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The product of perpendicular drawn from ...

The product of perpendicular drawn from any points on a hyperbola `(x^2)/(a^2)-(y^2)/(b^2)=1` to its asymptotes is

A

`(ab)/((sqrt(a)+sqrt(b))`

B

`(ab)/(a^2+b^2)`

C

`(a^2b^2)/(a^2+b^2)`

D

`(a^2+b^2)/(ab)`

Text Solution

Verified by Experts

The correct Answer is:
C
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VMC MODULES ENGLISH-CONIC SECTIONS-LEVEL - 1
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  3. The product of perpendicular drawn from any points on a hyperbola (x^2...

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  4. The locus of the point of intersection of the tangents at the ends of ...

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  5. If the curves (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 (agtb) and x^(2)-y(2)=...

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  7. Which of the following equations in parametric form can represent a hy...

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  8. The distance of the origin from the normal drawn at the point (1,-1) o...

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  9. Tangent is drawn at the point (-1,1) on the hyperbola 3x^2-4y^2+1=0. T...

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  10. Let LL1 be a latusrectum of a hyperbola and S1 is the other focus. If ...

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  11. If a latus rectum of an ellipse subtends a right angle at the centre o...

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  12. I the latus rectum through one focus of a hyperbola subtends a right ...

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  13. The transverse axis of the hyperbola 5x^2-4y^2-30x-8y+121=0 is

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  14. If the pair of lines b^2x^2-a^2y^2=0 are inclined at an angle theta, t...

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  16. If the tangent at point P(h, k) on the hyperbola (x^(2))/(a^(2))-(y^(2...

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  17. If the tangents drawn from a point on the hyperbola x^2-y^2=a^2-b^2 to...

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  18. The locus of a point from which two tangent are drawn to x^2-y^2=a^2 w...

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  19. Let a and b be bonzero real numbers. Then the equation (ax^(2)+by^(2)+...

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