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A tangent drawn to hyperbola `x^2/a^2-y^2/b^2 = 1` at `P(pi/6)` froms a triangle of area `a^2` square units, with the coordinate axes, then the square of its eccentricity is (A) `15` (B) `24` (C) `17` (D) `14`

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. If the foci of (x^2)/(a^2)-(y^2)/(b^2)=1 coincide with the foci of (x^...

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  2. The locus of a point whose chord of contact with respect to the circle...

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  3. A tangent drawn to hyperbola x^2/a^2-y^2/b^2 = 1 at P(pi/6) froms a t...

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  4. lf the eccentricity of the hyperbola x^2 - y^2 sec^2 alpha=5 is sqrt3...

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  5. If L is the length of the latus rectum of the hyperbola for which x = ...

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  6. If the chord x cos theta alpha+y sin alpha=p of the hyperbola (x^(2))...

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  7. If the vertex of a hyperbola bisects the distance between its center ...

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  8. If the distance between two parallel tangents drawn to the hyperbola (...

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  9. The area of triangle formed by the tangents from the point (3, 2) to t...

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  10. If a variable line has its intercepts on the coordinate axes e and e^(...

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  11. If tangents drawn from the point (a, 2) to the hyperbola (x^(2))/(16)-...

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  12. If the hyperbola x^(2)-y^(2)=4 is rotated by 45^(@) in the anticlockwi...

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  13. The coordinates of a point on the hyperbola (x^2)/(24)-(y^2)/(18)=1 wh...

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  14. If the angle between the asymptotes of hyperbola (x^2)/(a^2)-(y^2)/(b^...

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  15. The sides AC and AB of a DeltaABC touch the conjugate hyperbola of the...

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  16. The tangent at a point P on the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 pa...

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  17. If a x+b y=1 is tangent to the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 , t...

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  18. The locus of a point whose chord of contact with respect to the circle...

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  19. The locus of the feet of the perpendiculars drawn from either focus on...

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  20. If the line 2x+sqrt6y=2 touches the hyperbola x^2-2y^2=4, then the po...

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