Let L 1 be the line of intersection of the planes given by the equations 2 x +3 y + z = 4…
Mathematics · JEE Advanced · NTA Exams — Three Dimensional Geometry
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?
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?
- The length of the line segment PQ is

- The length of the line segment QR is 15
- The area of ΔPQR is

- The acute angle between the line segments PQ and PR is
Answer
(C) The area of Δ PQR is
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