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If the roots of the equation (x(1)^(2)-...

If the roots of the equation `(x_(1)^(2)-a^(2))m^(2)-2x_(1)y_(1)m+y_(1)^(2)+b^(2)=0` are the slopes of two perpendicular lines intersecting at `P(x_(1), y_(1))` then the locus of P is

A

`x^(2)+y^(2)=a^(2)+b^(2)`

B

`x^(2)+y^(2)=a^(2)-b^(2)`

C

`x^(2)-y^(2)=a^(2)+b^(2)`

D

`x^(2)-y^(2)=a^(2)-b^(2)`

Text Solution

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The correct Answer is:
B
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