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Write the ratio in which the line segmen...

Write the ratio in which the line segment Joining the points (1, 2, —2) and (4, 3, 4) is divided by the `xy — plane`.

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MODERN PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXERCISE
  1. To which coordinate axis the line x = 1 and y = 2 is parallel.

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  2. Find the number of points (x, y, z) in space other than the point (1,-...

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  3. Write the ratio in which the line segment Joining the points (1, 2, —2...

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  4. What is the distant of the point (4,5,-3) from the y-axis ?

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  5. Find the equation of the plane Paralel to the plane 2x-y+3z+1=0 and at...

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

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  7. Bisecting the line segment joining (-1,4,3) and (5,-2,-1) at right ang...

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  8. If P (1,y,z) lies on the line through (3,2,-1) and (-4,6,3) find y & z...

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

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

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  11. Bisecting the line segment joining (-1,4,3) and (5,-2,-1) at right ang...

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  12. Find the equation of the plane Paralel to the plane 2x-y+3z+1=0 and at...

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  13. Writing the equation of the plane 3x-2y+z+2=0 in normal form find its ...

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  14. A variable plane moves in such a way that the sum of the reciprocals o...

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  15. In each of the following case, verift whether the four given points ar...

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  16. Find the points of intersection of the line (x-1)/1=(y+2)/ 3 =(z-1)/(...

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  17. Find the angle between the plane x+y+4=0 and the line (x+3)/2=(y-1)/1=...

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  18. If the edges of a rectangular parallelopiped are of lengths a, b, c, t...

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  19. Find the equation of the bisector planes of the angles between the pla...

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  20. A variable plane meets the coordinate axes at P, Q, R points. If the p...

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