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Find the co-ordinates of the point P, wh...

Find the co-ordinates of the point P, where the line through A(3,-4,-5) and B(2,-3,1) crosses the plane passing through three points L(2,2,1), M(3,0,1) and N(4,-1,0). Also, find the ratio in which P divides the line segment AB.

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MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
  1. Find the length and the foot of the perpendicular from the point (7, 1...

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  2. Find the distance of the point P(1,2,3) from its image in the plane x+...

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

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  4. A variable plane which remains at a constant distance 3p from the orig...

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  5. A variable plane which remains at a constant distance 3p from the orig...

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  6. A variable plane is at a constant distance 4p from the origin and cuts...

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  7. A variable plane which remains at a constant distance p from the origi...

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  8. A variable plane passes through a fixed point a,b,c and meet the co-or...

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  9. A variable plane moves so that the sum of reciprocals of its intercept...

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  10. Show that the sum of the reciprocals of the intercepts on rectangular ...

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  11. Find the equations of the bisector planes of the angle between the pla...

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  12. In the following case, determine whether the given planes are parallel...

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  13. In the following case, determine whether the given planes are parallel...

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  14. In the following case, determine whether the given planes are parallel...

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  15. ਪIn the following case, determine whether the given planes are paralle...

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  16. In the following case, determine whether the given planes are parallel...

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  17. What is the point of intersection of the line x=y=z with the plane x+2...

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  18. Find the angle between the lines in which the planes: 3x-7y-5z=1, 5x-1...

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  19. Show that the line , vecr=2hati-3hatj+5hatk+lambda(hati-hatj+2hatk) li...

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  20. Show that the line , vecr=hati+hatj+lambda(2hati+hatj+4hatk) lies in t...

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