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

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For Q81-83: P varies on 2x + y = 4. Tangents from P to x² + y² = 1 touch at A, B, and the chord AB passes through a fixed point Q.

$P$ varies on $2 x + y = 4$ . Tangents from $P$ to $x^{2} + y^{2} = 1$ touch at $A, B$ , and the chord $A B$ passes through a fixed point $Q$ . The locus of the circumcentre $S$ of $△ P A B$ is

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Answer:

Solution:

As $O A ⊥ P A$ and $OB ⊥ PB, O, A, P, B$ lie on the circle with diameter $OP$ . Thus $S = P /2$ , and $2 S_{x} + S_{y} = 2$ .

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

⏱ 2mℹ️ Source: QB

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