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Straight Lines and Pair of Straight Lines question

2025 · 24 Jan · Shift 1 · Q43

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Straight Lines and Pair of Straight Lines
2025 · 24 Jan · Shift 1 · Q43

Straight Lines and Pair of Straight Lines question

2025 · 24 Jan · Shift 1 · Q43

JEE MainMathematicsStraight Lines and Pair of Straight LinesMCQ+4 / −1

Let the lines

3 x-4 y-\alpha=0,8 x-11 y-33=0

, and

2 x-3 y+\lambda=0

be concurrent. If the image of the point

(1,2)

in the line

2 x-3 y+\lambda=0

is

\left(\frac{57}{13}, \frac{-40}{13}\right)

, then

|\alpha \lambda|

is equal to

A
91
B
113
C
101
D
84

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