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The equation of a directrix of the parab...

The equation of a directrix of the parabola `x^(2)/16+y^(2)/25=1`is

A

`3y=+-5`

B

`y=+5`

C

`3y=+-25`

D

`y=+-3`

Text Solution

Verified by Experts

The correct Answer is:
C
Here,a=4,b=5and e= `sqrt(1-(16)/(25)=)(3)/(5)`
` therefore` equation of directrix is`y=+-b/erArry=+-(5)/(3//5)`
`rArr3y=+-25`
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