mnkgj.k 3% ,d lecgqiQydh esa] çR;sd 'kh"kZ ij feyus okys iQydksa dh la[;k ______

gksrh gSA

gy ,d gh ;k cjkcj

mnkgj.k 4% ,d iapHkqtkdkj fçTe esa ______ fdukjs gksrs gSaA

gy 15

mnkgj.k 5 vkSj 6 esa] crkb, fd dFku lR; gSa ;k vlR;

mnkgj.k 5% ,d xksyk cgqiQydh gSA

gy vlR;

• LosQy ml ekufp=k dh MWªkbax @ ekWMy dh foekvksa vkSj okLrfod oLrq dh foekvksa osQ chplaca/ gksrk gSA

• ,d ekufp=k esa] fofHkUu oLrqvksa vkSj LFkkuksa dks n'kkZus osQ fy, laosQrksa dk ç;ksx fd;k tkrk gSA

• ekufp=kksa esa ,d LosQy lac¼ gksrk gS] tks ,d fof'k"V ekufp=k osQ fy, fuf'pr gksrk gSA

lksfp, vkSj ppkZ dhft,

le>kbZ, fd vki Åij ls [kqys ,d cDls] tks yac fiz”e osQ vkdkj dk gks] dk i`"B dSls Kkr djsaxsA

fdlh csyu dh usV dk fuekZ.k dhft,A

iapHkqtkdkj fçTe

12/04/18

bdkbZ &6


mnkgj.k 6% ,d fçTe esa] ik'ohZ; (;k ik'oZ) iQydksa dk lok±xle gksuk vko';dugha gSA

gy lR;

mnkgj.k 7% uhps fn;s Bksl osQ Åij ls] lkeus ls rFkk ik'oZ n`'; [khafp,&

gy

fØ;kdyki

iVjh vkSj ijdkj dk mi;ksx ,d dkMZ cksMZ ij izR;sd usV dk cM+k :ikarj.k [khapus osQ fy, dhft,AizR;sd usV dks cgqiQyd osQ :i esa rg dhft,A

le cgqiQyd

uke iQyd mnkgj.k usV

prq"iQyd 4 f=kHkqt

v"ViQyd 8 f=kHkqt

vkbdkslkgsMªku 20 f=kHkqt

?ku 6 oxZ

}kn'kiQyd 12 iapHkqt

12/04/18

xf.kr


iz;kl dhft,

1. izR;sd cgqiQyd] tks vkius cuk;sgSa osQ fy, 'kh"kks± dh la[;k V]fdukjksa dh E rFkk iQydksa dhF ls lkj.kh dks iwjk dhft,A

2. vuqeku yxkb, % cgqiQyd osQ'kh"kks± dh] fdukjksa dh rFkk iQydksadh la[;kvksa osQ laca/ osQ ckjs esavki D;k lksprs gSa fd lR; gS\

cgqiQyd V E F V - E + F

prq"iQyd

v"ViQyd

vkbdkslkgsMªku

?ku

}kn'kiQyd

mnkgj.k 8% ml vkdkj dh igpku dhft,] ftldk tky (;k usV) uhps fn;k gS&

gy ;g vkdkj iw.kZ :i ls leckgq f=kHkqtksa ls cuk gSA tc bls mi;qDr :i lseksM+k tkrk gS] rks ,d fu;fer ;k le v"ViQyd curk gSA è;ku nhft, fdD;ksafd ;s iQyd leckgq f=kHkqt (le cgqHkqt) vkSj lok±xle gSa] blfy,mijksDr Bksl ,d le cgqiQydh gSA

cgqiQydksa dk fuekZ.k djus esa usVksa dk mi;ksx

,d cgqiQydh pkj ;k vf/d cgqHkqtksa] tks osQoy fdukjksa ij izfrPNsn djrs gSa] ls curk gS vkSjizR;sd 'kh"kZ ij leku la[;k osQ iQyd izfrPNsn djrs gSaA le cgqiQydksa dks IysVksfud Bksl Hkhdgrs gSaA ,sls osQoy ik¡p le cgqiQyd gSaA

12/04/18

bdkbZ &6


è;ku nhft, fd ,d 3D vkdkj esa] mu nks 'kh"kks± dks feykrs gSa] tks ,dgh iQyd esa fLFkr ugha gksrs gSaA mnkgj.kkFkZ] uhps nh vkÑfr esa js[kk[kaMAH bl Bksl dk fod.kZ ugha gSA fod.kks± dks vo'; gh] Bksl osQ vH;arj;k vkarfjd Hkkx ls gksdj tkuk pkfg,A ijarq AH iQyd ADHE dkfod.kZ gSA

mnkgj.k 10% nh x;h vkÑfr;ksa esa ?kuksa dh la[;k fyf[k,A

gy (i) 8 ?ku (ii) 6 ?ku

mnkgj.k 11% fuEu cgqiQyfd;ksa osQ uke fyf[k, rFkk çR;sd osQ fy, vkW;yj osQ lw=k dklR;kiu dhft,&

(a) (b) (c)

mnkgj.k 9% uhps fn;k Bksl ,d vk;rkdkj fçTe ;k ?kukHk gSA bl vkdkj osQ lHkh fod.kZcukb,A

gy blosQ osQoy pkj fod.kZ gSa] ftUgsa uhps n'kkZ;k x;k gS&

12/04/18

xf.kr


fdlh f=kfoeh; oLrq osQ Hkhrj osQ LFkku vk;ru dks ?ku bdkbZ esa ekik tkrk gSA ;fn vkius ,slsCykWd (?ku) cuk;s gksa tks ,d ?ku bdkbZ osQ gksa rks buls cuh lajpuk dk vk;ru mlesa Cykd dhla[;k osQ cjkcj gSA mnkgj.k osQ fy,] 8 Cykd ls cuh lajpuk dk vk;ru 8 ?ku bdkbZ gSA ;fnCykd dh ,d fdukjh 1cm yach gks rks lajpuk dk vk;ru 8cm

3 gSA

gy Øe la- cgqiQydh F V F + V E F + V –E

1 prq"iQyd 4 4 8 6 2

2 ?ku 6 8 14 12 2

3 iapHkqtkdkj 7 10 17 15 2

fçTe

mnkgj.k 12% fdlh cgqiQydh esa 7 iQyd vkSj 10 'kh"kZ gSaA bl cgqiQydh esa fdrusfdukjs (;k dksj) gSa\

gy fdlh cgqiQydh osQ fy,]

