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3D Geometry question

2023 · 25 Jan · Shift 2 · Q23

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JEE Main
Mathematics
3D Geometry
2023 · 25 Jan · Shift 2 · Q23

3D Geometry question

2023 · 25 Jan · Shift 2 · Q23

JEE MainMathematics3D GeometryMCQ+4 / −1

The foot of perpendicular of the point (2, 0, 5) on the line

{{x + 1} \over 2} = {{y - 1} \over 5} = {{z + 1} \over { - 1}}

is (

\alpha,\beta,\gamma

). Then, which of the following is NOT correct?

A
$\frac{\alpha}{\beta}=-8$
B
$\frac{\alpha \beta}{\gamma}=\frac{4}{15}$
C
$\frac{\beta}{\gamma}=-5$
D
$\frac{\gamma}{\alpha}=\frac{5}{8}$

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