Equation of two diameters of a circle are 2x - 3y = 5 and 3x - 4y… | JEE Main 2024 Mathematics PYQ

MCQMediumJEE Main 2024 · 29 January, Shift 1Circle Equation & Properties

Equation of two diameters of a circle are $2x - 3y = 5$ and $3x - 4y = 7$ . 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:

A
$3$
B
$2$
C
$4$
D
$-1$

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