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If the vertex of a hyperbola bisects the...

If the vertex of a hyperbola bisects the distance between its center and the correspoinding focus, then the ratio of the square of its conjugate axis to the square of its transverse axis is (a) 2        (b)  4           (c)  6         (d)  3

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
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  2. With a given point and line as focus and directrix, a series of ell...

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

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  4. Find the equation of the hyperbola which has 3x-4y+7=0 and 4x+3y+1=0 a...

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  5. If the ellipse (x^2)/4+y^2=1 meets the ellipse x^2+(y^2)/(a^2)=1 at fo...

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  6. The equation 16 x^2-3y^2-32 x+12 y-44=0 represents a hyperbola. (a)the...

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  7. If the base of a triangle and the ratio of tangent of half of base ang...

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  8. S1, S2, are foci of an ellipse of major axis of length 10 units and P ...

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  9. Let L L ' be the latus rectum through the focus of the hyperbola (x^2)...

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  10. Find the equation of the common tangent in the first quadrant of the c...

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  11. If the normal at P(theta) on the hyperbola (x^2)/(a^2)-(y^2)/(2a^2)=1 ...

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  12. The eccentricity of the hyperbola whose length of the latus rectum is ...

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  13. Prove that in an ellipse, the perpendicular from a focus upon any tang...

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  14. Find the asymptotes of the curve xy-3y-2x=0.

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  15. With one focus of the hyperbola x^2/9-y^2/16=1 as the centre, a circle...

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  16. The equation of the passing through the of the ellipse (x^(2))/(16)+(y...

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  17. Two circles are given such that they neither intersect nor touch. Then...

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

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  19. An ellipse has O B as the semi-minor axis, Fa n dF ' as its foci...

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  20. If A ,B ,a n dC are three points on the hyperbola x y=c^2 such that A ...

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