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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 60°
  • d)
    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 
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. T...
(A) Direction ratios of line of intersection are given by

(B) 
(C) Angle between 
(D) P3 : x – y + z = 0
Distance of (2, 1, 1) from the plane = 
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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,– 1b)The lineis perpendicular to the line of intersection of P1 and P2c)The acute angle between P1 and P2 is 60°d)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 isCorrect 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 P1 and P2 has direction ratios 1, 2,– 1b)The lineis perpendicular to the line of intersection of P1 and P2c)The acute angle between P1 and P2 is 60°d)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 isCorrect 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 P1 and P2 has direction ratios 1, 2,– 1b)The lineis perpendicular to the line of intersection of P1 and P2c)The acute angle between P1 and P2 is 60°d)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 isCorrect 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 P1 and P2 has direction ratios 1, 2,– 1b)The lineis perpendicular to the line of intersection of P1 and P2c)The acute angle between P1 and P2 is 60°d)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 isCorrect answer is option 'C,D'. Can you explain this answer?.
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