Home
Class 12
MATHS
A line makes an angle alpha, beta, gamma...

A line makes an angle `alpha, beta, gamma, delta` with the four diagonals of a cube, then `sin^(2)alpha+sin^(2)beta+sin^(2)gamma+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
Promotional Banner

Similar Questions

Explore conceptually related problems

If a line makes alpha,beta,gamma,delta angles with four diagonals of a cube, then cos2alpha+cos2beta+cos2gamma+cos2delta =

If a line makes angles alpha , beta ,gamma with coordinate axes , then sin ^2 alpha +sin^2 beta + sin^2 gamma ………

If alpha + beta - gamma =pi, then sin ^(2) alpha + sin^(2) beta- sin ^(2) gamma=

If alpha+beta-gamma=pi , then sin^2alpha+sin^2beta-sin^2gamma=

A line makes angles alpha,beta,gamma with co-ordinates axes. If alpha+beta=90^(@) then gamma is equal to

If alpha+beta+gamma=2pi then

If a line makes angles (alpha)/(2), (beta)/(2), (gamma)/(2) with co-ordinate axes, then cos alpha+cos beta+cos gamma=

If a line makes angles alpha,beta,gamma with co-ordinate axes, then cos2alpha+cos 2 beta+cos2gamma= a) -2 b) -1 c) 1 d) 2

If alpha,beta,gamma are direction angles of a line, then