Mathematics - Circle Question with Solution | TestHub

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

MathematicsMediumsingle choice

Passage / Comprehension

For Q60-62: A coaxial system is a family of circles sharing one radical axis. Limiting points are its zero-radius point circles.

A coaxial system is a family of circles with the same radical axis. Its limiting points are the zero-radius point circles in the family. Find the limiting points of the coaxial system through $x^{2} + y^{2} + 4 x + 2 y + 5 = 0$ and $x^{2} + y^{2} + 2 x + 4 y + 7 = 0$ .

Options:

Answer:

Solution:

For $S_{1} + λ S_{2}$ , the radius vanishes at $λ = 0, - 2$ , giving centres $(- 2, - 1), (0, - 3)$ .

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

⏱ 2mℹ️ Source: QB

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