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Find the equation of the hyperbola, whos...

Find the equation of the hyperbola, whose axes are axes of coordinates and
transverse axis is 2a and the vertex bisects the line segment joining the centre and focus.

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PATHFINDER-PARABOLA, ELLIPSE AND HYPERBOLA-QUESTION BANK
  1. The centre of the hyperbola 9x^2-16y^2-18x+64y-199=0 is

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  2. If foci of the ellipse (x^(2))/(16) + (y^(2))/(b^(2)) = 1 coincide wit...

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  3. The eccentricity of the hyperbola x^2-y^2=4 is

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  4. Find the equation to the locus represented by the parametric equation...

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  5. The equation of the auxiliary circle of the hyperbola x^2/a^2-y^2/b^2=...

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  6. The eccentricity of the curve 9x^2-25y^2=225 is

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  7. The foci of the hyperbola 4x^2-9y^2=36 is

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  8. If the length of conjugate axis and the length of latus rectum of a hy...

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  9. The equations of directrices of hyperbola 4x^2-9y^2-16x-54y-101=0 are

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  10. Find the equation of the hyperbola whose eccentricity is 3, focus is...

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  11. Show that the difference of the distances from each focus of any point...

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  12. Show that the eccentricities of the hyperbolas x^2/16-y^2/9=1 and x^2/...

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  13. Find the equation of the hyperbola, whose axes are axes of coordinates...

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  14. Find the equation of the hyperbola whose vertices are (+-4,0) and foci...

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  15. Show that 3x^2-3y^2-18x+12y+2=0 represents a rectangular hyperbola. Fi...

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  16. In a rectangular hyperbola x^2-y^2=a^2, prove that SP.S'P=CP^2, wher...

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  17. If e1 and e2 be the eccentricities of a hyperbola and its conjugate, s...

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  18. Find the equation of the hyperbola, whose axes are axes of coordinates...

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  19. The length of the intercepts on the x and y-axes of a circle are 2a an...

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  20. If the chord joining the points (asectheta, btantheta)and (asecphi, bt...

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