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MHT CET · Maths · Straight Lines

If a line makes angles 120o and 60o with the positive directions of X and Z axes respectively then the angle made by the line with positive Y- axis is

  1. A 150o
  2. B 60o
  3. C 135o
  4. D 120o
Verified Solution

Answer & Solution

Correct Answer

(C) 135o

Step-by-step Solution

Detailed explanation

cos 2 β=1 cos 2 α cos 2 γ
=1 cos 2 ( 120 o ) cos 2 ( 60 o )
=1 1 4 1 4
=1 1 2
cosβ=± 1 2
β= 135 o ,  45 o