Let the image of the point (1,0,7) in the line \frac{x}{1}=\frac{y-1}{2}=\frac{z-2}{3} be the point (\alpha, \beta, \gamma). Then which one of the following points lies on the line passing through (\alpha, \beta, \gamma) and making angles \frac{2 \pi}{3} and \frac{3 \pi}{4} with y-axis and z-axis respectively and an acute angle with {\x}-axis? [27-Jan-2024 Shift 2]

Correct Answer is : (3,4,3−2√2)

JEE Main 27-Jan-2024 Shift 2 Solved Paper

Section: Mathematics

Question : 3 of 90

Marks: +1, -0

Let the image of the point (1,0,7) in the line ‌

=‌

y−1

=‌

z−2

be the point (α,β,γ). Then which one of the following points lies on the line passing through (α,β,γ) and making angles ‌

2π

and ‌

3π

with y-axis and z-axis respectively and an acute angle with x-axis?

[27-Jan-2024 Shift 2]

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