Post on 05-Jan-2020
transcript
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