If The Angle Between The Straight Lines Joining Foci And The Ends Of Minor Axis Of The Ellipse is 900 then The Eccentricity Is

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Question

If the angle between the straight lines joining foci and the ends of minor axis of the ellipse is 90⁰ then the eccentricity is

None of these

easy

Solution

Correct option is

S(ae, 0), S’(– ae, 0) ae foci B(0, b) is an end of the minor axis

m₁ = slope of

Slope of

.

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SIMILAR QUESTIONS

Q1

The ellipse cuts x-axis at A and A’ and y-axis at Band B’. The line joining the focus S and B makes an angle with x-axis. The eccentricity of the ellipse is

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Q2

A circle is drawn on the major axis of the ellipse 9x² + 16y² = 144 as diameter. The equation of circle is

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Q3

The equation represents an ellipse, if

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Q4

S and T are the foci of an ellipse and B is an end of the minor axis. If STB is an equilateral triangle, the eccentricity of the ellipse is

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Q5

The locus of mid-points of focal chords of the ellipse is

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Q6

If touches the ellipse , then its eccentricity angle θ is equal to

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Q7

If the polar with respect to the parabola y² = 4ax touches the ellipse , then the locus of its pole is

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Q8

The locus of mid-point of the portions of the tangents to the ellipse included between the axes is the curve

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Q9

The area of the parallelogram formed by tangents at the extremities of two conjugate diameters of the ellipse is equal to

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Q10

The tangent and the normal to the ellipse x² + 4y² = 4 at a point P on it meet the major axis in Q and R respectively. If QR = 2, then the eccentric angle of P is

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