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A line line makes the same angle theta w...

A line line makes the same 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

`2/3`

B

`1/5`

C

`3/5`

D

`2/5`

Text Solution

Verified by Experts

The correct Answer is:
C
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ML KHANNA-CO-ORDINATE GEOMETRY OF THREE DIMENSION-PROBLEM SET (1)
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  6. The points A(1,- 6,10), B(-1, -3,4), C(5, - 1,1) and D(7,-4,7) are the...

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  7. A straight line which makes an angle of 60^@ with each of Y and Z-axis...

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  8. If a line makes an angle (pi)/(4) with the positive directions of each...

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  9. A line passes through the point (6, -7, -1) and (2, -3, 1). The direct...

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  10. If P is a point in space such that OP is inclined to OX at 45^(@) and ...

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  11. The projections of a line segment on the coordinate axes are 12,4,3 re...

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  13. If (a,b,c) and (a^('),b^('),c^(') ) are the direction ratios of two pe...

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