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The length of the latusrectum of the ell...

The length of the latusrectum of the ellipse `16x^(2)+25y^(2)=400` is

A

`5/16` units

B

`32/5` units

C

`16/5`units

D

`5/32`units

Text Solution

Verified by Experts

The correct Answer is:
B
We have , `16x^(2)+25y^(2)=400`
`rArr (16x^(2))/(400)+(25y^(2))/(400)+1rArrx^(2)/25+y^(2)/16=1`
`therefore` length of latusrectum= `(2b^(2))/(a)=(2x16)/(5)=(32)/(5) units`
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