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MathematicsCirclePole & PolarMedium2 minQB

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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 coordinates of $Q$ are

Options:

Answer:

Solution:

The polar $A B$ of $P = (u, 4 - 2 u)$ is $ux + (4 - 2 u) y = 1$ . All these lines pass through $(1/2, 1/4)$ .

Stream:JEESubject:MathematicsTopic:CircleSubtopic:Pole & Polar

⏱ 2mℹ️ Source: QB

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