The Equation Of The Ellipse, Referred To Its Axes As The Axes Of Coordinates, Which Passes Through The Points (2, 2) And (1, 4) Is

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Question

The equation of the ellipse, referred to its axes as the axes of coordinates, which passes through the points (2, 2) and (1, 4) is

easy

Solution

Correct option is

… (1)

It passes through (2, 2) and (1, 4)

… (2)

and … (3)

(3) – (2) b² = 20

.

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SIMILAR QUESTIONS

Q1

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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Q2

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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Q3

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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Q4

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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Q5

If CP and CD is a pair of semi-conjugate diameters of the ellipse,

, then CP² + CD² =

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Q6

The line y = 2t² meets the ellipse in real point if

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Q7

The locus of the foot of the perpendiculars to any tangent of an ellipse from the foci is

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Q8

The product of the perpendiculars from the foci upon any tangent to the ellipse is

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Q9

If P and D are the extremities of a pair of conjugate diameters of the ellipse , then the locus of the middle point ofPD is

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Q10

If CP and CD be any two semi-conjugate diameters of the ellipse and the circle with CP and CD as diameters intersect in R, then R lies on the curve

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