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JEE Main 2024 Mathematics question

MathematicsCircleJEE Main 2024

Equations of two diameters of a circle are 2x – 3y = 5 and 3x – 4y = 7. The line joining the points (–22/7, –4) and (–1/7, 3) intersects the circle at only one point P(α, β). Then 17β – α is equal to .

Answer: 2

Solution

The diameters meet at the centre C(1, −1). The line through A(−22/7, −4) and B(−1/7, 3) is 7x − 3y + 10 = 0. It touches the

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Question ID VK-016922