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The coordinates of the focus of an ellip...

The coordinates of the focus of an ellipse are (1,2) and eccentricity is `(1)/(2)` , the equation of its directrix is 3x + 4y - 5 = 0 . Find the equation of the ellipse.

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PATHFINDER-PARABOLA, ELLIPSE AND HYPERBOLA-QUESTION BANK
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  2. Find the equation to the ausiliary circle of the ellipse 4x^(2) +9...

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  3. The coordinates of the focus of an ellipse are (1,2) and eccentricity...

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  4. Find the length of the latus rectum, eccentricity, coordinates of cent...

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  5. Find the equation of the ellipse whose vertices are (-3,5) and (9,5) a...

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  6. A line segment of length (a+b) units moves on a plane in such a way th...

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  7. Find the eccentricity and equations of the directrices of the ellips...

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  8. If the chord joining the points P(theta)' and 'Q(phi)' of the ellipse ...

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  9. P and Q be the extremities of the two conjugate diameters of the ellip...

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  10. The length of latus rectum of the hyperabola 9y^(2) - 4x^(2) = 36 is -

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  11. If the latus rectum of a hyperbola is equal to half of its transverse ...

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  12. The centre of the hyperbola 9x^2-16y^2-18x+64y-199=0 is

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

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

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

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

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

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

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

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

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