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The product of the perpendicular from an...

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

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-Hyperbola -EXERCISE 1A
  1. The assymptotes of the hyperbola are parallel to 3x+2y=0, 2x+3y=0 whos...

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

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  3. The product of the perpendicular from any point on the hyperbola x^(2)...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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