Maths - Grade 9 - Part II - Tamil Final File G9 PII T/cha 23.pdf · 88,ytr tpepNahfj;jpw;fhf...

,ytr tpepNahfj;jpw;fhf,ytr tpepNahfj;jpw;fhf,ytr tpepNahfj;jpw;fhf,ytr tpepNahfj;jpw;fhf,ytr tpepNahfj;jpw;fhf86

nyhj;ju; rPl;bOg;nghd;wpy; 1 - 8 tiu vz;fsplg;gl;l xU RoYk; jl;by;

fhl;bf;F vjpNu jupj;j vz; ntw;wp vz;zhff; fUjg;gLk;.

,ay;jftpw;Nfw;g epfo;Tfis %d;W tiffshf tifg;gLj;jyhk;.

epr;rakhf elf;Fk;.

vg;NghJNk elf;fhJ.

rpyNtisfspy; elf;Fk;.

23epfo;jfTepfo;jfTepfo;jfTepfo;jfTepfo;jfT

23.1 vOkhw;W gupNrhjidfs;23.1 vOkhw;W gupNrhjidfs;23.1 vOkhw;W gupNrhjidfs;23.1 vOkhw;W gupNrhjidfs;23.1 vOkhw;W gupNrhjidfs;

ehd; ,e;j ehzaj;ij NkNy Rz;Lk;NghJ,k;Kiw vdf;Ff; fpilf;Fk; Ngiwj;jpyPgdhy; $wKbAkh ?

fpilf;ff;$ba Ngiw ehd; mwpNtd; MdhYk; ,e;jj; jlitfpilg;gJ vJntd vd;;dhy; rupahff; $w KbahJ.

jk;gp mtw;iw ehq;fs;vOkhw;W gupNrhjidvd;Nghk;.

,g;ghlj;ijf; fw;gjd; %yk; ePq;fs;

vOkhw;W gupNrhjid mwpe;J nfhs;sy;

vOkhw;W gupNrhjidapd; khjpup ntspia vOJjy;

rk jfTila epfo;tpd; epfo;jfitf; fzpj;jy;vd;Dk; Nju;r;rpfis miltPu;fs;.

jpyPgdplk; xU

rPl;NlDk; ,y;iy

jpyPgDf;F xUNghJk;

ntw;wp fpl;lhJ

mjp\;lr; rf;fuk;

fy;ahzpaplk; 4

rPl;Lfs; cz;L

mtSf;Fr; rpyNtis

ntw;wp fpl;lyhk;.

gj;kpdpaplk; 1 Kjy; 8 tiu

vz;fsplg;gl;l rPl;Lfs; cz;L

,tSf;F epr;rakhf

ntw;wpfpl;Lk;

1

2

3

4 5

6

7

8

,ytr tpepNahfj;jpw;fhf,ytr tpepNahfj;jpw;fhf,ytr tpepNahfj;jpw;fhf,ytr tpepNahfj;jpw;fhf,ytr tpepNahfj;jpw;fhf 87

vOkhw;Wg; gupNrhjid xd;wpd; gz;Gfisg; gpd;tUkhW Kd;itf;fyhk;.

fpilf;ff;$ba rfy NgWfisAk; Kd;dNuNa mwpe;jpUj;jy;

mr;re;ju;g;gj;jpy; fpilf;Fk; Ngiwr; re;Njfj;Jf;fplkpd;wpf; $w

Kbahik

gupNrhjidia kPz;Lk; kPz;Lk; nra;af;$bajhapUg;gJ

kPz;Lk; kPz;Lk; nra;jhYk; NgWfspy; VNjDk; Nfhynkhd;W

fhzg;glhik

vOkhw;Wg; gupNrhjidfs; vOkhw;Wj; jd;ikAilait vdg;gLk;.

fPNo fhl;lg;gl;Ls;s gk;guj;ijr; Royr; nra;J Nkirapd; Nkw;gug;igj;

njhLk; tpspk;igf; nfhz;l Kf;Nfhzpapy; Fwpf;fg;gl;Ls;s vz;

Fwpf;fg;gLk;. ,t;thW kPz;Lk; kPz;Lk; nra;Ak;NghJ fpilf;f$ba rfy

NgWfSk; fPNo cUtpy; fhl;lg;gl;Ls;sd.

gupNrhjidia kPz;Lk; kPz;Lk; nra;Ak;NghJ fpilf;Fk; rfy NgWfSk;

cs;slq;fpa njhil khjpup ntsp vdg;gLk;. ,e;epfo;r;rpapd; khjpup

ntsp S = {1, 2, 3, 4, 5} MFk;.

