If the roots of (1)/(x+a)+ (1)/(x+b)= (1...

If the roots of `(1)/(x+a)+ (1)/(x+b)= (1)/(c)` are equal in magnitude and opposite in sign, then the product of roots is

A

`a^(2)+b^(2)`

B

`-(a^(2)+b^(2))`

C

`(1)/(2)(a^(2)+b^(2))`

D

`-(1)/(2)(a^(2)+b^(2))`

Verified by Experts

The correct Answer is:

D

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