F + V – E = 2

;gk¡ F = 7, V = 10, E = ? gSA

mijksDr lw=k osQ ç;ksx ls]

7 + 10 – E = 2

17 – E = 2

17 – 2 = E

Ε = 15

mnkgj.k 13% ml cgqiQydh esa 'kh"kks± dh la[;k Kkr dhft,] ftlesa 30 fdukjs vkSj 12iQyd gSaA

gy fdlh Hkh cgqiQydh osQ fy,]

F + V – E = 2

;gk¡ F = 12, V = ?, E = 30 gSA

mijksDr lw=k dk ç;ksx djus ij]

12 + V – 30 = 2

V – 18 = 2

V = 2 + 18

V = 20

12/04/18

bdkbZ &6



vr%] 6cm }kjk fu:fir okLrfod nwjh = 6 × 200km

= 1200km

vr% 'kgj A vkSj 'kgj B osQ chp dh okLrfod nwjh 1200km gSA

mnkgj.k 15% ,d Hkou dh Å¡pkbZ 9m gS rFkk bls ,d ekufp=k esa] 9cm }kjk fu:firfd;k x;k gSA bl ekufp=k osQ fy,] D;k LosQy ç;qDr fd;k x;k gS\

gy ekufp=k dk LosQy =

[khpa h x;h eki

okLrfod eki

9cm

900cm= (D;ksafd 9m = 900cm gS)

1

100=

bl çdkj] LosQy 1% 100 gSA

mnkgj.k 16% fdlh ekufp=k ij LosQy 1mm % 4m gSA okLrfod nwjh 52m osQ fy,]ekufp=k ij nwjh Kkr dhft,A

gy okLrfod nwjh 4m osQ fy, ekufp=k ij nwjh = 1mm

vr%] okLrfod nwjh 52m osQ fy,] ekufp=k ij nwjh1

524

= × mm

= 13 mm

bl çdkj] 52m dh okLrfod nwjh osQ fy,] ekufp=k ij nwjh 13mm gSA

,d vosQys Cykd dk i`"Bh; {ks=kiQy oxZ bdkbZ esa fdruk gS\

;fn Cykd osQ fdukjs dh yackb;k¡ 2 lseh gSa rks Cykd dk i`"Bh; {ks=kiQy D;k gS\

nk;ha vksj nh x;h lajpuk dk vk;ru ?ku bdkbZ esa D;k gS\

mijksDr lajpuk esa oxZ bdkbZ esa i`"Bh; {ks=kiQy D;k gS\

(;kn jf[k;s lajpuk esa osQoy ckgjh oxks± dks fxfu,)

mnkgj.k 14% fdlh ekufp=k esa] 'kgj A vkSj 'kgj B dh nwjh 6cm n'kkZ;h x;h gSA ;fnLosQy 1cm = 200 km fu:fir djrk gS] rks 'kgj A vkSj 'kgj B osQ chpdh okLrfod nwjh Kkr dhft,A

gy 1 cm }kjk fu:fir okLrfod nwjh = 200km

12/04/18

xf.kr


mnkgj.k 17% leL;k gy djus dh ;qfDr ij vuqç;ksx

fuEu vkÑfr esa] fdukjksa] 'kh"kks± vkSj iQydksadh la[;k,¡ fu/kZfjr dhft,&

gy leL;k dks lef>, vkSj mldh tk¡pdhft,

• gesa ç'u esa D;k lwpuk nh x;h gS\

,d ?ku ftldk ,d dksuk dVk gqvk gSA

• vki D;k Kkr djuk pkgrs gSa\

fdukjksa] 'kh"kks± vkSj iQydksa dh la[;kA

• D;k dksbZ ,slh lwpuk gS] ftldh vko';drk ugha gS\

fdukjksa dh ekiksa dh vko';drk ugha gSA

,d ;qfDr dh ;kstuk cukb,

• fdukjs] 'kh"kZ vkSj iQyd dh ifjHkk"kkvksa osQ ckjs esa lksfp, rFkk budkÅij nh gqbZ vkÑfr ls lg&laca/ LFkkfir djus dk ç;kl dhft,A

gy dhft,

• cgqHkqth; {ks=k iQyd dgykrs gSaA vr%] ;gk¡ 7 iQyd gSaA

• nks iQydksa osQ çfrPNsnu ls cuk js[kk[kaM ,d fdukjk dgykrk gSA vr%];gk¡ 15 fdukjs gSaA

• fdukjs 'kh"kks± ij feyrs gSa] tks fcanq gSaA vr%] ;gk¡ 10 'kh"kZ gSaA

iqufuZjh{k.k

• bl mÙkj dks vkW;yj osQ lw=k F + V = E + 2 ls lR;kfir djrs gSaAmijksDr leL;k osQ fy,] F = 7, V = 10, E = 15 gSA

lHkh fizTeksa esa nks loZle lekarj iQyd gksrs gSaA ;s nksuksa iQyd lnSo cgqHkqt gksrs gSaA fizTe esa 'ks"k iQyd lnSolekarj prqHkqZt gksrs gSaA

fizTe dks dHkh&dHkh mlosQ fljksa osQ lekarj iQydksa osQ vkdkj }kjk tkuk tkrk gSA mnkgj.k osQ fy, f=kHkqtkdkjfizTe osQ fljs f=kHkqtkdkj iQyd gksrs gSa vkSj vk;rkdkj fiz”e osQ fljs vk;rkdkj iQyd gksrs gSaA

f=kHkqtkdkj fizTe vk;rkdkj fizTe

12/04/18

bdkbZ &6


ç'ukoyh

ç'u 1 ls 21 esa] pkj fodYi fn, gSa] ftuesa ls osQoy ,d gh lgh gSA lgh mÙkj fyf[k,A

1. fuEu esa ls dkSu ,d cgqiQydh ugha gS\

(a) (b) (c) (d)

2. fuEu esa ls fdlh ls ,d cgqiQydh ugha cusxk\

(a) 3 f=kHkqt (b) 2 f=kHkqt vkSj rhu lekarj prqHkqZt

(c) 8 f=kHkqt (d) 1 iapHkqt vkSj 5 f=kHkqt

3. fuEu esa ls dkSu ,d le cgqiQydh gS\

(a) ?kukHk (b) f=kHkqtkdkj fç”e

(c) ?ku (d) oxkZdkj fç”e

;s vkÑfr;k¡ fiz”e gSaA

;s vkÑfr;k¡ fiz”e ugha gSaA

F + V = 7 + 10 = 17

E + 2 = 15 + 2 = 17

bl çdkj] F + V = E + 2 dk lR;kiu gks x;kA

12/04/18

xf.kr



lHkh fiz”e D;k mHk;fu"V gaS\

tks fiz”e ugha gSa os oSQls fiz”eksa ls fHkUu gSa\

4. fuEu esa ls dkSu ,d f}foeh; vkdkj gS\

(a) vk;r (b) vk;rkdkj fç”e

(c) oxkZdkj fijkfeM (d) oxkZdkj fç”e

5. fuEu esa ls dkSu ,d fijkfeM dk vk/kj gks ldrk gS\

(a) js[kk[kaM (b) o`Ùk (c) v"BHkqt (d) vaMkdkj vkÑfr

6. fdl f=kfoeh; vkdkj esa 'kh"kZ ugha gksrk gS\

(a) fijkfeM (b) fç”e (c) 'kaoqQ (d) xksyk

7. Bksl] ftlosQ fdukjs osQoy js[kk[kaM gh gksa&

(a) cgqiQydh (b) 'kaoqQ (c) csyu (d) cgqHkqt

8. ,d cgqiQydh esa] ;fn F = V = 5 gS] rks bl vkdkj esa fdukjksa dh la[;k gksxh&

(a) 6 (b) 4 (c) 8 (d) 2

9. fuEu esa ls dkSu fn;s gq, vkdkj dk Åij ls n`'; gS\

(a) (b) (c) (d)

12/04/18

bdkbZ &6


11. fuEu esa ls fdl tky ls 'kaoqQtfur gksxk\

(a) (b) (c) (d)

12. fuEu esa ls dkSu ,d fç”e ugha gS\

(a) (b) (c) (d)

,d usV ,d ,slh likV vkÑfr gS ftls rg djus ij ,d can f=kfoeh; oLrq izkIr dh tk ldrh gSA ,slhoLrq Bksl dgykrh gSA

10. uhps fn;s tky dks eksM+dj ,d ?ku dk vkdkj çkIr fd;k tk ldrk gSA v{kj L ls vafdriQyd fdl v{kj ls vafdr iQyd osQ lEeq[k gS\

(a) M (b) N (c) Q (d) O

12/04/18

xf.kr


Hkkxhnkjh vkSj laf{kIrhdj.k

1. le>kb, fd fdlh Bksl dk i`"Bh; {ks=kiQy mlosQ usV ls oSQls izkIrdjrs gSa A

2. ;gk¡ ,d vk;rkdkj Bksl dh usV gSA vki dksbZ eki yhft, tks vkilksprs gSa fd Bksl osQ vk;ru vkSj i`"Bh; {ks=kiQy dks Kkr djus osQfy, vko';d gSA le>kb, fd vkius D;k ekisa yha rFkk vkius mulsD;k fd;k A

fdlh f=kfoeh; oLrq dk i`"Bh; {ks=kiQy oLrq osQ i`"B }kjk ?ksjk x;k LFkku gSA ;fn vki oLrq dks ysa vkSjmls bl izdkj iSQyk nsa fd vki mldh lHkh fdukjh ,d lkFk ns[k losaQ] rks likV vkÑfr dk {ks=kiQy ghi`"Bh; {ks=kiQy gksxkA (uhps dk i`"B ysuk er Hkwfy,) i`"Bh; {ks=kiQy Hkh oxZ bdkbZ esa ekik tkrk gSA

13. gekjs ikl 4 lok±xle leckgq f=kHkqt gSaA ,d fijkfeM cukus osQ fy,] gesa vkSj fdldhvko';drk gS\

(a) ,d leckgq f=kHkqtA

(b) ,d oxZ ftldh Hkqtk dh yackbZ f=kHkqt dh Hkqtk osQ cjkcj gksA

(c) 2 leckgq f=kHkqt ftudh Hkqtk,¡ f=kHkqt dh Hkqtkvksa osQ cjkcj gksaA

(d) 2 oxZ ftudh Hkqtkvksa dh yackb;k¡ f=kHkqt dh Hkqtkvkssa osQ cjkcj gkasA

14. ,d oxkZdkj cxhps dh Hkqtk 30m gSA bldk fp=k [khapus osQ fy, LosQy 1cm % 5m dkç;ksx fd;k x;k gSA rc] fp=k esa bl cxhps dk ifjeki gksxk&

(a) 20cm (b) 24cm (c) 28cm (d) 30cm

15. fuEu esa ls fdl vkdkj dk ,d 'kh"kZ gS\

12/04/18

bdkbZ &6


17. fuEu esa ls dkSu ,d cgqiQydh osQ fy, lR; ugha gks ldrk\

(a) V = 4, F = 4, E = 6 (b) V = 6, F = 8, E = 12

(c) V = 20, F = 12, E = 30 (d) V = 4, F = 6, E = 6

18. ,d dejs osQ ekufp=k esa] fdlh vkfoZQVsDV us dejs dh Å¡pkbZ dks 33cm n'kkZ;k gSA ;fndejs dh okLrfod Å¡pkbZ 330cm gS] rks mlosQ }kjk ç;qDr LosQy gS&

(a) 1:11 (b) 1:10 (c) 1:100 (d) 1:3

uhps ,d uxj dk ekufp=k fn;k x;k gS& iz'u 19-21 osQ mÙkj nhft,A

'kCnkoyh laca/

bl bdkbZ esa oqQN 'kCnkoyh inksa ls ifjfpr gksus osQ fy, fuEu ij fopkj dhft,%1. 'kCn edge (fdukjk) ySfVu 'kCn ACER] ftldk vFkZ ^iSuk* gS] ls cuk gSA fdlh f=kfoeh;

vkÑfr osQ fdukjs dks ifjHkkf"kr djus osQ fy, ySfVu ewy vkidh oSQls lgk;rk djrk gS\2. 'kCn vertex ('kh"kZ) dk vFkZ ^pksVh* vFkok ^lcls Å¡pk fcanq* gks ldrk gSA 'kaoqQ ;k fijkfeM dk

dkSu&lk Hkkx 'kh"kZ gS\4. 'kCn prism (fiz”e) ;wukuh 'kCn PRIEIN] ftldk vFkZ ^phjuk* gS] ls vk;k gSA vki fiz”e dks

phjus vFkok dkVus ls oSQls crk ldrs gSa\

16. uhps fn;s ekufp=k esa] LFkkuksa osQ chp dh nwjhLosQy 1cm % 0-5km dk ç;ksx djrs gq,n'kkZ;h x;h gS rc] LowQy vkSj iqLrd dh nqdkudh nwjh (km esa) gS&

(a) 1.25 (b) 2.5

(c) 2 (d) 1.1

iqfyl LVs'ku

iksLVvkWfiQl

fdrkcksa dh

nqdku

tujy LVksj

fo|ky;

4cm

2cm

2.2cm

5cm

2cm

12/04/18

xf.kr


19. uxj esa vLirkyksa dh la[;k gS&

(a) 1 (b) 2 (c) 3 (d) 4

blesa nks vk;rkdkj vk/kj gSaAblesa pkj vU; vk;rkdkj iQyd gSaAvkÑfr ,d vk;rkdkj fiz”e gSA

blesa ,d vk;rkdkj vk/kj gSAblesa pkj f=kHkqtkdkj iQyd gSaAvkÑfr ,d vk;rkdkj fijkfeM gSA

blesa nks f=kHkqtkdkj vk/kj gSaAblesa rhu vk;rkdkj iQyd gSaAvkÑfr ,d f=kHkqtkdkj fiz”e gSA

blesa ,d "kV~Hkqtkdkj vk/kj gSAbles N% f=kHkqtkdkj iQyd gSaAvkÑfr ,d "kV~Hkqtkdkj fijkfeM gSA

20. tujy LVksjksa vkSj eSnkuksa dh la[;kvksa dk vuqikr gS&

(a) 1 : 2 (b) 2 : 1 (c) 2 : 3 (d) 3 : 2

21. ekufp=k osQ vuqlkj] uxj esa LowQyksa dh la[;k gS&

(a) 4 (b) 3 (c) 5 (d) 2

ç'u 22 ls 41 esa] fjDr LFkkuksa dks Hkfj,] rkfd dFku lR; gks tk,¡&

22. ,d f=kHkqtkdkj fijkfeM dks _______

Hkh dgk tkrk gSA

23. vk;rkdkj fç”e _______

Hkh dgykrk gSA

24. vkÑfr esa] B ij feyus okys iQydksa dh la[;k _______

gSA

25. n Hkqtkvksa okys cgqHkqt ij cus fijkfeM esa _______

iQyd gksrs gSaA

26. ;fn fdlh cgqiQydh osQ 12 iQyd vkSj 20 'kh"kZ gSa] rks bl Bksl esa fdukjksa dh la[;k_______

gSA

12/04/18

bdkbZ &6


31. ,d f=kfoeh; vkdkj esa] fod.kZ og js[kk[kaM gS tks ,sls nks 'kh"kks± dks feykus ls curk gS] tks,d gh

_______ ij fLFkr ugha gSA

32. ;fn ,d ekufp=k ij 4km dks 1cm ls fu:fir fd;k tkrk gS] rks 16km dks _______

cm ls fu:fir fd;k tk,xkA

33. ;fn nks A vkSj B LFkkuksa osQ chp dh okLrfod nwjh 110km dks ,d ekufp=k ij 25mm

ls fu:fir fd;k tkrk gS] rks ç;qDr LosQy _______

gSA

34. ,d iap Hkqtkdkj fç”e esa _______

iQyd gksrs gSaA

35. ;fn ,d fijkfeM dk vk/kj ,d "kM~Hkqt gS] rks blosQ 'kh"kks± dh la[;k _______

gSA

36. gS _______

n`'; dkA

37. esa ?kuksa dh la[;k _______

gSA

f=kfoeh; vkÑfr;ksa esa rhu foek,¡&yackbZ] pkSM+kbZ vkSj m¡QpkbZ gksrh gSaA f=kfoeh; vkÑfr esa likV i"B iQydgksrk gSA fdukjk og gS tgk¡ nks iQyd feyrs gSaA,d cgqiQydh ,slh f=kfoeh; vkÑfr gS ftlosQ lHkh iQyd cgqHkqt gSaA cgqiQydh dk ,d 'kh"kZ og fcanqgS tgk¡ rhu ;k vf/d fdukjs feyrs gSaA cgqiQydh dks uke nsus osQ fy, ftl iQyd dk mi;ksx gksrkgS] mls vk/kj dgrs gSaA

27. fn;s gq, tky dks eksM+dj ______ cuk;k tk ldrk gSaA

28. osQoy 1 'kh"kZ okyh Bksl vkÑfr ______ gSA

29. vkB fdukjksa okys fijkfeM esa iQydksa dh oqQy la[;k ______ gSA

30. ,d vk;rkdkj fç”e osQ tky esa ______ vk;r gksrs gSaA

(laosQr& çR;sd oxZ ,d vk;r gS] ijarq çR;sd vk;r ,d oxZ ugha gS)A

12/04/18

xf.kr


38. ;fn ,d cgqiQydh esa 'kh"kks± vkSj iQydksa dh la[;kvksa dk ;ksx 14 gS] rks bl vkdkj esafdukjksa dh la[;k

_______ gSA

39. le cgqiQyfd;ksa dh oqQy la[;k _______

gSA

40. ,d le cgqiQydh ,slk Bksl gS] tks ______ iQydksa ls curk gSA

41. fuEu Bksl esa ls çR;sd esa] ^lkeus ls*] ^ik'oZ* vkSj ^Åij ls* n`';ksa dks igpkfu, rFkk mUgsafn;s gq, LFkkuksa ij fyf[k,&

(a)

