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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.

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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, 3, 2) and perpendicular to each of the planes x + 2y + 3z = 5 and 3x + 3y + z = 0.

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 each of 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 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 - y + 2z = 3 and 3x +2y - z = 4.

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 plane through the point (-1, -1, 2) and perpendicular to the planes 3x + 2y - 3z = 1 and 5x -4y + z = 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 equations of the line passing through the point (-4,3,1) perpendicular to the plane x+2y-z=0 .

MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
  1. The equation of the plane passing through the line of intersection of ...

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  2. The point P is the intersection of the straight line joining the point...

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  3. If the lines (x-2)/1=(y-3)/1=(z-4)/(-k) and (x-1)/k=(y-4)/2=(z-5)/1 ar...

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  4. Distance between two parallel planes 2x+y+2z=8 and 4x+2y+4z+5=0 is

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  5. The image of the line (x-1)/3=(y-3)/1=(z-4)/(-5) in the plane 2x-y+z...

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  6. The angle between the lines whose direction cosines satisfy the equa...

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  7. The distance of the point (1,0,2) from the poitn of intersection of th...

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  8. The equation of the plane containing the line 2x-5y+z=3, x+y+4z=5 and ...

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  9. If the line, (x-3)/2=(y+2)/(-1)=(z+4)/3 lies in the place, l x+m y-z=9...

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  10. The distance of the point (1, -5, 9) from the plane x-y+z=5 measured a...

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  11. If a line has direction ratios <2,-1,-2>, then what are its direction ...

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  12. Find the Cartesian equation of the following plane: vecr cdot (hati+ha...

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

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  14. Find the area of the triangle whose vertices are : A(1,2,3), B(2,-1,4)...

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  15. Find the equations of the straight line passing through the point (2,...

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  16. Find the image of the point (1,6,3) in the line : x/1=(y-1)/2=(z-2)/3.

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

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  18. Prove that if a plane has intercepts a,b,c and is at a distance of p u...

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  19. A line makes angles alpha, beta, gamma, delta with the diagonals of a ...

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  20. Show that the lines (x-a+d)/(alpha-delta) = (y-a)/alpha = (z-a-d)/(alp...

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