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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

`sqrt(a_1^2+b_1^2-a_2^2-b_2^2)`

B

`1/2(a_2^2+b_2^2-a_1^2-b_1^2)`

C

`a_1^2+a_2^2+b_1^2+b_2^2`

D

`1/2(a_2^2+a_1^2+b_1^2+b_2^2)`

Text Solution

Verified by Experts

The correct Answer is:
B
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