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Prove that area common to ellipse {{{x}^{{2}}}}{{{a}^{{2}}}}+{

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Prove that area common to ellipse $\frac{x ^{2}}{a ^{2}} + \frac{y ^{2}}{b ^{2}} = 1$ and its auxiliary circle $x^{2} + y^{2} = a^{2}$ is equal to the area of another ellipse of semi-axis $a a n d a - b ˙$

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Prove that area common to ellipse

\frac{x ^{2}}{a ^{2}} + \frac{y ^{2}}{b ^{2}} = 1

and its auxiliary circle

x^{2} + y^{2} = a^{2}

is equal to the area of another ellipse of semi-axis

a a n d a - b ˙

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Question Text

Prove that area common to ellipse

\frac{x ^{2}}{a ^{2}} + \frac{y ^{2}}{b ^{2}} = 1

and its auxiliary circle

x^{2} + y^{2} = a^{2}

is equal to the area of another ellipse of semi-axis

a a n d a - b ˙

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