Let the circle C₁: x²+y²-2(x+y)+1=0 and C₂ be a circle having centre at (-1,0) and radius 2. If the line of the common chord of C₁ and C₂ intersects the y -axis at the point P, then the square of the distance of P from the centre of C₁ is:

Coordinate Geometry: JEE Main 2024 Mathematics question

JEE Main 2024 · 5 Apr, Evening shift · Q3117

JEE Main 20245 Apr, Evening shiftMathematicsMediumCoordinate Geometry478× since 2002

Let the circle

C_1: x^2+y^2-2(x+y)+1=0

and

\mathrm{C_2}

be a circle having centre at

(-1,0)

and radius 2 . If the line of the common chord of

\mathrm{C}_1

and

\mathrm{C}_2

intersects the

\mathrm{y}

-axis at the point

\mathrm{P}

, then the square of the distance of P from the centre of

\mathrm{C_1}

is: