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A tangent drawn to hyperbola x^2/a^2-y^2...

A tangent drawn to hyperbola `x^2/a^2-y^2/b^2 = 1` at `P(pi/6)` froms a triangle of area `3a^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 ENGLISH-CONIC SECTIONS-All Questions
  1. The curve for which the length of the normal is equal to the length...

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  2. The locus of the point of intersection of the tangent at the endpoints...

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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. The normal at a variable point P on the ellipse (x^2)/(a^2)+(y^2)/(b^2...

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  5. If the distance between the foci and the distance between the two d...

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  6. Any ordinate M P of the ellipse (x^2)/(25)+(y^2)/9=1 meets the auxilia...

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  7. 1. If the distance between two parallel tangents drawn to the hyperbol...

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  8. The number of distinct normal lines that can be drawn to the ellipse (...

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  9. A normal is drawn to the hyperbolas (y-x m)(m y+x)=a^2 and (m^2-1)(y^2...

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  10. An ellipse has point (1,-1)a n d(2,-1) as its foci and x+y-5=0 as one ...

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  11. The equation of the transvers axis of the hyperbola (x-3)^2+(y+1)^2=(4...

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  12. Find the values of a for which three distinct chords drawn from (a ,0...

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  13. If a variable line has its intercepts on the coordinate axes ea n de^(...

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  14. Prove that if any tangent to the ellipse is cut by the tangents at the...

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  15. A straight line has its extremities on two fixed straight lines and ...

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  16. A circle has the same center as an ellipse and passes through the foci...

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  17. The length of the transverse axis of the rectangular hyperbola x y=18 ...

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  18. If P is any point on ellipse with foci S1 & S2 and eccentricity is 1/...

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  19. The locus of the point which is such that the chord of contact of t...

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  20. Find the range of eccentricity of the ellipse x^2/a^2+y^2/b^2=1, (wher...

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