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If alpha, beta, gamma are the angles whi...

If `alpha, beta, gamma` are the angles which a line makes with the coordinate axes ,then (A) `sin^2alpha=cos^2beta+cos^2gamma` (B) `cos^2alpha+cos^2beta+cos^2gamma=2` (C) `cos^2alpha+cos^2beta+cos^2gamma=1` (D) `sin^2alpha+sin^2beta=1+cos^2gamma`

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Knowledge Check

  • If a line makes angles a, p and y with the coordinate axes, then cos2alpha+cos2beta+cos2gamma is

    A
    `-1`
    B
    `-2`
    C
    2
    D
    `-3`

  • If a line makes angles alpha,beta,gamma with co-ordinate axes, then cos2alpha+cos 2 beta+cos2gamma=

    A
    0
    B
    -1
    C
    2
    D
    1

  • If alpha +beta = gamma , then cos^(2) alpha + cos^(2) beta + cos^(2) gamma =

    A
    `1+ 2 sin alpha sin beta sin gamma`
    B
    `1+2 cos alpha cos beta cos gamma`
    C
    `1-sin alpha sin beta cos gamma`
    D
    `1-cos alpha cos beta cos gamma `

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