Mathematics - Circle Question with Solution | TestHub

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

MathematicsMediumsingle choice

Find the circle through the origin in the coaxial system whose limiting points are $(1, 2)$ and (4, 3).

Options:

Answer:

Solution:

The point circles are $(x - 1)^{2} + (y - 2)^{2} = 0$ and $(x - 4)^{2} + (y - 3)^{2} = 0$ . Their linear combination $5 S_{1} - S_{2} = 0$ passes through the origin, simplifying to $2 x^{2} + 2 y^{2} - x - 7 y = 0$ .

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

⏱ 2mℹ️ Source: QB

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