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If the angle of intersection at a point...

If the angle of intersection at a point where the two circles with radii 5 cm and 12 cm intersect is `90^(@)`, then the length (in cm) of their common chord is

A

`(13)/(2)`

B

`(60)/(13)`

C

`(120)/(13)`

D

`(13)/(5)`

Text Solution

Verified by Experts

The correct Answer is:
C

Area of PAB `=(1)/(2)PA.PB=(1)/(2)xxh.AB" "rArr" "12xx5=hxx13`
`h=(60)/(13)" "therefore" Length of chord"(120)/(13)`
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