P(x1, y1), Q(x2,y2)

(x1,y1), (x2,y2 )

AB

(x1y1) (x2, y2) (x,y)

(y1-y2)2

A

A,B,C,D

CP=|11-3|=8

x y (o, Y)

(-3,4) (0,Y)

( x,y)

x (x,o)4x - 3x 0 - 14=0

4x=14

x =14/4 = 7/2

xy

x y-

x +0-6 = 0

x = 6

x = 6, x

y x

x+2y-6 = 0

2y = 6

y = 3,y

(a) (1,3) (4,6)

(b) (-1,2)(1,6)

(c) (3,5)(-1,7)

(a) (1,3) (4,6) =

* (x,y)

x-y+2=0

x2-y + 2 = 0 y = 4

(b) (-1,2) (1,6)

* (x,y)

2x=-2

x=-1

(c) (3,5) (-1,7)

(x,y)

3+2y -13=02y =10y = 5

WORK SHEET 1

1. ABCD

A (1,3), B (4,1),C (6,4), D (3,6)

(a)

(b) AB,BC, CD, AD

(c) AC, BD

(d)

(e)

(a)

(b)

(c)

(d) x

(e) y

(f)

WORK SHEET - 2

(1) (x,3) (8,3)

(2) (3,4), (6,7) x

(3) O A

Work sheet 1(a)

(b) AB =

=

=

BC =

=

=

CD =

=

=

AD =

=

=

ANSWERS

(c) AC =

=

=

BD =

=

=

(e) ABCD AB = BC = CD = AD AC = BDABCD

(d) AC

BD =

2. (a)

(b) (x,y)

(c) x=4 4+y-7=0y=3

(4,3)

(d) x - yx+0 - 7=0, x=7

(e) y x0+y-7 = 0, y = 7

(0,7)

(f) x+y-7=0(x,y), (1,3)

WORK SHEET - 2

(1) (x,3) (8,3) X-

x

(2)

tan 45 = 1P = 45 o

(3) x AP, BQ

AOP, BOQ OA = OBAOP = BOQAOP, BOQOQ

OP = OQ = 1AP = BQB (-1, -2)

Chapter 11

30-32 5

32-34 10

34-36 15

36-38 6

38-40 4

40

Ans:

x

Answers

x

y

x

y= y= y =

y= x=

y= 38 x=

15x = 1285

x =

WORKSHEET 1

Ansers:

x

y

y ‘x’

y y y

y

y

‘x’

y y y

y= x=

y= x= 16

=14.5

(*c)

00--120 5

120- 140 11

140-160 16

160-180 x

180- 200 8

35- 37 37- 39 39- 41 41- 43 43- 45 45- 47 47- 49

2 5 8 11 14 6 4

x

x

x

x

x 20 30 40 50 60 70 80

Y 6 14 24 36 44 50 55

‘ x ’

y y y

y x

y x

x 10 20 30 40 50 60 70 80

Y 8 18 33 49 74 86 94 100

‘ x ’

y= 49 y y

y x

y x

26 4 26x4=104

27 6 27x6=162

28 7 28x7 =196

29 4 29x4=116

30 6 30x6=180

31 3 31x3= 93

Total 30 851

100-120 110 5 110x5=550

120-140 130 11 130x11=1430

140-160 150 16 150x16=2400

160-180 170 x 170X x=170x

180-200 190 8 190x8=1520

Total x+40 170x + 5900

x 37 39 41 43 45 47 49

Y 2 7 15 26 40 46 50

‘ x ’

y y y

x y

x y