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The equation of the curve whose vertex i...

The equation of the curve whose vertex is (0,0) and length of latusrectum is `(16)/(3)` , is

A

`8x^(2) + 3y^(2) = 72`

B

`16y^2 = 3x`

C

`3y^(2) = 16 x`

D

`3x^(2) + 16y^(2) = 48`

Text Solution

Verified by Experts

The correct Answer is:
C
For the curve ` 3y^(2)=16x` , the length of latusrectum is ` (16)/(3)`
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