MathsJEE Main 24 Jan 2026, Shift 1·Q22·Numerical·Moderate

3D Geometry · Line perpendicular to two lines

Let a line

L

passing through the point

P(1, 1, 1)

be perpendicular to the lines

\dfrac{x - 4}{4} = \dfrac{y - 1}{1} = \dfrac{z - 1}{1} \quad\text{and}\quad \dfrac{x - 17}{1} = \dfrac{y - 71}{1} = \dfrac{z}{0}.

Let the line

L

intersect the

yz

-plane at the point

Q

. Another line parallel to

L

and passing through the point

S(1, 0, -1)

intersects the

yz

-plane at the point

R

. Then the square of the area of the parallelogram

PQRS

is equal to .

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