The tangent at point (a \cos \theta, b \sin \theta), 0< \theta< \frac{\pi}{2}, to the ellipse \frac{x^2}{a^2}+\frac{y^2}{b^2}=1 meets the {\x}-axis at {\T} and {\y}-axis at {\T}_1. Then the value of \min _{0< \theta< \frac{\pi}{2}}(O T) (O T_1) is

WBJEE 2023 Math Solved Paper

Question : 44 of 75

Marks: +1, -0

The tangent at point (a‌cos‌θ,bsin‌θ),0<θ<‌

, to the ellipse ‌

+‌

=1 meets the x-axis at T and y-axis at T1. Then the value of min0<θ<‌

(OT)(OT1) is

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