JEE MATHEMATICS MCQ: SYSTEM OF CIRCLES

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Application +4 | -1

Two circles with centres

\left( {2,3} \right)

and

\left( {5,6} \right)

cut orthogonally. If radius of both circles are equal, then radius is equal to

View answer and explanation

Correct option: C

Option C (3) is correct because the radius is calculated using the orthogonality condition for circles:

(C_1C_2)^2 = r_1^2 + r_2^2

, where

C_1

and

C_2

are the centers of the circles.

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