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If a line makes angles 90o," "135o," ...

If a line makes angles `90o," "135o," "45o` with the x, y and z-axes respectively, find its direction cosines.

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The correct Answer is:
`lt 0, (1)/(sqrt(2)), (1)/(sqrt(2)) gt`
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MODERN PUBLICATION-THREE DIMENSIONAL GEOMETRY -OBJECTIVE TYPE QUESTIONS (D. VERY SHORT ANSWER TYPE QUESTIONS )
  1. If a line makes angles 90o," "135o," "45o with the x, y and z-axes ...

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  2. If a line has direction-cosines lt (-9)/(11), (6)/(11), (-2)/(11)gt , ...

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  3. Write the direction-cosines of the line joining the points (1, 0, 0...

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  4. If alpha, beta, gamma be angles which a straighat line makes with the ...

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  5. The ratio in which the line joining the points (a , b , c)a n d\ (-a ,...

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  6. If a line makes angle 90^(@) and 60^(@) respectively with positively d...

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  7. Find the direction-cosines of the line (x - 1)/(2) = - y = (z + 1)/...

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  8. Write the vector equation of the line : (x - 5)/(3) = (y + 4)/(7) = ...

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  9. The cartesian equations of line is : (x - 1)/(2) = (y - 2)/(3) = (z ...

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  10. Find the vector equation of the line which passes through the point (3...

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  11. Find the length of the perpendicular drawn from the point P (3, -4, 5)...

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  12. The equation of a line given by (4-x)/3=(y+3)/3=(z+2)/6dot Write the d...

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  13. Find the cartesian equation of the line which passes through the poin...

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  14. Find the acute angle between the plane : vec(r). (hati - 2hatj - 2 h...

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  15. Write the equation of the plane passing through (a , b , c) and parall...

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  16. Write the intercept cut off by the plane 2x+y-z=5 on x-axis.

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  17. Find the vector equation of a plane which is at a distance of 5 units...

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  18. Find the vector equations of the plane whose cartesian form of equatio...

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  19. Find the cartesian equation of the plane vec(r). (2 hati + 3 hatj - 4 ...

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  20. What are the direction-cosines of the normal to the plane 3x + 2y - 3z...

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