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The equation of a plane passing through `(1, 1, 2)` and parallel to `x + y + z - 1 = 0` is_____

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MODERN PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXERCISE
  1. Fill in the blanks in the length of the projection of the line segment...

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  2. The image of the point (6,3,-4) with respect to yz-plane is . [(6,0,-4...

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  3. The equation of a plane passing through (1, 1, 2) and parallel to x + ...

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  4. The distance between the parallel planes 2x - 3y + 6z +1 = 0 and 4x - ...

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  5. Find the equation of the line through (-1,0,1) and perpendicular to th...

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  6. If the line (x-3)/2=(y+k)/(-1)=(z+1)/(-5) lies on the plane 2x-y+z-7 =...

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

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  8. In which condition x + y + z = alpha + beta + gamma will contain the l...

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  9. The angle between the planes x + y + I = 0 and y + z + I = 0 is .

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  10. To which coordinate axis the line x = 1 and y = 2 is parallel.

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

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  12. Write the ratio in which the line segment Joining the points (1, 2, —2...

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  13. What is the distant of the point (4,5,-3) from the y-axis ?

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

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  15. Find the equation of the plane passing through the line of intersectio...

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

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  17. If P (1,y,z) lies on the line through (3,2,-1) and (-4,6,3) find y & z...

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  18. Find the equation of the plane passing through the line of intersectio...

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

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

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