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.
Deepak BoraNewbie
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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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).