A triangle is formed by a tangent to the ellipse x^ 2 a^ 2 + y^ 2 b^ 2 =1 and the…
Mathematics · JEE Main · NTA Exams — Co-ordinate Geometry
A triangle is formed by a tangent to the ellipse \(\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1\) and the coordinate axes. The area of triangle cannot be less than
- \(\frac{1}{2}\left(a^{2}+b^{2}\right)\) sq. unit
- \(\frac{1}{3}\left(a^{2}+a b+b^{2}\right)\) sq. unit
- \(\frac{1}{2}(a+b)^{2}\) sq. unit
- ab sq. unit
Answer
(D) ab sq. unit
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