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If the distance between the directrices ...

If the distance between the directrices is thrice the distance between the foci, then find eccentricity of the ellipse.

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If (distance between directrices ) = 3 (distance between foci) , then e =

Distance between foci = 10 and eccentricity = 3/2

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In an ellipse, the distance between its directrices is four times the distance between its foci. If (-2, 0) is one of its vertices, then the equation of the ellipse is

If the length of the minor axis of an ellipse is equal to half of the distance between the foci then the eccentricity of the ellipse is

Find the length of the latus rectum of the ellipse if the eccentricity is (1)/(2) and the distance between the foci and the centre of the ellipseis 4.

e = 3/2 and distance between directrices = 8/3

If the distance between the foci of an ellipse is half the length of its latus rectum,then the eccentricity of the ellipse is

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Distance between foci is 6 and eccentricity is 3/5

ARIHANT MATHS-ELLIPSE-Exercise (Questions Asked In Previous 13 Years Exam)
  1. If the distance between the directrices is thrice the distance between...

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  2. The muinimum area of the triangle formed by the tangent to (x^(2))/(a...

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  3. Find the equation of the common tangent in the 1st quadrant to the cir...

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

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  5. In an ellipse, the distances between its foci is 6 and minor axis is 8...

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  6. Let P(x1, y1) and Q(x2, y2), y1 < 0, y2 < 0, be the end points of the...

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  7. A focus of an ellipse is at the origin. The directrix is the line x =4...

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  8. The line passing through the extremity A of the major exis and extremi...

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  9. The normal at a point P on the ellipse x^2+4y^2=16 meets the x-axis at...

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  10. a triangle A B C with fixed base B C , the vertex A moves such that co...

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  11. The conic having parametric representation x=sqrt3((1-t^(2)/(1+t^(2)))...

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  12. The ellipse x^2+""4y^2=""4 is inscribed in a rectangle aligned with...

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  13. Tangents are drawn from the point P(3,4) to the ellipse x^(2)/9+y^(2)/...

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  14. Tangents are drawn from the point P(3,4) to the ellipse x^(2)/9+y^(2)/...

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  15. Tangents are drawn from the point P(3,4) to the ellipse (x^2)/(9)+(y^2...

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  16. Equation of the ellipse whose axes are the axes of coordinates and ...

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  17. The ellipse E1:(x^2)/9+(y^2)/4=1 is inscribed in a rectangle R whose s...

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  18. Statement 1: An equation of a common tangent to the parabola y^2=16...

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  19. An ellipse is drawn by taking a diameter of the circle (x""""1)^2+""y^...

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  20. the equation of the circle passing through the foci of the ellip...

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  21. A vertical line passing through the point (h, 0) intersects the ellips...

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