Mathematics - Circle Question with Solution | TestHub

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

MathematicsMediumsingle choice

Three circles with centres $A, B, C$ meet pairwise orthogonally. The point of intersection of their common chords is the

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Answer:

Solution:

Each pairwise radical axis is perpendicular to the corresponding side of the triangle of centres. Orthogonality of the third circle to each member of the pair makes its centre lie on their radical axis, so these axes are the three altitudes.

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

⏱ 2mℹ️ Source: QB

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