If a line makes angles `alpha,beta,lambda,delta` with the 4 diagonals of a cube then `sin^(2) alpha + sin^(2)beta+sin^(2)lambda+sin^(2)delta`
A
`(4)/(3)`
B
`(8)/(3)`
C
`(7)/(3)`
D
`(5)/(3)`
Text Solution
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The correct Answer is:
B
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If a line makes angles alpha, beta, lambda,delta with the four diagonals of a cube, then show that cos^(2) alpha+cos^(2) beta + cos^(2)lambda+cos^(2)delta=(4)/(3) .