Question

Points A (–1, y) and B (5, 7) lie on a circle with centre C (2, –3y). Find the radius of the circle.

Give the solution with steps
Ans:y=7,radius=root 793,y=-1,radius =5

Answer 1

1. (4,9) 3. (-15, 3)

5. Y = 1 7. No solution

9. No solution 11. No solution

13. a = 4, b = - I 15. a = 0, b = I

17. (XI, YI) + (0,0) = (XI + 0, YI + 0) = (XI' YI)

19. [(XI' YI) + (X2, Yz)] + (x3' YJ)

= (XI + X2 + X3, YI + Yz + Y3)

= (XI' YI) + [(X2, Yz) + (x3, Y3)]

21. a(b(x, Y» = a(bx, by) = (abx, aby) = ab(x, y)

23. y

• • • • ••

• • • • •• x

• •• • • •

• • • • • •

25. (a) k(l,3) + 1(2,0) = m(1, 2)

(b) k + 21 = m and 3k + 0 = 2m

(c) k = 4,1 = 1 and m = 6; i.e. 4S03 + S2 = 6S02

27. (a) d

(b) e

29. (a) c + d = (6,2)