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3D Geometry question

2024 · 31 Jan · Shift 1 · Q56

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JEE Main
Mathematics
3D Geometry
2024 · 31 Jan · Shift 1 · Q56

3D Geometry question

2024 · 31 Jan · Shift 1 · Q56

JEE MainMathematics3D GeometryNumerical+4 / −1

Let

\mathrm{Q}

and

\mathrm{R}

be the feet of perpendiculars from the point

\mathrm{P}(a, a, a)

on the lines

x=y, z=1

and

x=-y, z=-1

respectively. If

\angle \mathrm{QPR}

is a right angle, then

12 a^2

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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