NkNyAs;s khjpup ntspapy; cs;s rpy njhilg;gpupTfs; fPNo

fhl;lg;gl;Ls;sd.

NgW 1 A = {1}

NgW 2 B = {2}

NgW 3 C = {3}

xw;iw vz;nzhd;iwg; ngwy; = {1, 3, 5}

,ul;il vz;nzhd;iwg; ngwy; = {2, 4}

Kjd;ik vz;nzhd;iwg; ngwy; = {2, 3, 5}

ahjhapDnkhU gupNrhjidapy; fpilf;fj;jf;f rfy NgWfSk;ahjhapDnkhU gupNrhjidapy; fpilf;fj;jf;f rfy NgWfSk;ahjhapDnkhU gupNrhjidapy; fpilf;fj;jf;f rfy NgWfSk;ahjhapDnkhU gupNrhjidapy; fpilf;fj;jf;f rfy NgWfSk;ahjhapDnkhU gupNrhjidapy; fpilf;fj;jf;f rfy NgWfSk;cs;slq;fpa njhilahdJ mg;gupNrhjidapd; khjpupcs;slq;fpa njhilahdJ mg;gupNrhjidapd; khjpupcs;slq;fpa njhilahdJ mg;gupNrhjidapd; khjpupcs;slq;fpa njhilahdJ mg;gupNrhjidapd; khjpupcs;slq;fpa njhilahdJ mg;gupNrhjidapd; khjpup ntsp vdg;gLk;.ntsp vdg;gLk;.ntsp vdg;gLk;.ntsp vdg;gLk;.ntsp vdg;gLk;.

23.2 khjpupntsp 23.2 khjpupntsp 23.2 khjpupntsp 23.2 khjpupntsp 23.2 khjpupntsp (sample space)

NgW 1 NgW 2 NgW 3 NgW 5

1

2

34

5

<<

1

2

3

4 5 1

2

3

4

5 12

3

4

51

2 3

4

5

NgW 4

1

2

34

5


gapw;rp 23.1gapw;rp 23.1gapw;rp 23.1gapw;rp 23.1gapw;rp 23.1

,it jtpu> NkYk; gy njhilg; gpupTfis vOjyhk;. khjpup

ntspapypUe;J vOjf;$ba rfy njhilg; gpupTfSk; epfo;r;rpfs;

vdg;gLk;.

Kfq;fspy; 1> 2> 3> 4 vdf; Fwpf;fg;gl;Ls;s xU ehd;Kfpia cUl;Lk;NghJ

cupa khjpup ntsp S = {1, 2, 3, 4}

{1} vd;gJ 1 ngwg;gLk; xU epfo;r;rpahFk;.

{2} vd;gJ 2 ngwg;gLk; xU epfo;r;rpahFk;.

2 ,Yk; $ba vz;fs; ngwg;gLk; xU epfo;r;rp = {3, 4}

xw;iw vz;fs; ngwg;gLk; xU epfo;r;rp = {1, 3}

rJu vz;fs; ngwg;gLk; xU epfo;r;rp = {1, 4}

,t;thwhd epfo;r;rpfspy; kPz;Lk; gpupTfshf;f Kbahj epfo;r;rpfs; vspa

epfo;r;rpfs; vdg;gLk;.

1 ngwg;gLjy;> 2 ngwg;gLjy; Nghd;w epfo;r;rpfis kPz;Lk; gpupTfshf;f

Kbahnjd;gjhy; mit vspa epfo;r;rpfs; vspa epfo;r;rpfs; vspa epfo;r;rpfs; vspa epfo;r;rpfs; vspa epfo;r;rpfs; MFk;.

fPNo jug;gl;Ls;s xt;nthU re;ju;g;gj;jpYk; khjpup ntspia vOjp

xt;nthU khjpup ntspapypUe;Jk; ckf;F tpUg;gkhd 2 epfo;r;rpfs;

tPjk; vOJf.

