Mathematics · Three Dimensional Geometry
Given below are two statements, one labeled as Assertion (A) and the other labeled as Reason (R): Assertion (A): If a line makes angles α, β, γ with the positive direction of the coordinate axes, then sin2α + sin2β + sin2γ = 2. Reason (R): The sum of squares of the direction cosines of a line is 1. Choose the correct answer from the options below:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1(A) is false, but (R) is true.
- 2(A) is true, but (R) is false.
- 3Both (A) and (R) are true, but (R) is not the correct explanation of (A).
- 4Both (A) and (R) are true and (R) is the correct explanation of (A).✓
Correct answer
Both (A) and (R) are true and (R) is the correct explanation of (A).
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