,d fiz”e esa nks vk/kj gksrs gSa vkSj ,d fijkfeM esa ,d vk/kj gksrk gSA

fiz”e fijkfeM

fiz”e ,d ,slk cgqiQydh gS ftlesa nks lekarj]lok±xle vk/kj gksrs gSaA vk/kj osQ dbZ cgqHkqtgks ldrs gSaA vU; iQyd lekarj prqHkqZt gksrs gSaA

fijkfeM ,d ,slk cgqiQydh gS ftlesa ,dvk/kj gksrk gSA vk/kj dksbZ cgqHkqt gks ldrk gSAvU; iQyd f=kHkqt gksrs gSaA

12/04/18

bdkbZ &6


lHkh iQyd cgqHkqt gSa vr% vkÑfr cgqiQydh gSAblesa ,d f=kHkqtkdkj vk/kj gSAvkÑfr ,d f=kHkqtkdkj fijkfeM gSA

lHkh iQyd cgqHkqt ugh gSaA vr% vkÑfr cgqiQydh ugha gSAblesa nks o`Ùkkdkj vk/kj gSaAvkÑfr ,d csyu gSA

lHkh iQyd cgqHkqt ugha gSaA vr% vkÑfr cgqiQydh ugha gSAblesa ,d o`Ùkkdkj vk/kj gSAvkÑfr ,d 'kaoqQ gSA

(c)

(b)

12/04/18

xf.kr



1. le>kb, fd fiz”e ;k fijkfeM oSQls igpkurs gSaA

2. csyuksa vkSj fiz”eksa dh rqyuk dhft, vkSj muesa Hksn dhft,A os fdl izdkj ,d tSls gSa\ os oSQlsvyx gSa\

3. fijkfeMksa vkSj 'kaoqQvksa dh rqyuk dhft, vkSj muesa Hksn dhft,A os oSQls ,d tSls gSa\ os oSQlsvyx gSa\

(d)

ç'u 42 ls 61 esa] crkb, fd dFku lR; gSa ;k vlR;&42. ?kukHk dk vU; uke prq"iQyd gSA

43. ,d cgqiQydh esa rhu iQyd gks ldrs gSaA

44. U;wure iQydksa okyk ,d cgqiQydh ,d f=kHkqtkdkj fijkfeM dgykrk gSA

45. le v"ViQyd esa] vkB lok±xle iQyd gksrs gSa] tks lef}ckgq f=kHkqt gksrs gSaA

46. iapHkqtkdkj fç”e esa] ik¡p iapHkqt gksrs gSaA

47. çR;sd csyu esa] 2 lEeq[k iQyd lok±xle o`Ùk gksrs gSaA vr%] ;g ,d fç”e Hkh gSA

48. vkW;yj dk lw=k lHkh f=kfoeh; vkdkjksa osQ fy, lR; gSA

49. ,d cgqiQydh esa 10 iQyd] 20 fdukjs vkSj 15 'kh"kZ gks ldrs gSaA

50. Åij ls vkÑfr dk n`'; gS&

uhps

mQij

12/04/18

bdkbZ &6


57. ,d csyu ,d f=kfoeh; vkdkj gS] ftlesa fofHkUu f=kT;kvksa osQ nks o`Ùkkdkj iQyd gksrs gSaA58. nk;ha rjiQ nh gqbZ vkÑfr osQ vk/kj ij ,d csyu osQ tky esa vk;r

dh yackbZ mlosQ tky esa o`Ùkksa dh ifjf/ osQ cjkcj gSA

59. ;fn ,d ekufp=k ij 100 m dh nwjh 1cm ls fu:fir dh tkrh gS]rks 2cm osQ laxr nwjh 200 m gSA

60. ;fn uhps n'kkZ, x, ,d tgkt osQ ekWMy dh Å¡pkbZ 3-5 cm gS] rkstgkt dh okLrfod Å¡pkbZ 210 cm gksxh] tcfd LosQy 1 % 60 pquktkrk gSA

61. fdlh LVksj osQ dejs dh okLrfod pkSM+kbZ 280 cm gSA ;fn bldh Mªkbax cukus osQ fy,]1 % 7 LosQy fy;k tkrk gS] rks Mªkbax esa dejs dh pkSM+kbZ 40 cm gksxhA

csyu vkSj 'kaoqQ cgqiQydh ugha gksrs gSa] D;ksafd os lHkh cgqHkqth; iQydksa ls ugha cus gksrs gSaA

csyu 'kaoqQ

,d csyu esa nks lekarj lok±xle vk/kj tks o`ÙkgSa] gksrs gSaA

,d 'kaoqQ esa ,d vk/kj gksrk gS tks ,d o`Ùk gS rFkk,d i`"B gksrk gS] tks ,d fcanq ij igq¡prk gS ftls'kh"kZ dgrs gSaA

51. ,d lekarj prqHkqZt esa fdukjksa dh la[;k 4 gSA

52. çR;sd Bksl vkdkj dk ,d vf}rh; tky gksrk gSA

53. fijkfeM esa dksbZ fod.kZ ugha gksrkA

54. nk;ha rjiQ fn;k x;k vkdkj ,d csyu gS&

55. ,d ?kukHk osQ U;wure 4 fod.kZ gksrs gSaA

56. lHkh ?ku fç”e gSaA

12/04/18

xf.kr


62. uhps nh xbZ lkj.kh dks iwjk dhft,&

Øe Bksl Bksl dk iQydksa dh 'kh"kks± dh fdukjksa dh F + V E + 2

No vkdkj la[;k F la[;k V la[;k E

a. ?kukHk

b. f=kHkqtkdkj

fijkfeM

c. oxkZdkj

fijkfeM

d. vk;rkdkj

fijkfeM

e. iapHkqtkdkj

fijkfeM

f. "kM~Hkqtkdkj

fijkfeM

g. f=kHkqtkdkj

fç”e

h. oxkZdkj

fç”e

i. ?ku

j. iapHkqtkdkj

fç”e

k. v"BHkqtkdkj

fç”e

l. lIrHkqtkdkj

fç”e

63. fuEu Bkslksa esa ls çR;sd esa fdrus iQyd gSa\

(a) prq"iQyd (b) "kV~iQyd

(c) v"BHkqtkdkj fijkfeM (d) v"ViQyd

12/04/18

bdkbZ &6


64. ,d le "kM~Hkqt vk/kj dk ,d fç”e [khafp,] ftldk ,d iQyd vkiosQ lkeus gksA vc]bl Bksl dk Åij ls n`';] lkeus ls n`'; vkSj ik'oZ n`'; [khafp,A

