JEE MATHEMATICS MCQ: SYSTEM OF CIRCLES

1 Easy

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Application +4 | -1

The equation of the circle and its chord are respectively

x^2+y^2=a^2

and

x \cos \alpha+y \sin \alpha=p

. The equation of the circle of which this chord is a diameter, is

View answer and explanation

Correct option: A

x^2+y^2-2 p x \cos \alpha-2 p y \sin \alpha+2 p^2-a^2=0

Option A (

x^2+y^2-2 p x \cos \alpha-2 p y \sin \alpha+2 p^2-a^2=0

) is correct because it represents the equation of a circle where the given chord is a diameter, derived using the concept of a family of circles.

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