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Q.

The minimum area of the triangle formed by the tangent to the ellipse x2a2+y2b2=1 

and the coordinate axes is

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a

(a+b)22

b

a2+b22

c

a2+ab+b23

d

ab

answer is A.

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Detailed Solution

 Equation of the tangent at P(θ) to the given ellipse is xacosθ+ybsinθ=1

 ∴Area of the triangle formed by it with coordinate axis =ab2sinθcosθ=absinab

minimun area=ab

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