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Question

If the line $$\vec{OR}$$ 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


A
1
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B
2
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C
3
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D
4
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Solution

The correct option is A $$1$$
If the line $$\vec{OR}$$ makes angles $$\theta_1, \theta_2, \theta_3$$ with the planes $$XOY, YOZ, ZOX$$ respectively, then $$\cos^2\theta_1+\cos^2\theta_2+\cos^2\theta_3$$ $$=1$$

Mathematics

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