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Length of the common chord of the parabola $y^{2} =$
$8 x$ and the circle $x^{2} + y^{2} - 2 x - 4 y = 0$ is

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a

125

b

5

c

25

d

35

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detailed solution

Correct option is C

Any point on the parabola is 2t2,4t which lies onthe circle if t4+3t2−4t=0⇒t=0,1⇒end points of the common chord are (0, 0) and(2, 4) and the required length is 25.

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