﻿ , be the end points of the latusrectum of the ellipse x2 + 4y2 = 4. The equations of parabolas with latusrectum PQ are  : Kaysons Education

# , Be The End Points Of The Latusrectum Of The Ellipse x2 + 4y2 = 4. The Equations Of Parabolas With Latusrectum PQ are

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## Question

### Solution

Correct option is

We have,

Let e be the eccentricity of this ellipse. Then,

Clearly, coordinates of P and Q are  respectively.

⇒ Latusrectum of the parabola =

Coordinates of foci of two parabolas are (0, –1/2) and (0, –3/2).

So, the coordinates of the vertices of two parabola are .

Hence, their equations are

#### SIMILAR QUESTIONS

Q1

Let S and S’ be two foci of the ellipse . If a circle described on SS’ as diameter intersects the ellipse in real and distinct points, then the eccentricity e of the ellipse satisfies

Q2

If PSQ is a focal chord of the ellipse , then the harmonic mean of SP and SQ is

Q3

If PSQ is a focal chord of the ellipse 16x2 + 25y2 = 400 such that SP = 8, then SQ =

Q4

If S and S’ are two focii of the ellipse 16x2 + 25y2 = 400 andPSQ is a focal chord such that SP = 16, then SQ =

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Q6

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Q7

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Q8

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Q9

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Q10

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