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The centre of two concetric circles ...

The centre of two concetric circles is O. A straight line intersects one of the circles at A and B and the other cirlce at C and D respectively . If AC = 5 cm , then the length of BD is [GP-X]

A

2.5 cm

B

5 cm

C

10 cm

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Let AB intersect the greater one of tow concentric circles with centre at O at the points A and B and the smaller one at C and D .
Let ` OP bot CD , therefore OP bot AB`.
`therefore P` is the mid-point of both CD and AB.
`therefore PC = PD and PA = PB`
Now BD = PD [ by the figure ]
= PA - PC [ `because PB = PA and PD = PC]`
= AC
= 5 cm [ `because AC = 5 ` cm given]
`therefore ` lenght of BD = 5cm
`therefore` (b) is correct .
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