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Find the equation of the plane passing through the point (1,1,-1) and perpendicular to each of the planes : `x+2y+3z-7=0 and 2x-3y+4z=0`

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Find the equation of the plane passing through the point (-1, 3, 2) and perpendicular to each of the planes : x + 2y + 3z = 5 and 3x + 3y + z = 0 .

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

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

Find the equation of the plane passing through the point(-1, 3, 2) and perpendicular to the planes x + 2y + 3z = 5 and 3x + 3y + z = 0.

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

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MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
  1. Find the equation of the plane passing through the points (2,2,1), (9,...

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  2. Find the equation of the plane passing through the point ( 1, -1 , 2) ...

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  3. Find the equation of the plane passing through the point (1,1,-1) and ...

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

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  5. The distance of the point P(-2, 3, -4) from the line (x+2)/(3)=(2y+3)/...

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  6. Find the ratio in which the line segment joining : (2,1,5) and (3,4,3)...

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  7. Find the ratio in which the line segment joining : (1,2,3) and (-3,4,-...

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

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  9. Find the image of the point : (3,-2,1) in the plane 3x-y+4z=2

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  10. Find the image of the point : (1,2,3) in the plane 3x+2y+z=24

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  11. Find the image of the point : (2,-1,3) in the plane 3x-2y-z=9

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  12. Find the co-ordinates of the foot of perpendicular drawn from the poin...

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  13. The foot of the perpendicular drwan from origin to a plane is (4,-2,5)...

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  14. The foot of the perpendicular drwan from origin to a plane is (4,-2,5)...

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  15. The foot of the perpendicular drwan from origin to a plane is (4,-2,5)...

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  16. Find the co-ordinates of the foot of the perpendicular distance of the...

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  17. Find the length and the foot of the perpendicular from the point (7, 1...

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

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

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

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