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For the hyperbola (x^(2))/(a^(2))+(y^(2)...

For the hyperbola `(x^(2))/(a^(2))+(y^(2))/(b^(2))=1`, the normal at point P meets the transverse axis AA' in G and the connjugate axis BB' in g and CF be perpendicular to the normal from the centre. Q. Locus of middle-point of G and g is a hyperbola of eccentricity

A

`(1)/(sqrt(e^(2)-1))`

B

`(e)/(sqrt(e^(2)-1))`

C

`2(sqrt(e^(2)-1))`

D

`(e)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
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