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Find the co-ordinates of the point where...

Find the co-ordinates of the point where the line through (3, -4, -5) and (2, -3, 1)
crosses the plane 2x+y+z=7.

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Find the eqauation of the plane through the points (2, 1, -1) and (-1, 3, 4) and perpendicualr to the plane x-2y+4z=10.

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V PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. Find the co-ordinates of the point where the line through (5,1,6) and ...

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  2. Find the coordinates of the point where the line through (5, 1, 6) ...

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  3. Find the co-ordinates of the point where the line through (3, -4, -5) ...

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

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  5. If the points (1,1,p) and (-3,0,1) be equidistant from the plane vecr....

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

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  7. If O be the origin and the co-ordinates of P be (1,2,-3), then find th...

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  8. Find the equation of the plane which contains the line of intersectio...

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  9. Find the distance of the point (-1,-5,-10) from the point of intersecț...

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

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  11. Find the vector equation of the line passing through the point (1,2,-4...

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  12. Prove that if a plane has the intercepts a, b, c and it is at a distan...

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  13. Distance between the two planes: '2 x+3 y+4 z=4' and '4 x+6 y+8 z=(12)...

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  14. The planes '2 x-y+4 z=5' and '5 x-2.5 y+10 z=6' are

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  15. Can a line have direction angles 45^circ, 60^circ, 135^circ?

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  16. A line makes angles of 45^circ and 60^circ with the positive axes of X...

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  17. Find the direction cosine of a line which makes equal angles with the...

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  18. 1, '-2,-2' are direction ratios of a line. What are its direction cosi...

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  19. Find d.c.'s of the line passing through the points 'P(4,3,-5)' and 'Q(...

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  20. A line passes through the points (6,-7,-1) and (2,-3,1) Find the direc...

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