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From any point to the hyperbola `^2/a^2-y^2/b^2=1`, tangents are drawn to thehyperbola `x^2/a^2-y^2/b^2=2` The area cut off bythe chord of contact on the regionbetween the asymptotes is equal to

A

`ab//2`

B

`ab`

C

`2ab`

D

`4ab`

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Verified by Experts

The correct Answer is:
D
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FIITJEE-HYPERBOLA-ASSIGNMENT PROBLEMS ( OBJECTIVE) Level - I
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  4. If the foci of the ellipse x^(2)/16 + y^(2)/b^(2) =1 and the hyperbo...

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  5. Let P(a sectheta, btantheta) and Q(aseccphi , btanphi) (where theta+...

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  6. Let P(a sectheta, btantheta) and Q(aseccphi , btanphi) (where theta+...

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  7. A tangent to the parabola x^(2) = 4ay meets the hyperbola x^(2) - y^(2...

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  8. The focus of the rectangular hyperbola (x + 4) (y-4) = 16 is

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  9. If the hyperbola xy = c^(2) touches the curve x^(2) + 2y^(2) + alpha x...

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  10. The line y = 4x + c touches the hyperbola x^(2) - y^(2) = 1 if

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  11. Consider the hyperbola x^(2)/a^(2) - y^(2)/b^(2) = 1. Area of the tria...

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  12. Number of point (s) outside the hyperbola x^(2)/25 - y^(2)/36 = 1 from...

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  13. If e is the eccentricity of x^2/a^2-y^2/b^2=1 and theta be the angle b...

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  14. A hyperbola, having the transverse axis of length 2 sin theta, is conf...

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  15. If the tangent and the normal to a rectangular hyperbola xy = c^(2) , ...

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  16. From a point on the line y=x+c, c(parameter), tangents are drawn to th...

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  17. Locus of the points of intersection of perpendicular tangents to x^(2)...

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  18. The angle between tangents drawn to the curve xy = 4 from the point (1...

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  19. The product of perpendiculars drawn from any point on a hyperbola to i...

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  20. A normal to the hyperbola x^2-4y^2=4 meets the x and y axes at A and B...

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