Mathematics - Circle Question with Solution | TestHub

MathematicsCircleRadical Axis & Radical Centre, Coaxial system of circles, Orthogonality of two circlesMedium2 minQB

MathematicsMediumsingle choice

Two circles with radii $r_{1}, r_{2}$ intersect orthogonally. Find their common chord length.

Answer:

Solution:

The distance between centres is $r_{1}^{2} + r_{2}^{2}$ . The half-chord is $r_{1} r_{2} / r_{1}^{2} + r_{2}^{2}$ , so double it.

Stream:JEESubject:MathematicsTopic:CircleSubtopic:Radical Axis & Radical Centre, Coaxial system of circles, Orthogonality of two circles

⏱ 2mℹ️ Source: QB

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