Mathematics - Circle Question with Solution | TestHub

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

MathematicsMediumsingle choice

A circle in a coaxial system is $x^{2} + y^{2} + 2 gx + 2 f y + c = 0$ and one limiting point is $(a, b)$ . Find its radical axis.

Options:

Answer:

Solution:

Subtract the point circle $(x - a)^{2} + (y - b)^{2} = 0$ from the given circle. The radical axis is $2 (g + a) x + 2 (f + b) y +$ $c - a^{2} - b^{2} = 0$ .

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

⏱ 2mℹ️ Source: QB

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