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3D Geometry question

2025 · 22 Jan · Shift 1 · Q48

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JEE Main
Mathematics
3D Geometry
2025 · 22 Jan · Shift 1 · Q48

3D Geometry question

2025 · 22 Jan · Shift 1 · Q48

JEE MainMathematics3D GeometryNumerical+4 / −1

Let

\mathrm{L}_1: \frac{x-1}{3}=\frac{y-1}{-1}=\frac{z+1}{0}

and

\mathrm{L}_2: \frac{x-2}{2}=\frac{y}{0}=\frac{z+4}{\alpha}, \alpha \in \mathbf{R}

, be two lines, which intersect at the point

B

. If

P

is the foot of perpendicular from the point

A(1,1,-1)

on

L_2

, then the value of

26 \alpha(\mathrm{~PB})^2

is

\underline{\hspace{2cm}}

.

Numerical answer

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