ID: Class: 12 Subject: Math Topic: Three Dimensional Geometry Type: Mcq Year: 2024

Question:

If \(\alpha\), \(\beta\) and \(\gamma\) are the angles which a line makes with positive directions of x, y and z axes respectively, then which of the following is not true?
  • A. \(cos^{2}\alpha+cos^{2}\beta+cos^{2}\gamma=1\)
  • B. \(sin^{2}\alpha+sin^{2}\beta+sin^{2}\gamma=2\)
  • C. \(cos~2\alpha+cos~2\beta+cos~2\gamma=-1\)
  • D. \(cos~\alpha+cos~\beta+cos~\gamma=1\)