1. Nfhlhj ehzankhd;iw NkNy vwpjy;.

2. Kfq;fspy; 1> 2> 3> 4> 5> 6 vdf; Fwpf;fg;gl;l rJuKfpj;

jhaf;fl;ilnahd;iw cUl;Ljy;.

3 . ,q;Nf fhl;lg;gl;Ls;s gk;guj;ijr; Roy tpLk;NghJ

Nkiriaj; njhLk; Kf;Nfhzp tbt Kfj;jpYs;s

vz;.

4. rptg;G1> rptg;G

2> ePyk;

1> ePyk;

2> ePyk;

3 vdf; Fwpf;fg;gl;Ls;s xNu

tbtKila 5 ge;Jfisf; nfhz;Ls;s xU igapypUe;J vOkhwhf

xU ge;ij ntspNa vLj;jy;.

5. 3 Mz;fSk; 4 ngz;fSKs;s xU FOtpypUe;J vOkhwhf xU

jiytiuj; njupjy;.

1

65

4

32

cjhuzk; 23.1cjhuzk; 23.1cjhuzk; 23.1cjhuzk; 23.1cjhuzk; 23.1

>

>

>


6. 1 njhlf;fk; 10 tiu vz;fs; vOjg;gl;l xNu mstpyhd ml;ilfisf;

nfhz;l xU ngl;bapypUe;J vOkhwhf Xu; ml;ilia vLj;jy;.

7. thuj;jpYs;s 7 ehl;fspy; xU ehis vOkhwhfj; njupjy;.

8. xU thfdj; jupg;gplj;jpy; 3 Kr;rf;futz;bfSk; 4 Ntd;fSk; 3

fhu;fSk; epWj;jg;gl;Ls;sd. jupg;gplj;jpypUe;J ntspNaWk; Kjy;

thfdk;.

9. xU igapy; 5 ];Nuhgup RitAila ,dpg;GfSk; 3 Njhlk;gor; RitAila

,dpg;GfSk; cz;L. igapypUe;J vOkhwhf Xu; ,dpg;ig ntspNa vLj;jy;.

rk Neu;jfTila epfo;r;rpfs;rk Neu;jfTila epfo;r;rpfs;rk Neu;jfTila epfo;r;rpfs;rk Neu;jfTila epfo;r;rpfs;rk Neu;jfTila epfo;r;rpfs;

rkr;rPuhd NfhlhjrJuKfpj; jhaf;fl;ilxd;iw NkNy vwpjy;.

ngwj;jf;f MW NgWfs; cz;L.xt;nthU NgiwAk; ngwj;jf;f,ay;jfT rkdhFk;.

rfy NgWfSk; rk Neu;jfTilaitahFk;

rkr;rPuhd Nfhlhjehzankhd;iw NkNyvwpjy;.

ngwj;jf;f ,uz;L NgWfs;cz;L. xt;nthU NgiwAk;ngwj;jf;f ,ay;jfTrkdhFk;.

,g;NgWfs; ,uz;Lk; rkNeu;jfTilaitahFk;

jiy G+

,J xU rJuKfpj; jhaf;fl;il

MFk;. MW Kfq;fspy; 1> 2> 3>

4> 5> 6 vdf; Fwpf;fg;gl;Ls;sJ.

,J fdTU tbtpyhd xU jhaf;fl;il

MFk;. MW Kfq;fspy; 1> 2> 3> 4> 5> 6

vdf; Fwpf;fg;gl;Ls;sJ.

1

2

3(A) (B)

12

3

23.3 rk Neu;jfTila epfo;r;rpfs; 23.3 rk Neu;jfTila epfo;r;rpfs; 23.3 rk Neu;jfTila epfo;r;rpfs; 23.3 rk Neu;jfTila epfo;r;rpfs; 23.3 rk Neu;jfTila epfo;r;rpfs;



Kjyhtij (A) NkNy vwpAk;NghJ rfy epfo;TfSf;Fkhd ,ay;jfT

rkdhFk;. vdNt ,J Nfhlhj rPuhd jhaf;fl;ilahFk;.

