CO-ORDINATE GEOMETRY
CO-ORDINATE GEOMETRY
CO-ORDINATE GEOMETRY
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8. The distance between the points (a, 0) and (0, a) is equal to the distance between the<br />
points (1, 2) and (1, 3). Find the possible values of a.<br />
{Hint: using the distance formula, the distance between (a, 0) and (0, a) is<br />
2<br />
2<br />
( 0 ) + ( aawhich 0) equals<br />
2<br />
2a<br />
etc.}<br />
9. By rearranging the following straight line formulas into the form y = mx + c (if<br />
needed) find the gradients and intercepts of the lines.<br />
a) y = 3x + 1. b) y = 4x 1. c) y = 3 + 2x.<br />
d) y = 2 3x. e) y + 3x = 1. f) y 4x = 3.<br />
g) 2x + y = 7. h) 2y = 2 + 6x. i) 3y + 9x = 12.<br />
j) 2y 8 = 2x. k) y x + 2 = 0. l) y + 4x 1 = 0.<br />
m) 2y = 6 + 3x. n) 2y = 2 5x. o) 3y + 2x = 9.<br />
p) 3y 3x = 6. q) 7 = 2x y. r) 6x = 2 2y.<br />
s) y = x + 2. t) y = 2 3x. u) 2y = 4 x.<br />
v) 2x + y = 0. w) 6x 3y = 9. x) 7x + 3y = 9.<br />
y) x + 2y + 7 = 0. z) y = 7.<br />
10. 8 points have co-ordinates as follows.<br />
A(3, 4) B(6, 10) C(8, 3) D(6, 2) E(0, 5)<br />
F(4, 7) G(1, 4) H(4, 2).<br />
11<br />
y<br />
10<br />
B<br />
9<br />
8<br />
7<br />
6<br />
5<br />
H<br />
4<br />
3<br />
2<br />
A<br />
C<br />
1<br />
0<br />
-5 -4 -3 -2 -1 0<br />
-1<br />
1 2 3 4 5 6 7 8<br />
x<br />
9<br />
-2<br />
D<br />
G<br />
-3<br />
-4<br />
-5<br />
E<br />
F<br />
-6<br />
-7<br />
-8<br />
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