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A line makes the some angle theta with e...

A line makes the some angle `theta` with each of the `x` and z-axes. If the angle `beta`, which it makes with y-axis, is such that `sin^(2)beta=3sin^(2)theta` then `cos^(2)theta` equals

A

`(4)/(5)`

B

`(2)/(5)`

C

`(3)/(5)`

D

`(9)/(5)`

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. If alpha,beta, gamma are the direction angles of a vector and cos alph...

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  3. A line makes the some angle theta with each of the x and z-axes. If t...

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  4. If the direction cosines of a line are p,-p, (-p)/(2), then p =

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  5. If 1/2,1/3,n are direction cosines of a line, then the value of n is

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  6. If (1)/(sqrt(2)),(1)/(2), n are the direction consines of a line, then...

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  7. Line with direction ratios 1, 1, 1 is

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  8. If A(3, 5, -4), B(-1, 1, 2) and C(-5, -5, -2) are the vertices of Delt...

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  9. If A(3, 5, -4), B(-1, 1, 2) and C(-5, -5, -2) are the vertices of Delt...

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  10. If A(3, 5, -4), B(-1, 1, 2) and C(-5, -5, -2) are the vertices of Delt...

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  11. If A(3, 5, -4), B(-1, 1, 2) and C(-5, -5, -2) are the vertices of Delt...

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  12. Which of the following is true ?

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  13. Which of the following represents direction consines of the line ?

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  14. Which of the triplet can not represent direction cosines of a line ?

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  15. If P-=(3, 4, -12), then the direction cosines of bar(OP) are

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  16. The direction cosine of vector 3 hati+4hatj+5hatk in the direction of...

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  17. If the vector 2 hati-3hatj+7 hatk makes angles alpha, beta, gamma with...

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  18. The position vectors of points A and B are hati+3hatj-7 hatk and 5hati...

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  19. The direction cosines of a line parallel to the line (x+1)/(2)=(y)/(-...

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  20. The line joining the points -2,1,-8)a n d(a ,b ,c) is parallel to t...

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