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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)=1`
`rArr (x^(2))/(25+(y^(2))/(16)=1`
`:.` Length of latusrectum `=(2b^(2))/(a)`
`=(2xx16)/(5)=(32)/(2)` units
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