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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 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_1^2+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+b_2^2-a_2^2-b_2^2)`

Text Solution

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The correct Answer is:
A
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