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Deepak Bora
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The co-ordinates of the mid-point of the line segment PQ are (1, – 2). The co-ordinates of P are ( – 3, 2). Find the co-ordinates of Q.

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This question is Based on Section Formula Chapter of M.L Aggarwal book for ICSE BOARD for class 10.
Here the co-ordinates of the mid-point of a line segment is given, for that co-ordinate of one point is given and you have to find co-ordinate for another point of that line segment.
This is the Question Number 11, Exercise 11 of M.L Aggarwal.

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1 Answer

  1. Let the co-ordinates of Q be (x2, y2).

    Given co-ordinates of P = (-3,2)

    Co-ordinates of midpoint = (1,-2)

    Here x1 = -3, y1 = 2 , x = 1 , y = -2

    By Midpoint formula,

    x = (x1+x2)/2

    1 = (-3+x2)/2

    2 = -3+x2

    x2 = 2+3 = 5

    By Midpoint formula,

    y = (y1+y2)/2

    -2 = (2+y2)/2

    -4 = 2+y2

    y2 = -4-2

    y2 = -6

    Hence the co-ordinates of Q are (5,-6).

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