The circle x2 - y2 - c2 contains the ellipse x2a2 - y2b2 - 1 if

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Question

The circle $x^{2} + y^{2} = c^{2}$ contains the ellipse $\frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}} = 1$ if

c < a

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c < b

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c > m a x (a, b)

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c > m i n (a, b)

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Solution

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Similar questions

\in R^{+}

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

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

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

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

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

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

a, b, c > 0,

a, b, c

a, b, c > R^{+}

a, b, c

x, y, z

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

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

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

a, b, c

\frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}} - \frac{z^{2}}{c^{2}} = 1, \frac{x^{2}}{a^{2}} - \frac{y^{2}}{b^{2}} + \frac{z^{2}}{c^{2}} = 1, \frac{- x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}} + \frac{z^{2}}{c^{2}} = 1

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

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

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

a, b, c

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