The eccentricity of the conic represented by -x-22-y2-x-22-y2-8 is-

The correct option is D 12 undefined ...

243

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Eccentricity of Ellipse

The eccentric...

Question

The eccentricity of the conic represented by $\sqrt{(x + 2)^{2} + y^{2}} + \sqrt{(x - 2)^{2} + y^{2}} = 8$ is?

\frac{1}{3}

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\frac{1}{2}

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\frac{1}{4}

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\frac{1}{5}

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Solution

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\sqrt{{(x - 2)}^{2} + y^{2}} + \sqrt{{(x + 2)}^{2} + y^{2}} = 4

\sqrt{(x - 2)^{2} + y^{2}} - \sqrt{(x + 2)^{2} + y^{2}} = 5

\sqrt{{(x - 2)}^{2} + y^{2}} + \sqrt{(x + 2)^{2} + y^{2}} = 4

| \sqrt{(x - 2)^{2} + (y - 1)^{2}} - \sqrt{(x + 2)^{2} + y^{2}} | = c

x^{2} - y^{2} - 4 x + 4 y + 16 = 0

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