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Find the equation of the plane which pa...

Find the equation of the plane which passes through (1, 1, 2) and parallel to the plane x + 2y - z = 5.

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SHARAM PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXAMPLE
  1. The angle between the plane 3x+3z-5=0 and the line (x-1)/1=(y-2)/-1=(z...

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  2. Find the equation of the plane passing through the line x = y = z and ...

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  3. Find the equation of the plane which passes through (1, 1, 2) and par...

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  4. Bisecting the line segment joining (-1,4,3) and (5,-2,-1) at right ang...

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  5. Find the distance between the parallel planes 3x - 2y + 6z - 7 = 0 and...

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  6. Find the number of points (x, y, z) in space other than the point (1,-...

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  7. Write the equation of the plane passing through (3,-6,-9) and parallel...

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  8. Find the equation of the plane passing through the points (-2, 3, 5), ...

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  9. Find the equation of the plane Paralel to the plane 2x-y+3z+1=0 and at...

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  10. Passing throughthe point (2,-3,1) and (-1,1-7) and perpendicular to th...

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  11. Write the axis to which the plane by+cz+d=0 is parallal.

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  12. Find the shortest distance between the lines (x-1)/(2) = (y-2)/(3) =...

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  13. Find the equation of the plane which contains the line of intersection...

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  14. Prove that the lines (x + 3)/(2) = (y + 5)/(3) = (z - 7)/(-3) and (x +...

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  15. Prove that the four points (0, 4, 3), (-1, -5, -3), (-2, -2, 1) and (1...

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  16. Find the distance from the line x/2 = y/3 = z/1 to the point (4, 5, 2)...

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  17. A variable plane is at a constant distance 3r from the origin and meet...

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  18. If the edges of a rectangular parallelopiped are of lengths a, b, c, t...

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  19. If l1,m1,n1andl2,m2,n2 are the direction cosines of two mutually perpe...

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  20. Find the image of the point (2, 3, 4) with respect to the plane x - y ...

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