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Mathematics - Circle Question with Solution | TestHub

MathematicsCircleEquation of chord with given middle point Chord of contact Pair of TangentsMedium2 minQB

MathematicsMediumsingle choice

$A (b, c), B, C$ lie on $x^{2} + y^{2} = a^{2}$ and $A B = A C = d$ . Find the equation of $BC$ .

Options:

Answer:

Solution:

The chord $BC$ is the radical axis of $x^{2} + y^{2} = a^{2}$ and $(x - b)^{2} + (y - c)^{2} = d^{2}$ . Since $b^{2} + c^{2} = a^{2}$ , subtraction gives $2 b x + 2 cy = 2 a^{2} - d^{2}$ .

Stream:JEESubject:MathematicsTopic:CircleSubtopic:Equation of chord with given middle point Chord of contact Pair of Tangents

⏱ 2mℹ️ Source: QB

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