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Question

C is the mid-point of PQ. If P is (4, x), C is (y, -1) and Q is (-2, 4), then x and y respectively are ___________.
  1. - 6 and 1
  2. -6 and 2
  3. 6 and -1
  4. 6 and -2


Solution

The correct option is A - 6 and 1
Given points are P(4, x), Q(-2, 4) and mid-point is C(y-1)
 Mid point (x, y) of the line joining the points (x1,y1) and  (x2,y2) is x = (x2+x12) and y = (y2+y12)
422=y  and  4+x2=1
y=1 and x=6
 

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