Let P 1 : 2 x + y − z = 3 and P 2 : x + 2 y + z = 2 be two planes. Then, which of the…
Mathematics · JEE Advanced · NTA Exams — Three Dimensional Geometry
Let P1: 2x + y − z = 3 and P2 : x + 2y + z = 2 be two planes. Then, which of the following statement(s) is (are) TRUE?
- The line of intersection of P1 and P2 has direction ratios 1, 2,−1
- The line
is perpendicular to the line of intersection of P1 and P2 - The acute angle between P1 and P2 is 60°
- If P3 is the plane passing through the point (4, 2, −2) and perpendicular to the line of intersection of P1 and P2, then the distance of the point (2, 1, 1) from the plane P3 is
Answer
(D) If P 3 is the plane passing through the point (4, 2, −2) and perpendicular to the line of intersection of P 1 and P 2 , then the distance of the point (2, 1, 1) from the plane P 3 is
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