If The Line lx + my + n = 0 Cuts The Ellipse in Points Whose Eccentric Angles Differ By π/2, Then

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Question

If the line lx + my + n = 0 cuts the ellipse in points whose eccentric angles differ by π/2, then

easy

Solution

Correct option is

Suppose the line lx + my + n = 0 cuts the ellipse at . Then, these two points lie on the given line.

and,

and,

.

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SIMILAR QUESTIONS

Q1

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

easy View solution

Q2

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

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Q3

The foci of the conic 25x² +16y² – 150x = 175 are

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Q4

The foci of the ellipse are

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Q5

The vertices of the ellipse

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Q6

The equation of the ellipse, with axes parallel to the coordinate axes, whose eccentricity is 1/3 and foci are at (2, –2) and (2, 4) is

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Q7

For the ellipse

,

lengths of major and minor axes are respectively.

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Q8

The equation of the ellipse whose axes are of lengths 6 and and their equations are x – 3y + 3 = 0 and 3x + y – 1 = 0 respectively, is

diffcult View solution

Q9

The eccentric angle of the extremities of latusrecta of the ellipse are given by

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Q10

If the line lx + my + n = 0 to touches the ellipse , then

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