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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

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

B

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

C

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

D

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

Text Solution

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The correct Answer is:
D
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