Length of the common chord of the parabola y2=8x and the circle x2+y2−2x−4y=0 is
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a
125
b
5
c
25
d
35
answer is C.
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Detailed Solution
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.