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If P N is the perpendicular from a point...

If `P N` is the perpendicular from a point on a rectangular hyperbola `x y=c^2` to its asymptotes, then find the locus of the midpoint of `P N`

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
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  2. Pa n dQ are the foci of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 and B is...

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  3. If P N is the perpendicular from a point on a rectangular hyperbola x ...

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  4. A line of fixed length a+b moves so that its ends are always on two fi...

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  5. The equation of the transvers and conjugate axes of a hyperbola are, ...

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  6. With a given point and line as focus and directrix, a series of ell...

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

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

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

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  11. If base of triangle and ratio of tangents of half of the base angles a...

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

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

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

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  15. If the normal at p(theta) on the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^...

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  16. The eccentricity of the hyperbola whose latus rectum is 8 and conjugat...

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

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

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

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

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