Ellipse

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An ellipse sliding along coordinate axes.If the foci of ellipse are (1,1) and (3,3) .Then which of the following is/are correct? Radius of director circle of ellipse is 2sqrt(2) Length of major axis of ellipse is 2sqrt(5) Length of minor axis of ellipse is sqrt(3) Length of major axis of ellipse is

An ellipse intersects the hyperbola 2x^2-2y =1 orthogonally. The eccentricity of the ellipse is reciprocal to that of the hyperbola. If the axes of the ellipse are along the coordinate axes, then (b) the foci of ellipse are (+-1, 0) (a) equation of ellipse is x^2+ 2y^2 =2 (d) the foci of ellipse are (t 2, 0) (c) equation of ellipse is (x^2 2y)

MODERN PUBLICATION-CONIC SECTIONS -OBJECTIVE TYPE QUESTIONS (VERY SHORT ANSWER TYPE QUESTIONS)
  1. Parabola

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  2. Ellipse

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  3. Hyperbola

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  4. Define eccentricity of an ellipse

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  5. Determine whether the following represents a circle , a point or no ci...

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  6. Find the equation of circle whose centre is (1/2, 1/2) and radius is 1...

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  7. Find the parametric equation of the circles : x^2 + y^2 + 2x - 4y - 1 ...

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  8. Show that the point (x, y), where x=a+r cos theta, y = b + r sin theta...

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  9. Find the equation of the circle when the end points of a diameter of t...

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  10. The equation of the parabola with vertex at the origin passing through...

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  11. Find the equation of the parabola with focus at (3, -4) and directrix ...

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  12. Find the lengths of major and minor axes of the ellipse : (x^(2))/(4...

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  13. Find the lengths of the major and the minor axes, the coordinates of t...

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  14. Find the length of the latus -rectum of the ellipse : (x^(2))/(4) + ...

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  15. The equation of the ellipse whose centre is at origin and which passes...

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  16. Find the equation of the ellipse in the following case: eccentricity e...

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  17. Find the eccentricity of an ellipse if its latus rectum is equal to on...

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  18. The eccentricity of the ellipse if the distance between the foc...

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  19. Find the equation of the ellipse whose major axis is 8 and eccentricit...

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  20. Find the equation of the hyperbola having : vertices (0, +-3) and foci...

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