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The x, co-ordinate of a point on the lin...

The x, co-ordinate of a point on the line joining the points Q (2, 2, 1) and R (5, 1, - 2) is 4. Find its z-co-ordinate

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A point R with x-co-ordinate 4 lies on the line segment joining the points P(2,-3,4) and Q(8,0,10). Find the co-ordinate of the point R.

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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 distance of the point (1,2,3) from the line joining the points (-1,2,5) and (2,3,4).

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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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MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
  1. Find the Distance between the two planes 2x+3y+4z=4 and 4x+6y+8z=12

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

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  3. The x, co-ordinate of a point on the line joining the points Q (2, 2, ...

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

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  5. Find the equation of a plane which is at a distance 3sqrt3 units from ...

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  6. Find the equation of the two lines through the origin which intersect ...

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  7. The plane ax+by=0 is rotated through an angle alpha about its line of ...

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  8. Show that the sequence t n defined by t n = 3 n + 1 is an AP.

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  9. Prove that the lines, whose direction cosines are given by al+bm+cn=0,...

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  10. Prove that the lines, whose direction cosines are given by al+bm+cn=0,...

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  11. Using converse of Basic Proportionality theorem prove that the line jo...

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  12. Verify that <(l1+l2+l3)/sqrt3,(m1+m2+m3)/sqrt3,(n1+n2+n3)/sqrt3> can b...

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

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  14. The two lines x=ay+b, z=cy+d and x=a'y+b', z=c'y+d' are perpendicular ...

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  15. Prove that the line joining the points vec(6a)-vec(4b)+vec(4c) and -ve...

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

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

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  18. Find the co-ordinates of the points where the line through the points ...

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  19. Show that the equation of the plane passing through a point having pos...

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  20. Find the distance of the point (2,1,0) from the plane 2x+y+2z+5=0.

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