Jee Main
Circle
JEE Main 2024 (Online) 29th January Morning Shift
INTEGER+4 / -12024
Equations of two diameters of a circle are \(2 x-3 y=5\) and \(3 x-4 y=7\). The line joining the points \(\left(-\frac{22}{7},-4\right)\) and \(\left(-\frac{1}{7}, 3\right)\) intersects the circle at only one point \(P(\alpha, \beta)\). Then, \(17 \beta-\alpha\) is equal to _________.