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Question

The latus rectum of the hyperbola 16x29y2=144 is-

A
136
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B
323
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C
83
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D
43
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Solution

The correct option is C 323
We have,

16x29y2=144

x29y216=1

Here, a=3,b=4

We know that the latus rectum

=2b2a

Therefore,

=2×163

=323

Hence, this is the answer.

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