65. fuEu Bkslksa esa ls çR;sd esa fdrus 'kh"kZ gSa\

(a) 'kaoqQ (b) csyu

(c) xksyk (d) v"BHkqtkdkj fijkfeM

(e) prq"iQyd (f) "kM~Hkqtkdkj fç”e

66. fuEu Bkslksa esa ls çR;sd esa fdrus fdukjs gSa\

(a) 'kaoqQ (b) csyu

(c) xksyk (d) v"BHkqtkdkj fijkfeM

(e) "kM~Hkqtkdkj fç”e (f) osQfyMLdksi

67. fuEu vkdkjksa dks nsf[k, vkSj crkb, fd buesa dkSu&dkSu cgqiQydh gSaA

(a) (b) (c) (d)

(e) (f ) (g) (h) (i)

( j) (k) (l) (m)

12/04/18

xf.kr


68. uhps fn;s vkdkjksa esa ?kuksa dh la[;kvksa dks fxfu,&

(a) (b) (c) (d)

(e) (f ) (g) (h)

(i) ( j) (k) (l)

69. uhps fn, x, vkdkjksa osQ lkeus ls] ik'oZ vkSj Åij ls n`';ksa dks [khafp,&

(a) (b) (c) (d) (e) (f )

(g) (h) (i) ( j)

12/04/18

bdkbZ &6


iz;kl dhft,

1. ,d usV dk mi;ksx 3 cm × 6 cm × 9 cm dk ,d vk;rkdkj fiz”e cukus osQ fy, dhft,A

2. Å¡pkbZ 3 cm rFkk f=kT;k 1.5 cm dk ,d csyu cukus osQ fy, ,d usV dk mi;ksx dhft,A (laosQr%usV esa vk;r dh yackbZ o`Ùk dh ifjf/ ls lqesfyr gksuh pkfg,] blfy, yackbZ 2πr = 2π x1.5 ≈

9.42 cm gksuh pkfg,A)

70. vkW;yj osQ lw=k dk ç;ksx djrs gq,] uhps nh xbZ lkj.kh esa vKkr x, y, z, p, q, r, dksKkr dhft,&

(i) (ii) (iii) (iv) (v) (vi)

iQyd 7 y 9 p 6 8

'kh"kZ 10 12 z 6 q 11

fdukjs x 18 16 12 12 r

fiz”eksa vkSj csyuksa dks cukus esa usVksa dk mi;ksx

,d usV f}foeh; ,slk iSVuZ gS ftldks rg djosQ f=kfoeh; vkÑfr cuk;h tk losQA vki 1cm okys xzkiQisij dk mi;ksx usV cukus esa dj ldrs gSaAfØ;kdyki

1. vk;rkdkj fiz”e cukus esa usV dk mi;ksx

a. nk,¡ vksj nh x;h usV dks ,d xzkiQ isij ij[khafp,A izR;sd vk;r 10 oxZ × 4 oxZ dk gSA nksoxZ izR;sd vksj 4 NksVs oxZ osQ cjkcj gSaA

b. usV dks dkVdj fudky yhft,A izR;sd vk;rosQ vuq rg dj ,d vk;rkdkj fiz”e cuk yhft,Afdukjksa dks Vsi ls fpidkdj mls fLFkj dhft,A

2. csyu cukus esa usV dk mi;ksx

a. nk,¡ vksj dh usV dks ,d xzkiQ isij ij [khafp,A vk;r 25 oxZ× 8 oxZ dk gSA o`Ùkksa dks cukus osQ fy, ijdkj dk mi;ksx dhft,AizR;sd o`Ùk dh f=kT;k 4 oxks± osQ cjkcj gSA

b. usV dks dkVdj fudky yhft,A usV dks] tSlk fn[kk;k x;k gS]rg djosQ ,d csyu cuk yhft,A fdukjksa dks Vsi ls fpidkdj mlsfLFkj dhft,A

12/04/18

xf.kr



1. vk;rkdkj fiz”e] tks vkius cuk;k gS] dh foek,¡ D;k gSa\

2. csyu] tks vkius cuk;k gS] dh Å¡pkbZ D;k gS\ csyu dh f=kT;k D;k gS\

71. D;k fdlh cgqiQydh esa V = F = 9 vkSj E = 16 gks ldrk gS\ ;fn gk¡] rks bldhvkÑfr [khafp,A

72. tk¡p dhft, fd D;k ,d cgqiQydh esa V = 12, E = 6 vkSj F = 8 gks ldrk gSA

73. ,d cgqiQydh esa 60 fdukjs vkSj 40 'kh"kZ gSaA mlosQ iQydksa dh la[;k Kkr dhft,A

74. uhps fn;s x, vkdkjksa esa iQydksa dh la[;k Kkr dhft,&

(a) (b) (c)

75. ,d cgqiQydh esa 20 iQyd vkSj 12 'kh"kZ gSaA blosQ fdukjksa dh la[;k Kkr dhft,A

76. ,d cgqiQydh esa 40 iQyd vkSj 60 fdukjs gSaA bl Bksl osQ 'kh"kks± dh la[;k Kkr dhft,A

77. ,d le gsDlkgsMªu dk ,d tky [khafp,] ftldh Hkqtk,¡ 3cm gksaA (laosQr& le "kV~iQyd,d ?ku gksrk gSA)

78. 6 cm dh Hkqtk ysdj ,d le prq"iQyd dk tky [khafp,A

79. fuEu ?kukHk dk tky [khafp,&

80. fuEu dk lqesyu dhft,&

vkÑfr uke

(a) (a) "kV~iQyd

12/04/18

bdkbZ &6


(b) (b) "kM~Hkqtkdkj fç”e

(c) (c) oxkZdkj fijkfeM

(d) (d) 'kaoqQ

(e) "kM~Hkqtkdkj fijkfeM

81. fn;s x;s Bksl esa ykxw xq.k osQ vk/kj ij fuEu lkj.kh esa lgh fpg~u () yxkdj iwjk dhft,&

Bksl

xq.k 'kaoqQ csyu fç”e fijkfeM

1- vkÑfr ,d cgqiQydh gSA

2- vkÑfr osQ fod.kZ gSaA

3- vkdkj esa ,d oØh; fdukjk gSA

4- vkÑfr dk vk/kj ,d cgqHkqt gSA

5- nksuksa vk/kj lok±xle gSaA

6- vkÑfr dk vk/kj ,d cgqHkqt gS vkSj vU; iQyd ,d fcanq ij feyrs gSaA

7- vkÑfr osQ vk/kj dk ,d oØh; fdukjk gS rFkk vU; iQyd ,d fcanq ij feyrs gSaA

82. fuEu vkdkj dk ,d tky [khafp,&

12/04/18

xf.kr


83. fuEu vkdkj dk ,d tky [khafp,&

(laosQr& iapHkqt lok±xle ugha gaSA)

84. fuEu Bksl osQ vk/kj okyh ijr esa ?kuksa dh la[;k Kkr dhft,&

85. mijksDr vkÑfr esa] ;fn Åij ls osQoy Nk;kafdr ?ku gh fn[kk;h nsrs gSa] rks vk/kj dh ijr[khafp,A

86. n Hkqtkvksa okys cgqHkqt osQ vk/kj osQ fijkfeM esa fdrus iQyd] fdukjs vkSj 'kh"kZ gSa\

87. ,d vkÑfr [khafp, tks vkidh xf.kr iqLrd dks fu:fir djrh gSA bl vkÑfr dk D;k ukegS\ D;k ;g ,d fç”e gS\

88. uhps nh xbZ vkÑfr;ksa esa fofHkUu lac¼ vkdkjksa dks igpkfu,&

(a) (b)

89. ;fn fdlh ?ku dh osQoy Å¡pkbZ gh c<+kbZ ;k ?kVkbZ tkrh gS] rks dkSu&lh vkÑfr curh gS\

12/04/18

bdkbZ &6


90. uhps fn, gq, tkyksa dks igpkfu, vkSj buls cuus okys Bksl osQ uke fn;s gq, LFkku ij fyf[k,&

tky Bksl dk uke

(a)

(b)

(c)

(d)

(e)

(f)

12/04/18

xf.kr


91. vius LowQy osQ [ksy osQ eSnku dk ,d ekufp=k [khafp,A lHkh egRoiw.kZ LFkkuksa tSls ykbczsjh][ksy dk eSnku] esfMdy d{k] d{kk;sa] çkFkZuk lHkk LFky bR;kfn dks vafdr dhft,A

92. vkxs vkus ç'uksa osQ mÙkj nsus osQ fy, fuEu ekufp=k dks nsf[k,&

(a) jktdh; ekWMy LowQy 1 dk fufeZr {ks=kiQy D;k gS\

(b) fp=k esa n'kkZ, LowQyksa osQ uke fyf[k,A

(c) dkSu&lk ikoZQ fMLisaljh osQ fudVre gS\

(d) eq[; cktkj fdl CykWd esa gS\

(e) ekufp=k esa fdrus ikoZQ fu:fir gSa\

93. vkxs fn, x, ekufp=k dks nsf[k, rFkk fuEu ç'uksa osQ mÙkj nhft,&

(a) dkSu&ls nks vLirky ,d nwljs osQ lkeus gSa\

(b) ,d O;fDr] tks uhfr ckx esa jgrk gS] viuh iq=kh dks ,f'k;kM VkWoj ij NksM+ dj fpjkxfnYyh igq¡prk gSA lM+dksa ij tkrs le; mls dkSu&dkSu ls eq[; LFkku feysaxs\

12/04/18

bdkbZ &6


(c) fdl lM+d dk uke fdlh eghus osQ uke tSlk gS\

94. uhps fn;s ekufp=k dks nsf[k,&

?kj

12/04/18

xf.kr


vc fuEu ç'uksa osQ mÙkj nhft,&

(a) mu lM+dksa osQ uke fyf[k, tks xksy pDdj ij feyrh gSaA

(b) LVsfM;e dk D;k irk gS\

(c) iqfyl LVs'ku fdl jksM ij fLFkr gS\

(d) ;fn jhfrdk cSad osQ ikl jgrh gS] vkidks mls ,d dkMZ Hkstuk gS] rks ml ij D;k irkfy[ksaxs\

(e) fdl lsDVj esa ?kjksa dh la[;k vf/dre gS\

(f ) fdl lsDVj esa iQk;j LVs'ku fLFkr gS\

(g) ekufp=k esa fdrus lsDVj n'kkZ, x;s gSa\

95. ,d iQksVksxzkiQj uhps n'kkZ, x, xzkiQ osQ vuqlkj ,d iQksVks dks cM+s lkbt esa cukus osQ fy,,d daI;wVj çksxzke dk ç;ksx djrk gSA mldh pkSM+kbZ dks fdl LosQy }kjk c<+k;k x;k gS\

96. ,d oxkZdkj cksMZ dh Hkqtk 50cm gSA ,d fo|kFkhZ dks bl cksMZ dk viuh vH;kl&iqfLrdkij ,d çfrfcac cukuk gSA ;fn vH;kl&iqfLrdk ij bl oxkZdkj cksMZ dh Mªkbax dk ifjeki40cm gS] rks ;g vkÑfr fdl LosQy ij [khaph x;h gS\

97. ,d yM+dh osQ LowQy vkSj ?kj dh nwjh ,d fp=k esa] 1cm % 5cm LosQy dk ç;ksx djrsgq, 5cm nh gqbZ gSA nksuksa LFkkuksa osQ chp dh okLrfod nwjh Kkr dhft,A

12/04/18

bdkbZ &6


98. uhps fn;s ekufp=k esa fcanqfdr js[kkvksa }kjk feyk;s x;s LFkkuksa osQ chp dh nwjh (lseh esa) iVjhls ekfi,A ;fn ;g ekufp=k LosQy 1lseh % 10cm ij [khapk x;k gS] rks fuEu osQ chp dhokLrfod nwfj;k¡ Kkr dhft,&(1) LowQy vkSj ykbczsjh(2) dkWyst vkSj dkWEiysDl

(3) ?kj vkSj LowQy

99. ,d isafVx dh okLrfod yackbZ 2m gSA bldh fp=k esa D;k yackbZ gS] ;fn 1mm % 20cm

