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

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

Find the equation of the plane passing through the point ( 1, -1 , 2) and perpendicular to the planes 2x + 3y - 2z = 5 and x + 2y - 3z = 8.

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

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

Obtain the equation of the plane passing through the point (1,-3,-2) and perpendicular to the plane x+2y+2z=5 and 3x+3y+2z=8 .

Find the equations of the line passing through the point (-4,3,1) perpendicular to the plane x+2y-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 .

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

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 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.

PRADEEP PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXERCISE
  1. Find the cartesian equation of the following planes: vecr.(hati+hatj+h...

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  2. Find the cartesian equation of the following planes: vecr.(2hati-3hatj...

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  3. Find the equations of the line passing through the point (1,-1,2) and...

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  4. Find the equation of the line passing through the point with position ...

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  5. Find the general solution of the following (1+logx)xdy=ydx

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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