,uz;lhtij (B) NkNy vwpAk;NghJ 3 ngwg;gLtjw;fhd ,ay;jfT

$bajhFk;. Mdhy; 2 ngwg;gLtjw;fhd ,ay;jfT mjpYk;

FiwthdjhFk;. rJuKfpj; jhaf;fl;ilapy; epfo;r;rpfSf;fhd

,ay;jfTfs; rkdhdjhy; mit rkjfTilad MtJld; fdTU

tbtpyhd jhaf;fl;ilapy; epfo;r;rpfSf;fhd ,ay;jfTfs; rkdw;wit

Mtjhy; mit rkjfTilad my;y.

NkYnkhU epfo;r;rpiaf; ftdj;jpy; nfhs;Nthk;.

xU fhfpjg; igapy; xNu mstpyhd 3 rptg;Gg; ge;JfSk; 5 nts;isg;

ge;JfSk; 4 kQ;rs; ge;JfSk; cz;L. igapypUe;J vOkhwhf

(njupjypd;wp) xU ge;ij vLf;Fk;NghJ ve;jnthU ge;Jk; ngwg;glyhk;.

xt;nthU ge;Jf;Fk; cupa re;ju;g;gk; rkdhFk;. ,t;thwhd epfo;r;rpfs;

rk Neu;jfTila epfo;r;rpfs; vdg;gLk;.

gpd;tUk; xt;nthU re;ju;g;gj;jpYk; khjpup ntspapy; xt;nthU

%yfj;jpdhYk; fhl;lg;gLk; epfo;r;rpfs; rkNeu;jfTiladthapd;

fl;lj;jpDs; ''√'' vdTk; rkNeu;jftw;wit vdpd; ''Χ'' vdTk; Fwpf;f.

1. rPuhd Nfhlhj xU rJuKfpj;

jhaf;fl;ilia cUl;Ljy;. S = {1, 2, 3, 4, 5, 6}

2. Nfhlhj ehzankhd;iw NkNy vwpjy;. S = {H, T}

3. xU tiujy; Crpia NkNy vwpjy; S =

4. xU Nrhlh %bia NkNy vwpjy;. S =

5. xU Nrhfpia NkNy vwpjy;. S =

6. xU igapYs;s xNu mstpyhd 3

rptg;G Nfhypf; Fz;Lfs; 4 gr;ir

Nfhypf;Fz;Lfspd; njhFjpapypUe;J

xd;iw vOkhwhf vLj;jy;.

7. xU gf;fj;jpy; rpwpJ <ak; G+rg;;gl;l

xU ehzaj;ij NkNy vwpjy;.

S = {R1,R

2,R

3,G

1,G

2,G

3,G

4}

S = {H, T}

rkdhd ,ay;jfTfisAila epfo;r;rpfs; rk Neu;jfTilaepfo;r;rpfs; MFk;.


8. xU rPl ;Lf;fl;bypUe;J

vOkhwhf xU rPl;bid

ntspNa vLj;jy;.

(,q;F 4 tifahd rPl;Lf;fs; cz;L)

9. 6 Kfq;fisf; nfhz;l rPuhd rJuKfpj; jhaf;fl;il xd;wpd;

2 Kfq;fspy; rptg;G epwKk; 3 Kfq;fspy; gr;ir epwKk; 1

Kfj;jpy; ePy epwKk; G+rg;gl;Ls;sd. ,j;jhaf;fl;ilia

NkNy cUl;Lk;;NghJ rptg;G my;yJ gr;ir my;yJ ePy

epwj;ijg; ngWjy;.

epfo;r;rp A apw;Fupa %yfq;fspd; vz;zpf;if n(A) MfTk; khjpup

ntspapd; %yfq;fspd; vz;zpf;if n(S) MfTk; epfo;r;rp A apd; epfo;jfT

P(A) MfTk; ,Ug;gpd;>

p An A

n S( )

( )

( )=

Kfq;fspy; 1> 2> 3> 4> 5> 6 vdf; Fwpf;fg;gl;Ls;s xU rJuKfpj;

jhaf;fl;ilia NkNy cUl;;Ltijf; fUJNthk;.

Xu; xw;iw vz; fpilg;gjw;fhd epfo;T A Mapd;

A = {1, 3, 5} ck; n(A) = 3 ck; MFk;.

