A) \[\frac{32}{5}\]
B) \[\frac{16}{5}\]
C) \[\frac{25}{4}\]
D) \[\frac{25}{2}\]
Correct Answer: D
Solution :
[d]: \[16{{x}^{2}}-25{{y}^{2}}+400=0\] \[\Rightarrow \]\[\frac{{{y}^{2}}}{16}-\frac{{{x}^{2}}}{25}=1\Rightarrow {{a}^{2}}=16,{{b}^{2}}=25\] \[\therefore \]Latus rectum \[=\frac{2{{b}^{2}}}{a}=\frac{50}{4}=\frac{25}{2}\].
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