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Find the product of lengths of the perpe...

Find the product of lengths of the perpendiculars from any point on the hyperbola `(x^(2))/(16)-(y^(2))/(9)=1` to its asymptotes.

A

` 144//25`

B

`25//144`

C

` 140 //25`

D

none

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The correct Answer is:
A
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DIPTI PUBLICATION ( AP EAMET)-Hyperbola -EXERCISE 1A
  1. The product of the perpendicular from any point on the hyperbola x^(2)...

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  2. The product of the perpendicular from the foci on any tangent to the h...

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  3. Find the product of lengths of the perpendiculars from any point on th...

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  4. The product of lengths of the perpendiculars from the point of the hyp...

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  5. The product of lenghts of perpendicular from any point on the hyperbol...

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  6. From any point on the hyperbola x^(2)//a^(2) -y^(2) //b^(2) =1 tange...

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  7. P is a point on x^(2)//a^(2) -y^(2)//b^(2) =1 and A2 A' are the ver...

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  8. The circle on the line joining the foci of the hyperbola b^(2) x^(2) ...

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  9. The point of intersection of the asymptotes with the directrices lie o...

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  10. The area of the triangle formed by any tangent to the hyperbola x^(2)...

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  11. The area (in square units) of the equilateral triangle formed by the t...

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  12. The equation of the tangents to the hyperbola (x^(2))/( 9) -( y^(2))/...

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  13. The equation of the normal to the hyperbola (x^(2))/(25) -(y^(2))/(9)...

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  14. The foot of the normal 3x+ 4y =7 to the hyperbola 4x^(2) -3y^(2)=1 i...

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  15. The maximum number of normals to hyperbola x^(2)/a^(2)-y^(2)/b^(2)=1 f...

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  16. The equation of the normal at the positive end of the latus rectum of ...

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  17. Let A (2sec theta, 3 tan theta ) and B( 2sec phi ,3 tan phi ) where t...

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  18. P(theta ) and Q( phi ) are two point on x^(2)//a^(2) -y^(2)//b^(2) =...

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  19. A normal to the hyperbola x^(2)//a^(2) -y^(2)//b^(2) =1 cuts the axes...

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  20. If the normal at theta on the hyperbola x^(2)//a^(2) -y^(2) //b^(2)...

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