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Tangents to the hyperbola x^(2) //a^(2)...

Tangents to the hyperbola ` x^(2) //a^(2) -y^(2)//b^(2) =1` make angle ` theta_1 , theta _2 ` with the transverse axis .if ` theta_1 , theta _2` are complementary then the locus of the point of intcrsection of the tangents is

A

`x^(2)-y^(2) =a^(2)+b^(2) `

B

` x^(2) +y^(2) =a^(2) -b^(2) `

C

` x^(2) -y^(2) =a^(2) -b^(2) `

D

NONE

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The correct Answer is:
A
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DIPTI PUBLICATION ( AP EAMET)-Hyperbola -EXERCISE 1A
  1. The locus of the point of interection of two tangents of the hyperbola...

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  2. The locus of the point of intersection of two tangents to the hyperbol...

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  3. Tangents to the hyperbola x^(2) //a^(2) -y^(2)//b^(2) =1 make angle ...

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  4. Tangents to the hyperbola x^(2)//a^(2) -y^(2)//b^(2)= 1 make angle th...

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  5. Tangents to x^(2) //a^(2) -y^(2)//b^(2) =1 make angles theta1 ,thet...

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  6. Tangents drawn from (alpha , beta ) to the hyperbola x^(2) //a^(2) ...

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  7. The locus of the point of intersection of tangents to the hyperbola x^...

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  8. A line through the origin meets the circle x^(2) +y^(2) =a^(2) at P ...

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

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  10. From any point on the hyperbola x^(2) -y^(2) =a^(2) -b^(2) two tange...

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  11. The equations to the common tangents to the two hyperbolas x^(2)//a^(2...

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  12. The equation of the common tangents drawn to the curves y^(2) =8x and...

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  13. The length of the straight line x-3y =1 intercept by the hyperbola x...

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

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  15. The equation to the pair of asymptotes of the hyperbola 2x^(2) -y^(2)...

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  16. The equations of the asymptotes of the hyperbola 4x^(2) -9y^(2) =36 a...

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  17. The angle between the asymptotes of the hyperbola x^(2) -3y^(2) =3 i...

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  18. The angles between the asymptotes of the hyperbola x^(2)//a^(2) -y^(2...

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  19. The angles between asymptotes of the hyperbola xy =c^(2) is

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  20. The asymptotes of a rectangular hyperbola intersect at an angle

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