The document provides instructions to find the coordinates of points on curves defined by algebraic equations. It gives examples of finding the coordinates A, B, C of curves defined by equations like (x-3)(x+2) and (x-5)(x+4). It also asks to find the coordinates A, B, C, D of the curve defined by the equation y=(x^2)(1)(6)-(x) and coordinates A, B of the curve defined by y=(x^3)(4)-(x).

1. Objectives
To find the coordinates of the
curve using graph

2. 0
A
B C
Y
X-X
-Y

3. Q2) Find the co ordinates A,B,C
Factorise :
( -3) ( -2)
When y=0 ,( -3) ( -2) =0
=3 , =2
When =0, y = 0-0+6= 6
652
+−= xxy
x x
x x
x x
x

4. Equation of a straight line is y= mx+c
m is the gradient , m=
m=
c is the y-intercept = 6
Equation is y= -2x+6
12
12
xx
yy
−
−
2
3
6
03
60
−=
−
=
−
−

5. 0
A
B
Y
X-X
-Y

6. Explanation: Factorise
( -3) ( +2)
When y=0 , ( -3) ( +2) =0
=0 , =3 , =-2
(0,0)(3,0)(-2,0)
When =0, y = 0(0-3)(0+2)= 0
A=(-2,0); B=(3,0)
xxxy 623
−−=
x x
x x
x x
x
x
x

7. Equation of the given graph is
Find the values of p and q
-----1
=-5 =4
+5=0 -4=0
( +5)( -4)=0
------2
Comparing the coefficients in 1 &2
p=-1,q=-20
qxpxxy ++= 23
(-5,0) (4,0)
x x
xx
xx
0202
=−− xx
)( 2
23
qpxxx
qxpxxy
++=
++=

8. Your turn…..
Find the coordinates A,B,C,D of the curve
)2)(1)(6( +−−= xxxy
A
B
C D

9. 0
A
B
Y
X-X
-Y
Try one more question: The graph of is
Given below
Find A & B
)3)(4( +−= xxxy

10. 0
A
B
Y
X-X
-Y
Try one more question: The graph of is
Given below
Find A & B
)3)(4( +−= xxxy