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Eccentricity of Ellipse

The lines joi...

Question

The lines joining the origin and the common points of $(x - 3)^{2} + (y - 4)^{2} = r^{2}$ and $4 x + 3 y = 24$ are at right angles then $| r |$ = ________

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Solution

r = dist from (0, 0) to (3, 4) = 5

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