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Mathematics - Circle Question with Solution | TestHub

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

MathematicsMediumsingle choice

A line meets $x^{2} + y^{2} = 100$ at two points, each four units from $(8, 6)$ on the circle. Find the line.

Options:

Answer:

Solution:

It is the radical axis of $x^{2} + y^{2} = 100$ and $(x - 8)^{2} + (y - 6)^{2} = 16$ . Subtracting gives $16 x + 12 y - 184 = 0$ , or $4 x + 3 y - 46 = 0$ .

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

⏱ 2mℹ️ Source: QB

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