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If the equation of the locus of a point equi-distant 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 the value of c is

A

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

B

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

C

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

D

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

Text Solution

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The correct Answer is:
A
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