/ Xu; xw;iw vz; fpilg;gjw;fhd epfo;jfT P(A) = n(A)

n(S)

= 3

6 = 1

2

S = {ilkd;l;> Mlj;jd;>

];Nfhg;gd;> fyhtu}


1fpilg;gjw;fhd

epfo;jfT

1

6

2

fpilg;gjw;fhd

epfo;jfT

1

6

3

fpilg;gjw;fhd

epfo;jfT

1

6

4

fpilg;gjw;fhd

epfo;jfT

1

6

5

fpilg;gjw;fhd

epfo;jfT

1

6

6

fpilg;gjw;fhd

epfo;jfT

1

6

23.4 rkNeu;jfTila xU epfo;r;rpapd; epfo;jfT23.4 rkNeu;jfTila xU epfo;r;rpapd; epfo;jfT23.4 rkNeu;jfTila xU epfo;r;rpapd; epfo;jfT23.4 rkNeu;jfTila xU epfo;r;rpapd; epfo;jfT23.4 rkNeu;jfTila xU epfo;r;rpapd; epfo;jfT

vjpu;g;ghu;f;fg;gLk; xUepfo;r;rpapd; epfo;jfT =

vjpu;;ghu;f;fg;gLk; epfo;r;rpapd; njhilapYs;s%yfq;fspd; vz;zpf;if

khjpup ntspapYs;s %yfq;fspd;vz;zpf;if

P


xU Kjd;ik vz; fpilg;gjw;fhd epfo;T B Mapd;>

B = {2, 3, 5}, n(B) = 3

/ xU Kjd;ik vz; fpilg;gjw;fhd epfo;jfT P(B) = n(B)

n(S)

= 3

6=1

2

xU igapy; xNu mstpyhd 07 rptg;G khgps;fSk; 05 ePy khgps;fSk;

03 kQ;rs; khgps;fSk; cz;L. tpkyd; ,tw;wpypUe;J vOkhwhf xU

khgpis vLj;jhd;.

(i) fpilf;fj;jf;f NgWfspd; khjpup nts;pia vOJf.

S = {R1, R

2, R

3, R

4, R

5, R

6, R

7, B

1, B

2, B

3, B

4, B

5, Y

1, Y

2, Y

3}

(ii) n(S) vt;tsT?

n(S) = 15

(iii) xU rptg;G khgps; fpilg;gjw;fhd epfo;r;rpfspd; njhil A

Mapd;> njhil A ia vOJf.

A = {R1, R

2, R

3, R

4, R

5, R

6, R

7}

(iv) n(A) vt;tsT?

n(A) = 7

(v) xU rptg;G khgps; fpilg;gjw;fhd epfo;jfitf; fhz;f.

P(A) = n(A)

n(S)

= 7

15

(vi) xU rptg;G khgps; fpilf;fhjpUg;gjw;fhd epfo;r;rpfspd; njhil

B Mapd;> njhil B I vOJf.

B = {B1, B

2, B

3, B

4, B

5, Y

1, Y

2, Y

3}

(vii) n(B) vt;tsT?

n(B) = 8

(viii) xU rptg;G khgps; fpilf;fhjpUg;gjw;fhd epfo;jfitf; fhz;f.

P(B) = n(B)

n(S)

= 8

15




1

2

3

45

6

7

8

>

1

2

3

45

3

45

,J xU Kf;fpakhd NgwhFk;.

1. xU rJuKfpj; jhaf;fl;ilapy; xt;nthU Kfj;jpYk; 1 Kjy; 6

tiu vz;fs; ,lg;gl;Ls;sd. epyhk; ,jid xU jlit NkNy

vwpfpwhd;.

(i) fpilf;fj;jf;f NgWfspd; khjpup ntspia vOJf.

(ii) 3 fpilg;gjw;fhd epfo;jfT ahJ?

(iii) xU Kjd;ik vz; fpilg;gjw;fhd epfo;r;rp A Mapd;> njhil A

apd; %yfq;fis vOJf.

(iv) n(A) vt;tsT?

(v) P(A) If; fhz;f.

2.

(i) cUtpYs;s gk;guj;ijr; Royr; nra;Ak;NghJ Nkirapd; kPJ

njhLifAWk; tpspk;igf; nfhz;l Kf;Nfhzpapy; Fwpf;fg;gl;Ls;s

vz;zhfg; ngw;Wf; nfhs;sf; $ba rfy NgWfSk; cs;slq;fpa

khjpup ntsp (S) I vOJf.

