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If the equation of the locus of a point ...

If the equation of the locus of a point equidistant from the points `(a_(1), b_(1))` and `(a_(2), b_(2))` is :
`(a_(1)-a_(2))x+(b_(1)-b_(2))y+c=0`, then c =

A

`a_(1)^(2)-a_(2)^(2)+b_(1)^(2)-b_(2)^(2)`

B

`(1)/(2)(a_(1)^(2)+a_(2)^(2)+b_(1)^(2)+b_(2)^(2))`

C

`sqrt(a_(1)^(2)+b_(1)^(2)-a_(2)^(2)-b_(2)^(2))`

D

`(1)/(2) (a_(2)^(2)+b_(2)^(2)-a_(1)^(2)-b_(1)^(2))`

Text Solution

Verified by Experts

The correct Answer is:
D
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