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

Find the co-ordinates of the point where the line through (5,1,6) and (3,4,1)
crosses the YZ plane

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Find the co-ordinates of the point where the line through (5,1,6) and (3,4,1) crosses the ZX plane

Find the coordinates of the points where the line through (3,-4,-5) and (2,-3,1) crosses the plane,passing through the point (2,2,1)(3,0,1) and (4,-1,0).

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.

Find the equation of the line through (5,-1) and (6,4).

Find the co-ordinates of the point which divides the line joining the points (-3,4) and (-1,-2) in the ratio l : m

Find the slope of the line passing through (-1,4) and (0,6)

Find the slope of the line through the points (5,-1) and (6,4).

Find the co-ordinates of the points which trisect the line segment joining the points P(4,0,1) and Q(2,4,0) .

Consider the points P (3,4,-5) and Q (1,-2,3).Find the co-ordinates of the point which divides the join of P and Q in the ratio a)1:2 internally b)3:2 externally

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V PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. Find the equation of the plane passing through (a ,b ,c) and parallel ...

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  2. Find the shortest distance between the lines vecr = 6hati+2hatj+2hatk+...

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  3. Find the co-ordinates of the point where the line through (5,1,6) and ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  20. 1, '-2,-2' are direction ratios of a line. What are its direction cosi...

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