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 ExamsThree 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?
  1. The length of the line segment PQ is
  2. The length of the line segment QR is 15
  3. The area of ΔPQR is
  4. The acute angle between the line segments PQ and PR is

Answer

(C) The area of Δ PQR is

Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.

Related practice questions

More Three Dimensional Geometry questions · Browse all practice questions