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Two circles of radii 5\ c m\ a n d\ 3c...

Two circles of radii `5\ c m\ a n d\ 3c m` intersect at two points and the distance between their centres is `4c m`. Find the length of the common chord.

A

`5 cm`

B

`4 cm`

C

`3 cm`

D

`6 cm`

Text Solution

Verified by Experts

The correct Answer is:
D
By Pythagoras theorem
`(5)^2 = (3)^2 + (4)^2`
`AO = 5cm`
`AO' = 3cm`
`OO' = 4 cm`
`(AO)^2 = (AO')^2 + (OO')^2`
In `/_ AOO' ` right angled triangle
`/_ AO'O = 90^@`
...
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