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If the length of the latusrectum and the...

If the length of the latusrectum and the length of transverse axis of a hyperbola are `4 sqrt3 and 2 sqrt3` respectively, then the equation of the hyperbola is
a)`(x ^(2))/( 3) - (y ^(2))/(4) =4 `
b)`(x ^(2))/(3) - (y ^(2))/(6) =1 `
c)`(x ^(2))/( 6) - (y ^(2))/(9) =1 `
d)`(x ^(2))/( 6) - (y ^(2))/(3) =1 `

A

`(x ^(2))/( 3) - (y ^(2))/(4) =4 `

B

`(x ^(2))/(3) - (y ^(2))/(9) =1 `

C

`(x ^(2))/( 6) - (y ^(2))/(9) =1 `

D

`(x ^(2))/( 6) - (y ^(2))/(3) =1 `

Text Solution

Verified by Experts

The correct Answer is:
D
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