The Eccentricity Of The Ellipse, If The Distance Between The Foci Is Equal To The Length Of The Latusrectum, Is

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Question

The eccentricity of the ellipse, if the distance between the foci is equal to the length of the latusrectum, is

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Solution

Correct option is

We have,

.

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SIMILAR QUESTIONS

Q1

The curve represented by

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Q2

Length of the major axis of the ellipse , is

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Q3

The length of the axes of the conic 9x² + 4y² – 6x + 4y + 1 = 0 are

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Q4

The eccentricity of the ellipse

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Q5

If the eccentricities of the two ellipse

are equal, then the value , is

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Q6

The curve represented by the equation

, is

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Q7

The equation of the ellipse whose axes are along the coordinate axes, vertices are (±5, 0) are foci at (±4, 0), is

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Q8

The equation of the ellipse whose axes are along the coordinate axes, vertices are (0, ±10) and eccentricity e = 4/5, is

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Q9

If the latusrectum of an ellipse is equal to one half of its minor axis, then the eccentricity is equal to

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Q10

The equation of the circle drawn with the two foci of as the end-points of a diameter, is

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