Mathematics-Basic

Q.3: If (3, – 6) is the mid-point of the line segment joining (0, 0) and (x, y), then the point (x, y) is
(A) (– 3, 6)
(B) (6, – 6)
(C) (6, –12)
(D) (3/2, -3)

Answer:
(C) (6, –12)

Co-ordinate of midpoint = ((x1+x2)/2 , (y1+y2)/2)
(0+x)/2 = 3
=> x=6

(0+y)/2=-6
=> y=-12

So (x, y) = (6, –12)


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