Let the lines 3x - 4y - α = 0, 8x - 11y - 33 = 0, 2x - 3y + λ = 0… | JEE Main 2025 Mathematics PYQ

MCQMediumJEE Main 2025 · 24 January, Shift 1Straight Line Equations

Let the lines $3x - 4y - \alpha = 0, \quad 8x - 11y - 33 = 0, \quad 2x - 3y + \lambda = 0$ be concurrent. If the image of the point $(1, 2)$ in the line $2x - 3y + \lambda = 0$ is $\left( \frac{57}{13}, \frac{-40}{13} \right)$ , then $|\alpha \lambda|$ is equal to:

A
$84$
B
$91$
C
$113$
D
$101$

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