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The equations of the tangents to the hyp...

The equations of the tangents to the hyperbola ` 4x^(2) -5y^(2) =20 ` which make an angle ` 60 ^(@) ` with the transverse axis are

A

`y=sqrt5x+-sqrt(21)`

B

` y=sqrt5x+-sqrt(11)`

C

` y=sqrt( 7)x +-sqrt(21)`

D

`y=sqrt3x+-sqrt(11)`

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The correct Answer is:
D
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DIPTI PUBLICATION ( AP EAMET)-Hyperbola -EXERCISE 1A
  1. The equations of the tangents to the hyperbola 9x^(2) -16y^(2) =144 ...

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  2. The equations of the tangents to the hyperbola 3x^(2) -4y^(2) =12 whi...

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  3. The equations of the tangents to the hyperbola 4x^(2) -5y^(2) =20 wh...

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  4. Equation of one of the tangents passing through (2, 8) to the hyperbol...

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  5. The point of contact of 5x+6y+1=0 to the hyperbola 2x^(2)-3y^(2)=2 is

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  6. The number of tangents to x^(2)//9 -y^(2) //4=1 through (6,2) is

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  7. If m1,m2 are slopes of the tangents to the hyperbola x^(2) //25 -y^...

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  8. The equations of the direcrtor cirlce of x^(2) //12 -y^(2)//8=1 is

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  9. The equations of the auxiliary circle of x^(2) //16-y^(2) //25 =1 is

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  10. The radius of the auxiliary circle of the hyperbola x^(2)//25-y^(2) /...

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  11. The tangents at a point P on x^(2)//a^(2) -y^(2)//b^(2) =1 cuts one ...

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  12. The locus of the point of interection of two tangents of the hyperbola...

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  13. The locus of the point of interection of two tangents of the hyperbola...

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

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

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

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

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

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

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

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