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The circles having radii r1a n dr2 inter...

The circles having radii `r_1a n dr_2` intersect orthogonally. The length of their common chord is `(2r_1r_2)/(sqrt(r1^2+r2^2))` (b) `(sqrt(r1^2+r2^2))/(2r_1r_2)` `(r_1r_2)/(sqrt(r1^2+r1^2))` (d) `(sqrt(r1^2+r1^2))/(r_1r_2)`

A

`(2 r_(1) r_(2))/(sqrt (r _(1) ^(2)+r _(2) ^(2)))`

B

`(2 r_(1)^(2) r_(2))/(sqrt (r _(1) ^(2)+r _(2) ^(2)))`

C

`( r_(1) r_(2))/(sqrt (r _(1) ^(2)+r _(2) ^(2)))`

D

`( 2r_(1) r_(2))/(sqrt (r _(1) ^(2)+r _(2) ^(2)))`

Text Solution

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The correct Answer is:
A
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