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If theta is the angle between the two ra...

If `theta` is the angle between the two radii (one to each circle) drawn from one of the point of intersection of two circles `x^2+y^2=a^2` and `(x-c)^2+y^2=b^2,` then prove that the length of the common chord of the two circles is `(2a bsintheta)/(sqrt(a^2+b^2-2a bcostheta))`

A

`(ab)/(sqrt(a^(2)+b^(2)-2ab cos theta))`

B

`(2ab)/(sqrt(a^(2)+b^(2)-2ab cos theta))`

C

`(2ab sin theta)/(sqrt(a^(2)+b^(2)-2ab cos theta))`

D

`(2ab cos theta)/(sqrt(a^(2)+b^(2)-2ab cos theta))`

Text Solution

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The correct Answer is:
C
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