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

If `alpha,beta,gamma` are the angles which a line makes with OX,OY and OZ , then `sin^(2)alpha + sin ^(2) beta+ sin^(2) gamma `

A

0

B

-1

C

2

D

1

Text Solution

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The correct Answer is:
C
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NIKITA PUBLICATION-THREE DIMENSIONAL GEOMETRY -MULTIPLE CHOICE QUESTIONS
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  2. Two lines (x-x(i))/(l(i))=(y-y(i))/(m(i))=(z-z(i))/(n(i)), (i=1,2) are...

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  3. If alpha,beta,gamma are the angles which a line makes with OX,OY and O...

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  4. If a line makes angles alpha,beta,gamma with co-ordinate axes, then co...

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  5. If a line makes angles (alpha)/(2), (beta)/(2), (gamma)/(2) with co-o...

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  7. The straight lines whose direction cosines are given by al + bm + cn =...

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  8. If the line vec(OR) makes angles theta(1),theta(2),theta(3) with the ...

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  9. If the line passing through origin makes angles theta(1), theta(2), th...

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  10. If a variable line in two adjacent position has direction cosines l,m,...

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  11. A line makes angles alpha,beta,gammaand deltawith the diagonals of a...

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  12. Find the angle between any two diagonals of a cube.

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  13. A line makes an angle alpha, beta, gamma, delta with the four diagonal...

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  14. If the edges of a rectangular parallelepiped are a,b, c, prove that th...

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  15. If cos alpha=(sqrt(3))/(2), cos gamma=(-1)/(2), then the direction ang...

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  16. If a line makes angles of measure 45^(@) and 60^(@) with the positive ...

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  17. A line makes angles of measures (pi)/(6) and (pi)/(3) with X-and Z-axe...

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  18. If a line is inclined at 60^(@) and 30^(@) with the X-and Y-axes respe...

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  19. If a line makes angles of measure 60^(@) and 45^(@) with OX and OZ, th...

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  20. If a line which makes angle 60^(@) with Y and Z axes, then the angle w...

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