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Mathematics · 2025

JEE Main · 24 January 2025, Shift 1 · Q9

Let the lines 3 x-4 y-α=0,8 x-11 y-33=0, and 2 x-3 y+λ=0 be concurrent. If the image of the point (1,2) in the line 2 x -3 y +λ=0 is (57/13, -40/13),…

Let the lines $\displaystyle 3 x-4 y-\alpha=0,8 x-11 y-33=0$, and $\displaystyle 2 x-3 y+\lambda=0$ be concurrent. If the image of the point $\displaystyle (1,2)$ in the line $\displaystyle 2 \mathrm{x}-3 \mathrm{y}+\lambda=0$ is $\displaystyle \left(\frac{57}{13}, \frac{-40}{13}\right)$, then $\displaystyle |\alpha \lambda|$ is equal to
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JEE Main 2025 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.