The circle on the chord x cos ⁡ +y sin ⁡ =p of the circle x^2+y^2=a^2 as diameter has the equation x^2+y^2-a^2- Np (x cos ⁡ +y sin ⁡ -p )=0 Find N.

Question

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Correct answer: 2. 2JEE Main 2020 Get combined equation of family of circles through points of intersection of line and circle and then apply condition for radius of circle.

$The circle on the chord x cos α + y sin α = p of the circle x^{2} + y^{2} = a^{2} as diameter has the equation x^{2} + y^{2} - a^{2} - Np (x cos α + y sin α - p) = 0 Find N .$

Solution

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