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TS EAMCET · Maths · Three Dimensional Geometry

If the direction ratio of two lines are given by \(l+m+n=0, m n-2 l n+l m=0, \quad\) then the angle between the lines is

  1. A \(\frac{\pi}{4}\)
  2. B \(\frac{\pi}{3}\)
  3. C \(\frac{\pi}{2}\)
  4. D \(0\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(\frac{\pi}{2}\)

Step-by-step Solution

Detailed explanation

Given lines are l + m + n = 0 ...(i) and mn - 2ln + lm = 0 ...(ii) From equation (i) \( l=-(m+n) \) Putting in equation (ii), we get…