(ii) n(S) vt;tsT?

(iii)gpd;tUk; xt;nthU epfo;r;rpapdJk; epfo;jfitf; fhz;f.

(a) Nkirapd; kPJ 4 njhLifAwy;

(b) Nkirapd; kPJ 6 njhLifAwy;

(c) Nkirapd; kPJ Xu; ,ul;il vz; njhLifAwy;

(d) Nkirapd; kPJ Xu; Kjd;ik vz; njhLifAwy;

(e) Nkirapd; kPJ Xu; Kf;Nfhzp vz; njhLifAwy;

(f) Nkirapd; kPJ Xu; rJu vz; njhLifAwy;

xU rptg;G khgps; fpilg;gjw;fhd epfo;jfT + xU rptg;G khgps;

fpilf;fhjpUg;gjw;fhd epfo;jfT

= 7

15

8

15+ = 1


3. rPuhd xU jhaf;fl;ilapy; ,uz;L Kfq;fspy; 1 vdTk; %d;WKfq;fspy; 2 vdTk; xU Kfj;jpy; 3 vdTk; vOjg;gl;Ls;sJ. ,jidcUl;Lk;NghJ(i) fpilf;fj;jf;f rfy NgWfisAk; nfhz;l khjpup ntspia vOJf.(ii) 1> 2> 3 Mfpa vz;fspy; $ba epfo;jfitf; nfhz;l vz; ahJ?

ckJ tpiliaf; fhuzq;fSld; jUf.(iii) Xu; ,ul;il vz;izg; ngw;Wf; nfhs;Sk; vjpu;g;ghu;g;Gld;

,jid cUl;Lk;NghJ vjpu;g;ghu;j;j %yfq;fspd; vz;zpf;ifahJ?

(iv) Xu; ,ul;il vz; fpilg;gjw;fhd epfo;jfT ahJ?

4. (i) CHRISTABLE vd;w nrhy;ypd; xt;Nthu; vOj;Jk; vOjg;gl;lml;ilfs; xU ngl;bapy; cs;sd. vOkhwhf Xu; ml;iliantspNa vLf;Fk; xUtu; ngw;Wf; nfhs;sf;$ba NgWfspd; khjpupntspia vOJf.

(ii) ,t;thW ngw;w Xu; ml;ilapy; R Fwpg;gplg;gl;bUg;gjw;fhdepfo;jfitf; fhz;f.

(iii) CHRISTABLE vd;w nrhy;ypy; Mq;fpy capnuOj;J xd;iwg; ngw;Wf;nfhs;Sk; epfo;r;rp X Mapd;> n (X) ahJ?

(iv) P(X) If; fhz;f.

5. cijg;ge;jhl;lf; FO xd;wpy; Mw;wiy cila 11 Ml;lf;fhuu;fs;cs;sdu;. mtu;fspy; ehd;F Ngu; jiyf; ftrj;ij mzpe;jpUf;Fk;mNjNtis ,Utu; ifapy; ePyg; gl;bia mzpe;Jk; Ie;J Ngu;rptg;Gf; fhYiwia mzpe;Jk; cs;sdu;. ,tu;fspy; xUtu; vOkhwhfj;Nju;e;njLf;fg;gLk;NghJ mtu;>(i) jiyf;ftrk; mzpe;j xUtuhf ,Ug;gjw;fhd epfo;jfitf; fhz;f.(ii) rptg;Gf; fhYiw mzpe;j xUtuhf ,Ug;gjw;fhd epfo;jfitf;

fhz;f.(iii) ifapy; xU ePyepwg; gl;b mzpe;j xUtuhf ,Ug;gjw;fhd

epfo;jfitf; fhz;f.(iv) rptg;Gf; fhYiw mzpe;jtuhf my;yJ ifapy; ePyepwg; gl;b

mzpe;jtuhf ,Ug;gjw;fhd epfo;jfitf; fhz;f.

