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TS EAMCET · Maths · Three Dimensional Geometry

The acute angle between the two lines whose direction ratios are given by \(l+m-n=0\) and \(l^2+m^2-n^2=0\), is

  1. A \(0\)
  2. B \(\frac{\pi}{6}\)
  3. C \(\frac{\pi}{4}\)
  4. D \(\frac{\pi}{3}\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(\frac{\pi}{3}\)

Step-by-step Solution

Detailed explanation

Given that \[ l+m-n=0 \] and \[ l^2+m^2-n^2=0 \] From equaion (i) \(l=-(m-n)\) Putting in equation (ii), we get…