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The point of intersection of two tangent...

The point of intersection of two tangents to hyperbola `x^(2)/a^(2)-y^(2)/b^(2)=1` the product of whose slopes is `c^2?,` lies on the curve

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
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AAKASH SERIES-HYPERBOLA-Practice Exercise
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  5. The chords of contact al P.w.r.t. x^(2)-y^(2)=a^2 and x^(2)+y^(2)=a^(2...

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  6. The equation to the common tangent to the hyperbolas (x^(2))/(25)-y^(2...

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  10. The equation of the tangent to the hyperola x^(2)/9-y^(2)/4=1 at the p...

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  11. Equation of normal to x^(2)-4y^(2)=5 at theta=45^(@) is

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  12. The equation of asymptotes of the hyperbola 4x^(2)-9y^(2)=36 is

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  13. The equation to the pair of asymptotes of the hyperola 2x^(2)-y^(2)=1 ...

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  14. Show that product of lengths of the perpendicular from any point on th...

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  15. The equation of one asymptote of the hyperbola 14x^(2)+38y+20y^(2)+x-7...

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  16. The equation of the hyperbola is xy-4x+3y=0 and its asymptotes are xy-...

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  17. The equation of the hyperbola whose asymptotes are 3x+4y-2=0, 2x+y+1=0...

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  18. No part of the hyperbola x^(2)/(a^(2))-y^(2)/b^(2)=1. Lies between whi...

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