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JEE Main 2026 Mathematics question

MathematicsCircleJEE Main 2026

Suppose that two chords, drawn from the point (1, 2) on the circle x² + y² + x − 3y = 0 are bisected by the y-axis. If the other ends of these chords are R and S, and the mid point of the line segment RS is (α, β), then 6(α + β) is equal to:

Answer: (B)

Solution

For a midpoint (0, m), the other end is (−1, 2m−2), which lies on the circle when 2m² − 7m + 5 = 0, giving m =

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Question ID VK-015272