6. xU ngl;bapy; 12 Fkpo; Kidg; Ngidfs; cs;sd. mit mstpYk;tbtj;jpYk; xj;jdthf ,Uf;Fk; mNj Ntis mtw;wpy; 4 ePyg;NgidfSk; 3 rptg;Gg; NgidfSk; vQ;rpait fWg;Gg; NgidfSkhFk;.,g;ngl;bapypUe;J xU Ngid vOkhwhf ntspNa vLf;fg;gLfpd;wJ.(i) fpilf;fj;jf;f NgWfspd; khjpup ntspia vOJf.(ii) ePyepwg; Ngid xd;W fpilg;gjw;fhd epfo;jfitf; fhz;f.(iii) rptg;G epwg; Ngid xd;W fpilg;gjw;fhd epfo;jfitf; fhz;f.


(iv) fWg;G epwg; Ngid xd;W fpilf;fhjpUg;gjw;fhd epfo;jfitf; fhz;f

(v) ePyepwg; Ngidnahd;W fpilf;fhjpUg;gjw;fhd epfo;jfitf; fhz;f

(vi) rptg;G epwg; Ngidnahd;W fpilf;fhjpUg;gjw;fhd epfo;jfitf;

fhz;f

(vii)NkNy (ii)> (v) Mfpatw;wpy; ePu; ngw;Wf; nfhz;l tpilfspd;

$l;Lj;njhifiag; ngWf.

(viii) NkNy (iii)> (vi) Mfpatw;wpy; ePu; ngw;Wf; nfhz;l tpilfspd;

$l;Lj;njhifiag; ngWf.

(ix) ,tw;wpypUe;J ePu; fhZk; nghJj; njhlu;ig vOJf.

(x) ,j;njhlu;igg; gad;gLj;jp fWg;Gg; Ngidnahd;W fpilg;gjw;fhd

epfo;jfitg; ngWk; Kiwia vOJf.

7. vz;fsplg;gl;l xNutifahd 15 ge;Jfs; xU igapy; cs;sd.

,tw;Ws; Ie;jpy; vz; 1 ck; xd;wpy; vz; 2 ck; ,uz;by; vz; 3

ck; vQ;rpatw;wpy; vz; 4 ck; vOjg;gl;Ls;sd. ,tw;wpypUe;J

vOkhwhf xU ge;J ntspNa vLf;fg;gLfpd;wJ.

(i) mJ vz;; 1 If; nfhz;l ge;jhf ,Ug;gjw;fhd epfo;jfT ahJ?

(ii) mJ vz;; 1 If; nfhz;l ge;jhf ,y;yhjpUg;gjw;fhd epfo;jfT

ahJ?

(iii) ntspNa vLj ;j ge ;j pd ; vz; Xu ; ,ul ;il vz;zhf

,y;yhjpUg;gjw;fhd epfo;jfT ahJ?

(iv) ntspNa vLj;j ge;J xU Kf;Nfhzp vz;izf; nfhz;ljhf

,Ug;gjw;fhd epfo;jfTf;Fk; xU Kf;Nfhzp vz;izf; nfhz;ljhf

,y;yhjpUg;gjw;fhd epfo;jfTf;Fk; ,ilapyhd tpj;jpahrj;ijf; fhz;f.

8. xU ngl;bapy; xNu tbtKk; msTKila nlhgpfs; cz;L. mit

njhlu;ghd tptuk; fPNo ml;ltizapy; fhl;lg;gl;Ls;sJ.

(i) md;dhrpr; RitAilajhapUg;gjw;fhd

(ii) vYkpr;rk; gor; RitAilajhapUg;gjw;fhd

(iii) Nwh]; epwKilajhapUg;gjw;fhd

(iv) kQ;rs; epwKilajhapUg;gjw;fhd

(v) Nwh]; epwKila vYkpr;rk; gor; RitAilajhapUg;gjw;fhd

(vi) kQ;rs; epwKila md;dhrpr; RitAilajhapUg;gjw;fhd

epfo;jfitf; fhz;f.

Nwh]; epwk; 12 6

kQ;rs; epwk; 15 17

md;dhrpr; Rit vYkpr;rk; gor; Rit

ngl;bapypUe;J xU nlhgp vOkhwhf vLf;fg;gLfpd;wJ. mJ

Maths - Grade 9 - Part II - Tamil Final File G9 PII T/cha 23.pdf · 88,ytr tpepNahfj;jpw;fhf...

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Transcript of Maths - Grade 9 - Part II - Tamil Final File G9 PII T/cha 23.pdf · 88,ytr tpepNahfj;jpw;fhf...