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Find the maximum area of an isosceles triangle inscribed in the ellipse $ \large\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$ with its vertex at one end of the major axis.
cbse
class12
modelpaper
2012
sec-c
q24
math
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asked
Jan 27, 2013
by
thanvigandhi_1
edited
Jul 24, 2013
by
sreemathi.v
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Find the maximum area of the isosceles triangle inscribed in the ellipse $ \large\frac{x^2}{a^2}+\frac{y^2}{b^2}$$=1$ with its vertex at one end of major axis.
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Find the maximum area of an isosceles triangle inscribed in the ellipse \( \frac{\large x^2}{\large a^2}+\frac{\large y^2}{\large b^2}=1\) with its vertex at one end of the major axis.
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Find the maximum area of an isosceles triangle inscribed in the ellipse $\large\frac{x^2}{a^2} + \frac{y^2}{b^2} $$= 1 $ with its vertex at one end of the major axis.
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Find the area of the greatest isoscles triangle that can be inscribed in a given ellipse $ \Large\frac{x^2}{a^2}+\frac{y^2}{b^2}$=1 with its vertex coinciding with one extremity of the major axis.
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Find the area of the smaller region bounded by the ellipse $\large\frac{x^2}{a^2}+\large\frac{y^2}{b^2}$$=1$ and the straight line $\large\frac{x}{a}+\frac{y}{b}$$=1$.
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Prove that the area of a right-angled triangle of given hypotenuse is maximum when it is isosceles.
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