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An ellipse with eccentricity $\frac{1}{2}$ passes through the point P(3, 4) whose nearer focus is $S (0, 0)$ the equation of tangent at P on the ellipse is $3 x + 4 y - 25 = 0.$ If a chord through S parallel to the tangent at P intersects the ellipse at A and B, then the length of AB =

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answer is 15.

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Detailed Solution

Here focus chord is normal. Hence the focal chord is the major axis.

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