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The area of the triangle formed by any t...

The area of the triangle formed by any tangent to the hyperbola ` x^(2) //a^(2) -y^(2) //b^(2) =1` with its asymptotes is

A

`4a^(2)b^(2) `

B

`a^(2)b^(2) `

C

`4ab`

D

`ab`

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The correct Answer is:
D
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DIPTI PUBLICATION ( AP EAMET)-Hyperbola -EXERCISE 1A
  1. The circle on the line joining the foci of the hyperbola b^(2) x^(2) ...

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

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

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

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

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

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

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

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

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

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

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

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

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  14. If alpha and beta are two points on the hyperbola x^(2)/a^(2)-y^(2)/b^...

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  15. If the axes are rotated through an angle of 45^(@) in the anticlockw...

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  16. If the circle x ^(2) +y^(2) =a^(2) intersects the hyperbola xy =c^(...

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  17. If PN is the perpendicular from a point on a rectangular hyperbola to ...

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  18. The conic represented by x^(2) -4x+ 3y -1=0 is

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  19. The conic represented by 2x^(2) -12xy +23y^(2) -4x -28y -48 =0 is

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  20. x^(2) -y^(2) +5x +8y -4=0 represents

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