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Study Stuff for MCA Examinations

If S and S' are foci of the ellipse , B is the end of the minor axis and BSS' is an equilateral triangle, then the eccentricity of the ellipse is

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Equation of the tangent from the point (3,−1) to the ellipse 2x^{2} + 9y^{2} = 3 is

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The eccentricity of an ellipse, with its center
at the origin is $\frac{1}{3}$
. If one of the directrices is
$x=9$, then the equation of ellipse is:

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The locus of the point of intersection of tangents to the ellipse $\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$ which meet right angles is

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The eccentric angle of the extremities of latus-rectum of the ellipse $\frac{{x}^2}{{a}^2}^{}+\frac{{y}^2}{{b}^2}^{}=1$ are given by

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The tangent to an ellipse x^{2} + 16y^{2} = 16 and making angel 60° with X-axis is:

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