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Mathematics - Circle Question with Solution | TestHub

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

MathematicsMediuminteger

Tangents from $A = (cos θ, sin θ)$ and $B = (- sin θ, cos θ)$ to $x^{2} + y^{2} = 1$ meet at $P$ . If the locus of $P$ is $x^{2} + y^{2} = k$ , find $k$ .

Answer:

Solution:

The tangents are perpendicular, so $P$ lies on the director circle $x^{2} + y^{2} = 2$ .

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

⏱ 2mℹ️ Source: QB

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