338. A straight line drawn from the point P (1, 3, 2), parallel to the line x-2 1 = y-4 2…
Mathematics · JEE Advanced · NTA Exams — Three Dimensional Geometry
338. A straight line drawn from the point P (1, 3, 2), parallel to the line \(\frac{x-2}{1}=\frac{y-4}{2}=\frac{z-6}{1},\)intersects the plane
L1 : x – y + 3z = 6 at the point Q. Another straight line which passes through Q and is perpendicular to the plane L1 intersects the plane L2 : 2x – y + z = – 4 at the point R. Then which of the following statements is (are) TRUE?
L1 : x – y + 3z = 6 at the point Q. Another straight line which passes through Q and is perpendicular to the plane L1 intersects the plane L2 : 2x – y + z = – 4 at the point R. Then which of the following statements is (are) TRUE?
- The length of the line segment PQ is
- The coordinates of R are (1, 6, 3)
- The centroid of the triangle PQR is
- The perimeter of the triangle PQR is
Answer
(C) The centroid of the triangle PQR is
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