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Find the equation of the plane which is perpendicular to the plane 5 x + 3y + 6 z +8 = 0 and which contains the line of intersection of the planes x + 2 y + 3z-4-0 and 2x+y-z+5 -0.

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Find the equation of the plane, which is perpendicular to the plane 5x + 3y + 6z + 8 = 0 , and which contains the line of intersection of the planes : x + 2y + 3z - 4 = 0 and 2x + y -:- z + 5 = 0 .

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Find the equation of the plane through the point (-1, -1, 2) and perpendicular to the planes 3x + 2y - 3z = 1 and 5x -4y + z = 5.

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Find the equation of the plane passing through (-1,-1,2) and perpendicular to the planes 2x+3y+3z=2 and 5x-4y+z=6 .

Find the equation of the plane passing through the point(-1, 3, 2) and perpendicular to the planes x + 2y + 3z = 5 and 3x + 3y + z = 0.

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PRADEEP PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXERCISE
  1. Find the equation of the plane containing the line of intersection of ...

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

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

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

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

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

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

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  9. 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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  10. Find the equations of the plane through the intersection of the planes...

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

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

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

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  14. What is the locus of the equations x^2+y^2+z^2=0?

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  15. Write the direction cosines of the Y-axis.

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  16. What is the shortest distance between two intersecting lines?

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  17. Direction cosines of hat i are ‘

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  18. Write down direction cosines of the line (1-x)/1=(y-2)/1=(z-3)/1.

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  19. What is the angle between the planes x+y=0 and z=0.

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  20. Name the surface represented by the equation ax+by+cz+d=0, where a^2+b...

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