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If a line intersects two concentric cir...

If a line intersects two concentric circles (circles with the same centre) with centre O at A, B, C and D. then.

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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Knowledge Check

  • In the given figure, two circles with their respective centres intersect each other at A and B and AB intersects OO' at M, then m angleOMA is :

    A
    `60^(@)`
    B
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    D
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