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A tangent drawn to hyperbola (x^(2))/( ...

A tangent drawn to hyperbola ` (x^(2))/( a^(2)) -(y^(2))/( b^(2)) =1 ` at `P((pi )/( 6))` forms a triangle of area `3a^(2) ` square units , with coordinates axes, then the square of its eccentricity is

A

15

B

24

C

17

D

14

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The correct Answer is:
C
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AAKASH SERIES-REVISION EXERCISE -HYPERBOLA
  1. A = (1,2) , B= ( 6,-10 ) locus of P such that PA- PB =13 is

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  2. s= 0 is a hyperbola , if s+ k =0 (k is a real number ) represents eq...

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  3. If the distances between two parallel tangents drawn to the hyperbola ...

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  4. A tangent drawn to hyperbola (x^(2))/( a^(2)) -(y^(2))/( b^(2)) =1 a...

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  5. The sides AC and AB of a Delta ABC touch the conjugate hyperbola of ...

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  6. If values of m for which the line y= mx +2 sqrt5 touches the hyperbola...

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  7. If a ray of light incident along the line 3x+ (5-4 sqrt2 ) y= 15 get...

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  8. Statement I: Asymptotes of hyperbola 3x+4y =2 and 4x-3y =5 are bisecto...

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  9. If S1 and S2 are the foci of the hyperbola whose transverse axis le...

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  10. Statement 1 : Ellipse (x^(2))/( 25) + ( y^(2))/( 16) =1 and 12x^(2)...

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  11. Statement 1: If a circle S = 0 intersects a hyperbola xy =4 at four p...

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  12. Statement 1: Equation of tangents to the hyperbola 2x^(2) -3y^(2) =6 ...

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  13. Statement 1 : There are infinite points from which two mutually perpen...

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  14. If x= 9 is a chord of contact of the hyperbola x^(2) -y^(2) =9, then ...

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  15. Statement 1 : If (3,4) is point on a hyperbola having focus (3,0 ) a...

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  16. A tangent to the hyperbola (x^(2))/( 4) -(y^(2))/( 2) =1 meets x-axis...

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  17. A common tangent to the conic x^(2) = 6y and 2x^(2) -4y^(2) =9 is

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  18. If P( 3 sec theta, 2 tan theta ) and Q( 3sec phi, 2 tan phi ) " wher...

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  19. A common tangent to x^(2)-2y^(2) =18 and x^(2)+ y^(2) =9 is

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  20. The tangents at an extremity (in the first quadrant ) of latus rectum...

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