Three Dimensional Geometry

Section: Mathematics

Question : 1 of 35

Marks: +1, -0

Let L1 be the line of intersection of the planes given by the equations 2x+3y+z=4‌ and ‌x+2y+z=5 Let L2 be the line passing through the point P(2,−1,3) and parallel to L1. Let M denote the plane given by the equation 2x+y−2z=6 Suppose that the line L2 meets the plane M at the point Q. Let R be the foot of the perpendicular drawn from P to the plane M.
Then which of the following statements is (are) TRUE?

[JEE Adv 2025 P1]

The length of the line segment PQ is 9√3
The length of the line segment QR is 15
The area of △PQR is ‌
3
2
√234
The acute angle between the line segments PQ and PR is cos−1(‌
1
2√3
)

Validate

Go to Question:

Next Question