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Let P(1) : y^(2) = 4ax and P(2) : y^(2) ...

Let `P_(1) : y^(2) = 4ax` and `P_(2) : y^(2) =-4ax` be two parabolas and L : y = x be a straight line.
if a = 4, then the equation of the ellipse having the line segment joining the foci of the parabolas `P_(1)` and `P_(2)` as the major axis and eccentricity equal to `(1)/(2)` is

A

`(x^(2))/(4) + (y^(2))/(3) =1`

B

`(x^(2))/(3) + (y^(2))/(4) =1`

C

`(x^(2))/(16) + (y^(2))/(12) =1`

D

`(x^(2))/(12) + (y^(2))/(16) =1`

Text Solution

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The correct Answer is:
C
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