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A normal to the hyperbola (x^2)/(a^2)-(y...

A normal to the hyperbola `(x^2)/(a^2)-(y^2)/(b^2)=1` meets the axes at `Ma n dN` and lines `M P` and `N P` are drawn perpendicular to the axes meeting at `Pdot` Prove that the locus of `P` is the hyperbola `a^2x^2-b^2y^2=(a^2+b^2)dot`

A

e' is eccentricity of conjugate of `(x^(2))/(a^(2)) -(y^(2))/(b^(2)) =1`

B

`(1)/(e^(2)) + (1)/(e^(2)) =1`

C

`e^(2) + e'^(2) =3`

D

`e^(2) + e'^(2) =4`

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A, B
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