The length of the common chord of the ellipse x-12-9 - y-22-4-1 and the circle x-12- y-22-1 is-

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Intercept Made by Circle on Axes

The length of...

Question

The length of the common chord of the ellipse $\frac{(x - 1)^{2}}{9} + \frac{(y - 2)^{2}}{4} = 1$ and the circle $(x - 1)^{2} + (y - 2)^{2} = 1$ is:

No common chord

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Solution

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\frac{{(x - 1)}^{2}}{9} + \frac{{(y - 2)}^{2}}{4} = 1

{(x - 1)}^{2} + {(y - 2)}^{2} = 1

\frac{{(x - 3)}^{2}}{9} + \frac{{(y + 2)}^{2}}{4} = 1

{(x - 3)}^{2} + {(y + 2)}^{2} = 1

(x - 1)^{2} + (y - 2)^{2} = 4

(x - 5)^{2} + (y - 2)^{2} = 1

{(x - 1)}^{2} + {(y + 1)}^{2} = c^{2} a n d {(x + 1)}^{2} + {(y - 1)}^{2} = c^{2}

Find the equation of director circle of the circle $(x - 1)^{2} + (y - 2)^{2} = 4$

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