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A line with direction cosin es proportional to 2, 1, 2 meets each of the lines x = y + a = z an d x + a = 2y = 2z . The co-ordinates of each of the points of intersection are given by
  • a)
    (2a, 3a, 3a), (2a,a,a )
  • b)
    (3a, 2a, 3a), (a,a,a)
  • c)
    (3a,2a,3a),(a, a, 2a )
  • d)
    (3a,3a, 3a),(a,a,a )
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A line with direction cosin es proportional to 2, 1, 2 meets each of t...
Let a point on th e lin e x = y + a = z is
(λ, λ - a,λ) and a point on th e lin e x + a = 2 y = 2z
 then direction ratio of the line joining these poin ts are

If it respresents the required line, then

on solving we get λ = 3a, μ = 2a
∴ The required points of intersection are (3a, 3aa,3a) and 
or (3a, 2a, 3a) and (a,a,a)
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A line with direction cosin es proportional to 2, 1, 2 meets each of the lines x = y + a = z an d x + a = 2y = 2z . The co-ordinates of each of the points of intersection are given bya)(2a, 3a, 3a), (2a,a,a )b)(3a, 2a, 3a), (a,a,a)c)(3a,2a,3a),(a, a, 2a )d)(3a,3a, 3a),(a,a,a )Correct answer is option 'B'. Can you explain this answer?
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A line with direction cosin es proportional to 2, 1, 2 meets each of the lines x = y + a = z an d x + a = 2y = 2z . The co-ordinates of each of the points of intersection are given bya)(2a, 3a, 3a), (2a,a,a )b)(3a, 2a, 3a), (a,a,a)c)(3a,2a,3a),(a, a, 2a )d)(3a,3a, 3a),(a,a,a )Correct answer is option 'B'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A line with direction cosin es proportional to 2, 1, 2 meets each of the lines x = y + a = z an d x + a = 2y = 2z . The co-ordinates of each of the points of intersection are given bya)(2a, 3a, 3a), (2a,a,a )b)(3a, 2a, 3a), (a,a,a)c)(3a,2a,3a),(a, a, 2a )d)(3a,3a, 3a),(a,a,a )Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A line with direction cosin es proportional to 2, 1, 2 meets each of the lines x = y + a = z an d x + a = 2y = 2z . The co-ordinates of each of the points of intersection are given bya)(2a, 3a, 3a), (2a,a,a )b)(3a, 2a, 3a), (a,a,a)c)(3a,2a,3a),(a, a, 2a )d)(3a,3a, 3a),(a,a,a )Correct answer is option 'B'. Can you explain this answer?.
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