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In Figure, l is a line intersecting t...

In Figure, `l` is a line intersecting the two concentric circles, whose common centre is `O ,` at the points `A ,\ B ,\ C\ a n d\ D` . Show that `A B=C Ddot`

A

AB=BD

B

CD=AC

C

AB=CD

D

None

Text Solution

Verified by Experts

The correct Answer is:
C
Draw `OL_|_AD`
AD is a chord of outer circle.
AL=LD-(1)
BC is a chord of inner circle.
BL=LC-(2)
Subtracting equation 1 from 2
AL-BL=LD-LC
AB=CD.
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