Mathematics - Circle Question with Solution | TestHub

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

MathematicsMediumsingle choice

The equation of a circle $C_{1}$ is $x^{2} + y^{2} = 4$ . The locus of point of intersection of perpendicular tangents to the circle is the curve $C_{2}$ and the locus of midpoints of the chords of the circle subtending a right angle at the origin is the curve $C_{3}$ . Then

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Solution:

$C_{2}$ is $x^{2} + y^{2} = 8$ and $C_{3}$ is $x^{2} + y^{2} = 2$

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

⏱ 2mℹ️ Source: QB

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