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Find the equation of the plane passing t...

Find the equation of the plane passing through the line of intersection of the planes `2x+3y-z+1= 0` and `x+y-2z+3= 0`, which is perpendicular to `3x-y-2z-4=0` .

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MODERN PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXERCISE
  1. Bisecting the line segment joining (-1,4,3) and (5,-2,-1) at right ang...

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

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

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

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

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

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

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

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

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

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  11. Find the angle between the plane x+y+4=0 and the line (x+3)/2=(y-1)/1=...

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

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  13. Find the equation of the bisector planes of the angles between the pla...

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  14. A variable plane meets the coordinate axes at P, Q, R points. If the p...

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  15. Find the equation of the straight line perpendicular to the line (x-2)...

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  16. Find the distance of the point (1,-2,3) from the plane x-y+z=5, measur...

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  17. Prove that the lines frac[x+3][2]=frac[y+5][3]=frac[z-7][-3] and frac[...

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  18. Find the equation of the image of the line (x - 1)/2 = (y + 2)=( z - 1...

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  19. Find the shortest distance between the lines  (x-8)/(3) = (y+9)/(-16) ...

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  20. Find the equation of the straight line perpendicular to the line (x-2)...

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