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If the circles of same radius a and cent...

If the circles of same radius `a` and centers at (2, 3) and 5, 6) cut orthogonally, then find `adot`

Text Solution

Verified by Experts

The correct Answer is:
3 units
We have centres `C_(1)(2,3)` and `C_(2)(5,6)`
`C_(1)C_(2)=3 sqrt(2)`.
Circles intersect orthogonally.
`:. (C_(1)C_(2))^(2)=r_(1)^(2)+r_(2)^(2)`
`implies 18=2a^(2)`
`implies a=3`
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