Mathematics - Circle Question with Solution | TestHub

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

MathematicsMediumsingle choice

The radical centre of $x^{2} + y^{2} = 9, x^{2} + y^{2} - 2 x - 2 y = 5, x^{2} + y^{2} + 4 x + 6 y = 19$ lies on $y = m x$ . Find $m$ .

Answer:

Solution:

The radical axes yield $x + y = 2$ and $2 x + 3 y = 5$ , whose intersection is $(1, 1)$ , hence $m = 1$ .

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

⏱ 2mℹ️ Source: QB

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