JEE Exam  >  JEE Questions  >  The plane through the intersection of the pla... Start Learning for Free
The plane through the intersection of the planes x + y + z = 1 and 2x + 3y-z + 4 = 0 and parallel to y-axis also passes through the point :
  • a)
    (–3, 0, –1)
  • b)
    (3, 3, –1)
  • c)
    (3, 2, 1)
  • d)
    (–3, 1, 1)
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The plane through the intersection of the planes x + y + z = 1 and 2x ...
Equation of plane
(x + y + z – 1) + λ(2x + 3y – z + 4) = 0
⇒ (1 + 2λ)x + (1 + 3λ)y + (1 – λ)z – 1 +4λ = 0
dr's of normal of the plane are
1 + 2λ, 1+ 3λ, 1 – l
Since plane is parallel to y - axis, 1 + 3λ = 0
⇒ λ = –1/3
So the equation of plane is
x + 4z – 7 = 0
Point (3, 2, 1) satisfies this equation
Hence Answer is (3)
Explore Courses for JEE exam
The plane through the intersection of the planes x + y + z = 1 and 2x + 3y-z + 4 = 0 and parallel to y-axis also passes through the point :a)(–3, 0, –1)b)(3, 3, –1)c)(3, 2, 1)d)(–3, 1, 1)Correct answer is option 'C'. Can you explain this answer?
Question Description
The plane through the intersection of the planes x + y + z = 1 and 2x + 3y-z + 4 = 0 and parallel to y-axis also passes through the point :a)(–3, 0, –1)b)(3, 3, –1)c)(3, 2, 1)d)(–3, 1, 1)Correct answer is option 'C'. 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 The plane through the intersection of the planes x + y + z = 1 and 2x + 3y-z + 4 = 0 and parallel to y-axis also passes through the point :a)(–3, 0, –1)b)(3, 3, –1)c)(3, 2, 1)d)(–3, 1, 1)Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The plane through the intersection of the planes x + y + z = 1 and 2x + 3y-z + 4 = 0 and parallel to y-axis also passes through the point :a)(–3, 0, –1)b)(3, 3, –1)c)(3, 2, 1)d)(–3, 1, 1)Correct answer is option 'C'. Can you explain this answer?.
Solutions for The plane through the intersection of the planes x + y + z = 1 and 2x + 3y-z + 4 = 0 and parallel to y-axis also passes through the point :a)(–3, 0, –1)b)(3, 3, –1)c)(3, 2, 1)d)(–3, 1, 1)Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of The plane through the intersection of the planes x + y + z = 1 and 2x + 3y-z + 4 = 0 and parallel to y-axis also passes through the point :a)(–3, 0, –1)b)(3, 3, –1)c)(3, 2, 1)d)(–3, 1, 1)Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of The plane through the intersection of the planes x + y + z = 1 and 2x + 3y-z + 4 = 0 and parallel to y-axis also passes through the point :a)(–3, 0, –1)b)(3, 3, –1)c)(3, 2, 1)d)(–3, 1, 1)Correct answer is option 'C'. Can you explain this answer?, a detailed solution for The plane through the intersection of the planes x + y + z = 1 and 2x + 3y-z + 4 = 0 and parallel to y-axis also passes through the point :a)(–3, 0, –1)b)(3, 3, –1)c)(3, 2, 1)d)(–3, 1, 1)Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of The plane through the intersection of the planes x + y + z = 1 and 2x + 3y-z + 4 = 0 and parallel to y-axis also passes through the point :a)(–3, 0, –1)b)(3, 3, –1)c)(3, 2, 1)d)(–3, 1, 1)Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice The plane through the intersection of the planes x + y + z = 1 and 2x + 3y-z + 4 = 0 and parallel to y-axis also passes through the point :a)(–3, 0, –1)b)(3, 3, –1)c)(3, 2, 1)d)(–3, 1, 1)Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice JEE tests.
Explore Courses for JEE exam

Top Courses for JEE

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev