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If a line makes angles alpha,beta,lambda...

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

Verified by Experts

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) .