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In which condition x + y + z = alpha + b...

In which condition `x + y + z = alpha + beta + gamma` will contain the line `(x - alpha) / l= (y- beta)/m = (z- gamma )/n ` .

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clearly (alpga, beta, gamma) lies on the Plane. Theirfore The required condition is I + m + n = O.
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MODERN PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXERCISE
  1. If the line (x-3)/2=(y+k)/(-1)=(z+1)/(-5) lies on the plane 2x-y+z-7 =...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. Writing the equation of the plane 3x-2y+z+2=0 in normal form find its ...

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  18. A variable plane moves in such a way that the sum of the reciprocals o...

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  19. In each of the following case, verift whether the four given points ar...

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  20. Find the points of intersection of the line (x-1)/1=(y+2)/ 3 =(z-1)/(...

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