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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

Passage / Comprehension

P varies on 2x + y = 4. Tangents from P to x² + y² = 1 touch at A and B; 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 midpoint of $A B$ always lies on

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Answer:

Solution:

The midpoint $M$ of the contact chord is $P /∣ P ∣^{2}$ . Hence $2 M_{x} + M_{y} = 4/∣ P ∣^{2} = 4 (M_{x}^{2} + M_{y}^{2})$ .

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

⏱ 2mℹ️ Source: QB

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