Let a line pass through two distinct points P(-2,-1,3) and Q, and be parallel to the vector 3i+2j+2k. If the distance of the point Q from the point R(1,3,3) is 5, then the square of the area of PQR is equal to:

Three Dimensional Geometry: JEE Main 2025 Mathematics question

JEE Main 2025 · January, Unspecified (session-level dataset) · Q29

JEE Main 2025January, Unspecified (session-level dataset)MathematicsMediumThree Dimensional Geometry249× since 2002

Let a line pass through two distinct points

P(-2,-1,3)

and

Q

, and be parallel to the vector

3\hat{i}+2\hat{j}+2\hat{k}

. If the distance of the point

Q

from the point

R(1,3,3)

is 5, then the square of the area of

\triangle PQR

is equal to: