Question
If (√3)bx+ay=2ab is tangent to the ellipse x2a2+y2b2=1 , then eccentric angle θ is
Answer: Option B
:
B
Equation of tangent at a point (acosθ,bsinθ)isxacosθ+ybsinθ=1
But, it is the same as xa√32+yb.12=1
∴cosθ=√32,sinθ=12⇒θ=π6
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:
B
Equation of tangent at a point (acosθ,bsinθ)isxacosθ+ybsinθ=1
But, it is the same as xa√32+yb.12=1
∴cosθ=√32,sinθ=12⇒θ=π6
Was this answer helpful ?
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