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If the line $\overrightarrow{\mathrm{OR}}$ makes angles $\theta_{1}, \theta_{2}, \theta_{3}$ with the planes XOY, YOZ, ZOX respectively, then $\cos ^{2} \theta_{1}+\cos ^{2} \theta_{2}+\cos ^{2} \theta_{3}$ is equal to
MathematicsThree Dimensional GeometryMHT CETMHT CET 2009
Options:
  • A 1
  • B 2
  • C 3
  • D 4
Solution:
1121 Upvotes Verified Answer
The correct answer is: 1
If line $\overrightarrow{\text { OR }}$ makes angles $\theta_{1}, \theta_{2}, \theta_{3}$ with the planes XOY, YOZ, ZOX respectively, then $\cos ^{2} \theta_{1}+\cos ^{2} \theta_{2}+\cos ^{2} \theta_{3}=1$

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