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Find the equation of a line parallel to x-axis and passing through the origin.

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PSEB-THREE DIMENSIONAL GEOMETRY-Exercise
  1. If l1, m1, n1 and l2, m2, n2 are the direction cosines of two mutually...

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  2. Find the angle between the lines whose direction ratios are a, b, c an...

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  3. Find the equation of a line parallel to x-axis and passing through the...

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  4. If the coordinates of the points A, B, C, D be (1, 2, 3), (4, 5, 7), (...

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  5. If the lines (x-1)/-3 = (y-2)/2k = (z-3)/2 and (x-1)/3k = (y-1)/1 = (z...

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  6. Find the vector equation of the line passing through (1, 2, 3) and per...

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  7. Find the equation of the plane passing through (a, b, c) and parallel ...

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  8. Find the shortest distance between the lines given by the line : vec...

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  9. Find the coordinates of that point when the line passing through two p...

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  10. Find the coordinates of the point where the line through (3, – 4, – 5)...

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  11. Find the equation of the plane passing through the point (-1, 3, 2) an...

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  12. If the points (1, 1, p) and (– 3, 0, 1) be equidistant from the plane ...

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  13. Find the equation of the plane passing through the line of intersectio...

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  14. If O be the origin and the coordinates of P be (1, 2, – 3), then find ...

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  15. Find the equation of the plane which contains the line of intersection...

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  16. Find the distance of the point (-1 , -5 , -10) from the point of inter...

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  17. Find the vector equation of the line passing through (1, 2, 3) and par...

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  18. Find the equations of the straight line passing through the point (1, ...

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  19. Prove that if a plane has the intercepts a, b, c and is at a distance ...

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  20. Distance between the two planes: 2x+3y+4z=4 and 4x+6y+8z = 12 is:

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