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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?
  • a)
    The line of intersection of P1 and P2 has direction ratios 1, 2, -1
  • b)
    The line is perpendicular to the line of intersection of P1 and P2
  • c)
    The acute angle between  P1 and P2 is 600
  • d)
    If P3 is the plane passing through the point (4, 2, −2) and perpendicular to the line of intersection of P1 and Pthen  the distance of the point (2, 1, 1) from the plane 
Correct answer is option 'C,D'. Can you explain this answer?
Verified Answer
Let P1:2x + y - z = 3 and P2:x + 2y + z = 2 be two planes. Then, which...
The direction ratios of line of intersection is,

Hence, option (A) is false.
(B) The equation of line is,

The lines are parallel.
Hence, option (B) is false.
(C) The angle between P1 and P2 is,

Hence, option (C) is true.
(D) The equation of line passing through intersection of P1 and P2 is,

If the plane passes through this line, then (4, 2, -2) must satisfy the equation.

The equation of plane is,
x − y +z = 0
The perpendicular distance of point (2, 1, 1) from the plane is,

Hence, option (D) is true.
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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?a)The line of intersection of P1and P2has direction ratios 1, 2, -1b)The lineis perpendicular to the line ofintersection of P1and P2c)The acute angle betweenP1and P2 is 600d)If P3is the plane passing through the point (4, 2, −2) andperpendicular to the line of intersection ofP1and P2then the distance of the point (2, 1, 1) from the planeCorrect answer is option 'C,D'. Can you explain this answer?
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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?a)The line of intersection of P1and P2has direction ratios 1, 2, -1b)The lineis perpendicular to the line ofintersection of P1and P2c)The acute angle betweenP1and P2 is 600d)If P3is the plane passing through the point (4, 2, −2) andperpendicular to the line of intersection ofP1and P2then the distance of the point (2, 1, 1) from the planeCorrect answer is option 'C,D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about 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?a)The line of intersection of P1and P2has direction ratios 1, 2, -1b)The lineis perpendicular to the line ofintersection of P1and P2c)The acute angle betweenP1and P2 is 600d)If P3is the plane passing through the point (4, 2, −2) andperpendicular to the line of intersection ofP1and P2then the distance of the point (2, 1, 1) from the planeCorrect answer is option 'C,D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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?a)The line of intersection of P1and P2has direction ratios 1, 2, -1b)The lineis perpendicular to the line ofintersection of P1and P2c)The acute angle betweenP1and P2 is 600d)If P3is the plane passing through the point (4, 2, −2) andperpendicular to the line of intersection ofP1and P2then the distance of the point (2, 1, 1) from the planeCorrect answer is option 'C,D'. Can you explain this answer?.
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