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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.(1992)
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.(1992)
CBSE | Class 10 | Exercise 1 | maths | ML Aggarwal | Section Formula
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.(1992)

Solution:

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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