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