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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

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The correct Answer is:
B
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ARIHANT MATHS-HYPERBOLA-Exercise (Questions Asked In Previous 13 Years Exam)
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  7. Consider a branch of the hypebola x^2-2y^2-2sqrt2x-4sqrt2y-6=0 with ve...

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  8. An ellipse intersects the hyperbola 2x^(2)-2y^(2)=1 orthogonally. The ...

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  10. The circle x^2+y^2-8x=0 and hyperbola x^2/9-y^2/4=1 intersect at the...

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  11. The line 2x + y = 1 is tangent to the hyperbola x^2/a^2-y^2/b^2=1. I...

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  12. Let P(6,3) be a point on the hyperbola parabola x^2/a^2-y^2/b^2=1If t...

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  13. let the eccentricity of the hyperbola x^2/a^2-y^2/b^2=1 be reciprocal ...

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  14. Tangents are drawn to the hyperbola x^2/9-y^2/4=1 parallet to the srai...

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  15. Consider the hyperbola H:x^2-y^2=1 and a circle S with centre N(x2,0) ...

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  16. The eccentricity of the hyperbola whose latuscrectum is 8 and conjugat...

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  17. A hyperbola passes through the point P(sqrt(2),sqrt(3)) and has foci a...

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