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JEE Main 2024 Mathematics question

MathematicsCircleJEE Main 2024

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

Answer: (A)

Solution

C₂ is x² + y² + 2x − 3 = 0. Subtracting from C₁ gives the chord 4x + 2y − 4 = 0, which

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Question ID VK-011649