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Show that the equation of the plane thro...

Show that the equation of the plane through the line `x/l=y/m=z/n` and perpendicular to the plane containing non perpendicular lines `x/m=y/n=z/l` and `x/n=y/l=z/m` is` (m-n)x+(-l)y+(l-m)z=0`.

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Equation of the plane containing the straight line x/2=y/3=z/4 and perpendicular to the plane containing the straight lines x/3=y/4=z/2 and x/4=y/2=z/3 is :

Find the equation of the plane passing through the line (x-1)/2=(y+1)/1=(z-3)/4 and perpendicular to the plane x+2y-z=12 .

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

Find the equation of the plane containing the line : (x-1)/2=(y-2)/-1=(z-3)/4 and perpendicular to the plane x + 2y + z - 2 = 0.

Find the equation of the plane containing the line : (x-1)/3=(y+2)/1=(z-3)/2 and perpendicular to the plane 2x - y + 2z -3= 0.

Find the equation of the plane containing the line : (x+1)/1=(y-2)/2=(z-3)/3 and perpendicular to the plane 3 x - 2 y - z = 4.

Find the equation of the plane containing the line (x+3)/(2)=(y-2)/(-1)=(z-4)/(4) and perpendicular to the plane x+2y+z-6=0 .

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Find the equation of the plane through the intersection of the planes x+y+z=1 and 2x+3y+4z=5 which is perpendicular to the plane x-y+z=0

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PRADEEP PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXERCISE
  1. The planes 2x-2y+4z+5=0 and 3x-3y+6z-1=0 are

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  2. Find the distance between the parallel planes 2x-y+3z+4=0 and 6x-3y+9z...

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  3. Show that the equation of the plane through the line x/l=y/m=z/n and p...

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  4. Two systems of rectangular axes have the same origin. If a plane cuts ...

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  5. Show that the points P(hati-hatj+3hatk) and Q(3hati+3hatj+3hatk) are e...

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  6. Find in parametric form, the equations of the line x+y+z+1=0, 4x+y-2z+...

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  7. Find the equation of the plane through the line of intersection of the...

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  8. Find the equation of the plane containing the line of intersection of ...

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  9. Find the vector quation of the plane containing the line of intersecti...

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  10. Find the equation of the plane which is perpendicular to the plane 5 x...

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  11. Find the equation of the plane bisectiing the angles between the plane...

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  12. Show that the lines (x+4)/3=(y+6)/5=(z-1)/-2 and 3x-2y+z+5=0=2x+3y+4z-...

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  13. Prove that the line of section of the planes 5x+2y-4z+2=0 and 2x+8y+2z...

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  14. Find the equations of the line through the point (1,2,4) and parallel ...

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  15. Find the angle between the lines: x-2y+z=0=x+2y-2z and x+2y+z=0=3x+9y+...

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  16. Prove that the lines x=py+q, z=ry+s and x=p'y+q'z=r'y+s' are at right ...

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  17. Find the equations of the plane through the intersection of the planes...

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  18. Find the equations of the plane which contains the line of intersectio...

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  19. If a line makes angles of 90^@,60^@ and theta with the x, y and z axis...

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  20. Name the locus of the equation x^2+y^2=0.

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