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Let L1 be the length of the common chord of the curves x2 + y2 = 9 and y2 =8x, and L2 be the length of the latus rectum of y2 = 8x, then 

a
L1>L2
b
L1=L2
c
L1
d
L1L2=2

detailed solution

Correct option is C

For the points of intersection of the curves x2+y2=9 and y2=8x, we have  x2+8x−9=0⇒x=−9 or x=1 Since x>0 for y2 = 8x, the points of intersection are  (1,22) and (1,−22) so that the length of the common chord L1 is 42.L2=length of the latus rectum of  y2=8x is 8 . So L1

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