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Find the equation of the plane through the point (1,4,-2) and parallel to the plane `2x-y+3z+7=0`.

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Find the equation of the line passing through the point (3,0,1) and parallel to the planes x+2y=0 and 3y-z=0.

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Find the equations of the line passing through the point (1, 2, -3) and parallel to the planes x + y -2z = 2 and 3x - 2y + z = 4.

Find the equation of the plane through the point (1,1,1) and perpendicular to the plane x-2y+z=3,4x+3y-z=5 .

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PRADEEP PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXERCISE
  1. Find the equation of the plane passing through the point (3,-3, 1) and...

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  2. Find the equation of a plane which bisects perpendicularly the line se...

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  3. Find the equation of the plane through the point (1,4,-2) and parallel...

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  4. If the line drawn from (4,-1,2) to the point (-3,2,3) meets a plane at...

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  5. Find the equation of the plane through (1,5,-2) and parallel to the pl...

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  6. The position vectors of two points A and B are 3 hati+hatj+2hatk and h...

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  7. Find the vector equations of the line passing through the point (1,-1,...

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  8. Find the vector equation of the line through the origin, which is perp...

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  9. The vector equation of a plane is vecr.(2hati+2hatj-hatk)=21, find the...

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  10. Find the vector equation of a plane which is at a distance of 5 units ...

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  11. Find the vector equation of a line passing through the point with posi...

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  12. The foot of perpendicular drawn from the origin to a plane is (12,-4,-...

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  13. The foot of perpendicular drawn from the origin to a plane is (2,5,7)....

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  14. O is the origin and A is (a,b,c). Find the d.c. of OA and the equation...

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  15. Find the equation of the plane whose intercepts on the axes are 3,4,5 ...

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  16. Find the equation of the plane passing through the point (2,4,6) and m...

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

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  18. A plane meets the coordinates axes in A, B and C such that the centroi...

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  19. Find the intercepts made by the plane 2x-3y+5z+4=0 on the co-ordinate ...

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  20. Change to normal form the plane 2x-3y+6z+4=0

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