LosQy dk ç;ksx fd;k x;k gS\

100. LosQy Kkr dhft,&

(a) okLrfod eki 12m

Mªkbax esa eki 3cm

(b) okLrfod eki 45m

Mªkbax esa eki 5cm

101. fdlh 'kgj esa] ,d vkblØhe ikyZj us vkblØhe dh 360 cm Å¡ph ,d ewfrZ çnf'kZr dhgqbZ gSA ikyZj okyk ;g nkok djrk gS fd ;s vkblØhe vkSj ewfrZ 1% 30 osQ LosQy esa gSaA ijkslhtkus okyh vkblØheksa dh Å¡pkbZ fdruh gS\

12/04/18

xf.kr


vuqiz;ksx

fØ;kdyki 1% çkjaHk ls lekIr rd tkus dk lcls mi;qDr jkLrk Kkr dhft,&

(pys x;s jkLrs ;k iFk dks n'kkZus osQ fy, vius ilan osQ jax osQ isu dk ç;ksxdhft,A

izkjaHk

var

izkjaHk

var

12/04/18

bdkbZ &6


fØ;kdyki 2% jksfgr 7 o"kZ dk ,d cPpk gSA mlosQ pkpk jkt us jksfgr ls ?kj ls [ksydkWEiysDl rd tkus dk ,d ekufp=k [khapus dks dgkA mlus fuEu ekufp=k[khapk&

vius dks jksfgr dk ekrk @ firk le>rs gq,] D;k vki pkpk jkt dh ,d bllsvPNk ekufp=k [khapus esa lgk;rk dj ldrs gSa\

fØ;kdyki 3% uhps fn;s x;s 'kgj osQ ekufp=k dks nsf[k,&

(a) bl ekufp=k dks fn;s x;s dyj dksM dk ç;ksx djrs gq, jax Hkfj,&

uhyk&ikuh] yky&iQk;j LVs'ku] lisQn vLirky] gjk&ikoZQ] unh osQfdukjs&Øhe] igkM+&HkwjsA

(b) ?kj ls rkykc rd igq¡pus dk lcls NksVk jkLrk rhjksa }kjk n'kkZb,A

(c) Nk=k ekxZ vkSj gkml ysu osQ çfrPNsnu ij X vafdr dhft,A

12/04/18

xf.kr


fØ;kdyki 4% jaxhu 'khVksa ij uhps fn;s x, tky bl çdkj [khafp, fd f=kHkqt dh Hkqtk 3 lsehgks rFkk mlosQ lEeq[k og vkdkj cukus dk ç;kl dhft,A buesa fdukjksa] iQydksavkSj 'kh"kks± dh la[;k,¡ fxfu, rFkk vkW;yj osQ lw=k dk lR;kiu dhft,A

(a)

(b)

(c)

(d)

12/04/18

bdkbZ &6


(e)

(f)

(g)

fØ;kdyki 5% vuqeku yxkb,] eSa dkSu gw¡] D;ksafd esjk uke uhps ckWDl esa fn;k gSA gk¡! esjs ukedh Lisfyax mFky&iqFky gks x;h gSA

fn;s gq, laosQr ls bls igpkuus dk ç;kl dhft, vkSj fjDr LFkku esa fyf[k,A

(1) eSa U;wure iQydksa okyk cgqiQydh g¡wA ________

(2) eSa ,d fç”e gw¡ ftldk çR;sd iQyd ,d oxZ gSA ________

(3) oaQps dh rjg fn[krk gw¡] ijarq dksbZ 'kh"kZ ugha ________

(4) eSa ,d Bksl gw¡ ftldk vk/kj cgqHkqth; gS vkSj vU; iQyd f=kHkqt gSaA ________

12/04/18

xf.kr


fØ;kdyki 6%vius eksgYys dk ,d ekufp=k [khafp,] ftlesa vkiosQ lsDVj @ CykWd dk iw.kZfooj.k gksA lkFk gh] oqQN eq[; igpku osQ LFkku Hkh crkb, ftuls vkiosQfe=k dks vkiosQ lsDVj @ CykWd esa vkidk ?kj <w¡<+us esa lgk;rk feysA

fozQ;kdyki 7%ØkWloMZ igsyh

fn;s gq, laosQrksa osQ vk/kj ij fuEu osQ mÙkj nhft, vkSj ØkWloMZ dks vaxzsth osQ v{kjksa}kjk Hkfj,&

,ØkWl

1. Polyhedron whose lateral faces are parallelograms.

1. cgqiQydh ftlosQ ik'oZiQyd lekarj prqHkZqt gSaA

2. Prism having fifteen edges

2. ianzg fdukjksa okyk fç”eA

5. Another name for a square prism

5. ,sls fç”e dk vU; uke ftlosQ lHkh iQyd lok±xle oxZ gSaA

7. Polyhedron made up of four triangles

7. pkj f=kHkqtksa ls cuk cgqiQydhA

8. Polyhedron made up of convex polygons

8. mÙky cgqHkqtksa ls cuk cgqiQydhA

12/04/18

bdkbZ &6


Mkmu

2. Polyhedron whose lateral faces are triangles.

2. cgqiQydh ftlosQ ik'oZiQyd f=kHkqt gSaA

3. In a solid shape, the line segment joining two vertices not lying

on the same face.

3. ,d Bksl vkdkj esa] mu 'kh"kks± dks feykus okyk js[kk[kaM tks ,d gh iQyd ij ugha fLFkrgksaA

4. A 3-D shape having no vertex.

4. ,d 3D vkdkj ftldk dksbZ 'kh"kZ ugha gSA

6. A solid figure having only one vertex.

6. osQoy ,d 'kh"kZ okyh Bksl vkÑfrA

7. Number of pentagons in a pentagonal prism.

7. ,d iapHkqtkdkj fçTe esa iapHkqtksa dh la[;kA

9. Point where edges of a solid shape meet.

9. og fcanq tgk¡ Bksl vkdkj osQ fdukjs feyrs gSaA

12/04/18

Unit 6 Visualising Solid Shapes Hindincert.nic.in/ncerts/l/hhep206.pdf · mnkgj.k 15%,d Hkou dh...

Documents

Transcript of Unit 6 Visualising Solid Shapes Hindincert.nic.in/ncerts/l/hhep206.pdf · mnkgj.k 15%,d Hkou dh...