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Ellipse question

2008 · Shift 1 · Q41

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PYQ Library
JEE Advanced
Mathematics
Ellipse
2008 · Shift 1 · Q41

Ellipse question

2008 · Shift 1 · Q41

JEE AdvancedMathematicsEllipseMultiple correct+4 / −2

Let

P\left( {{x_1},{y_1}} \right)

and

Q\left( {{x_2},{y_2}} \right),{y_1} \lt 0,{y_2} \lt 0,

be the end points of the latus rectum of the ellipse

{x^2} + 4{y^2} = 4.

The equations of parabolas with latus rectum

PQ

are :

A
${x^2} + 2\sqrt 3y = 3 + \sqrt 3$
B
${x^2} - 2\sqrt 3y = 3 + \sqrt 3$
C
${x^2} + 2\sqrt 3y = 3 - \sqrt 3$
D
${x^2} - 2\sqrt 3 y = 3 - \sqrt 3$

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