# Find the equation to the straight line which bisects the distance between the points (a, b), (a', b') and also bisects the distance between the points (-a, b) and (a', - b').

Given: points be A (a, b), B(a’, b’),C(-a, b) and D(a’, -b’)

Assuming:

P and Q be the mid points of AB and CD, respectively.

P

Q

Explanation:

The equation of the line passing through P and Q is

Formula used:

2ay - 2b’x = ab – a’b’

Hence, the equation of the required straight line is 2ay - 2b’x = ab – a’b’

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