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

Find the co-ordinates of the point where the line joining the points (1,-2,3) and (2,-1,5) cuts the plane `x-2y+3z=19`. Hence, find the distance of this point from the point (5,4,1).

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

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Find the co-ordinates of the mid-point of the join of the points A (3, 5, 7) and B(-3,-3, 1).

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

Find the co-ordinates of the point which divides the line segment joining the points (-2,3,5) and (1,-4,6) in the ratio. 2 : 3 Internally

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MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
  1. Find the length of the perpendicular from the point (1,2,3) to the lin...

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  2. Find the point, where the line joining the points (1,3,4) and (-3,5,2)...

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  3. Find the co-ordinates of the point where the line joining the points (...

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  4. Find the equation of the plane passing through the point (1,1,1) and c...

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  5. Find the equation of the plane passing through the points (1,2,1) and ...

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  6. Find the vector equation of the plane passing through three points wit...

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  7. A line makes 90^@, 135^@, 45^@ with x, y and z axes respectively than ...

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

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  9. If a line has the direction ratios –18, 12, – 4, then what are its dir...

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  10. Show that the points (2, 3, 4), (– 1, – 2, 1), (5, 8, 7) are collinear...

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  11. Find the direction cosines of the sides of the triangle whose vertices...

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  12. show that the three lines with direction cosines <12/13,-3/13,-4/13>, ...

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  13. Show that the line through the points (1, – 1, 2), (3, 4, – 2) is perp...

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  14. Show that the line through the points : (4,7,8), (2,3,4) is parallel t...

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  15. Find the equation of the line which passes through the point (1, 2, 3)...

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  16. Find the equation of the line in vector and in cartesian form that pas...

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  17. Find the cartesian equation of the line which passes through the point...

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  18. The cartesian equation of a line is (x-5)/3 = (y+4)/7 = (z-6)/2. Write...

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  19. Find the vector and the cartesian equations of the lines that passes t...

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  20. Find the vector and the cartesian equations of the line that passes th...

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