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A ray makes angles pi//3, pi//3 with bar...

A ray makes angles `pi//3, pi//3` with `bar(OX) and bar(OY)` respectively. Find the angle made by it with `bar(OZ)`

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The correct Answer is:
`(pi)/(4)or(3pi)/(4)`
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AAKASH SERIES-DIRECTION COSINES & RATIOS-EXERCISE - 6 (VERY SORT ANSWER QUESTIONS)
  1. If the d.c's of a line are (1//c,1//c,1c) then find c.

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  2. If the dirction cosines of a line are ((1)/(2) ,0,n) and n lt 0, then ...

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  3. A ray makes angles pi//3, pi//3 with bar(OX) and bar(OY) respectively....

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  4. A straight line is inclined to the axes of x and y at angles of 60^(@)...

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  5. If alpha, beta, gamma are the angles made by a line with the positive ...

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  6. If a line makes angles alpha,beta,lambda with the coordinate axes vec...

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  7. Find the d.c's of a line that makes equal angles with the axes, and fi...

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  8. Find the direction ratios of the line joining the points (3,4,0) and (...

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  9. The direction ratios of a line are (-6,2,3) Find its direction cosines...

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  10. If the direction ratios of a line are (3,4,0) find its direction cosin...

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  11. If P(sqrt(3),1,2sqrt(3)) is a point in space, find direction cosines ...

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  12. Find the direction cosines of the line joining the points (-4,1,7),(2,...

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  13. If P(-2,4,-5) and Q(1,2,3) are two points. Find the direction cosines ...

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  14. Find the conine of the angle between the lines whose direction cosines...

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  15. Find the angle between the lines whose direction ratios are (1,1,2)(sq...

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  16. Show that the lines with direction cosines ((12)/(13),(-3)/(13),(-4)/(...

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  17. Find 'x' if the angle between he lines with direction ratios (x,4,5) a...

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  18. O is the origin, P(2,3,4) and Q(1,k,1) are points such that bar(OP)bot...

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  19. Find the angle between bar(DC) and bar(AB) where A = (3,4,5), B = (4,6...

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  20. Show that the lines bar(PQ) and bar(RS) are parallel where P,Q,R,S are...

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