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

If a line makes angles `alpha,beta,gamma` respectively with positive directions of the coordinate axes, then the value of `cos^(2)alpha+cos^(2)beta+cos^(2)gamma=1`.

A

2

B

1

C

0

D

none of these

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PRADEEP PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXERCISE
  1. The distance of a point P(a,b,c) from x axis is:

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  2. If the direction cosine of a line are < k,k,k >, then,

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  3. If a line makes angles alpha,beta,gamma respectively with positive dir...

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  4. Distance of the point (alpha, beta,gamma) from y-axis is

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  5. The co-ordinates of foot of the perpendicular drawn from the point (2,...

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  6. The equation of x-axis is of the form

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  7. A set of D.R of the line vecr=(hati+hatj+hatk)+1(2hati+3hatj+6hatk)are

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  8. If alpha, beta, gamma are the angles that a line makes with the positi...

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  9. P is a point on the line segment joining the points (3, 2, -1) and (6,...

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  10. The shortest destance between vecr = veca1 + lambdavecb and vecr = vec...

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  11. The area of the quadrilateral ABCD, where A 0,4, 1), B (2, 3, -1), C (...

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  12. The line x=1, y=2 is

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  13. The distance between the planes 3x+2y-6z=14=0 and 3x+2y-6z+21=0 is

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  14. The line (x-x1)/0=(y-y1)/1=(z-z1)/2 is

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  15. The line (x-x1)/0=(y-y1)/1=(z-z1)/2 is

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  16. The locus represented by x y + yz=0 is

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  17. The line (x-x1)/a=(y-y1)/b=(z-z1)/c is at right angles to the plane Ax...

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  18. The line (x-x1)/a=(y-y1)/b=(z-z1)/c is parallel to the plane Ax+By+Cz+...

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  19. The lines vecr=a1+tvecv1 and vecr=a2+svecv2 lie in a plane (vecv1xxvec...

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  20. If the projections of vec(PQ) on OX, OY and OZ are respectively 12,4,a...

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