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3D Geometry question

2024 · 27 Jan · Shift 2 · Q35

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JEE Main
Mathematics
3D Geometry
2024 · 27 Jan · Shift 2 · Q35

3D Geometry question

2024 · 27 Jan · Shift 2 · Q35

JEE MainMathematics3D GeometryMCQ+4 / −1

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 ?

A
$(1,-2,1+\sqrt{2})$
B
$(3,-4,3+2 \sqrt{2})$
C
$(3,4,3-2 \sqrt{2})$
D
$(1,2,1-\sqrt{2})$

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