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Question

If (3)bx+ay=2ab is tangent to the ellipse x2a2+y2b2=1 , then eccentric angle θ is

A
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B
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C
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Solution

The correct option is B
Equation of tangent at a point (acosθ,bsinθ)isxacosθ+ybsinθ=1
But, it is the same as xa32+yb.12=1
cosθ=32,sinθ=12θ=π6

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