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Question

The angle between two asymptotes of the hyperbola x225y216=1 is

A
tan145
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B
2tan145
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C
2tan154
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D
π2tan145
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Solution

The correct option is B 2tan145
We know that angle between asymptotes of hyperbola
x2a2y2b2=1 is, θ=2tan1(ba)
Here a=5 and b=4
Hence required angle is, θ=2tan1(45)

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