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

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Find the parametric representation of the following circle x^2 + y^2+2x-4y-1=0 .

Find the symmetrical form of the lines 2x+3y+z-4=0=x+y-2z-3 and 5x+8y-7z=0=10x-2y-2z

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PRADEEP PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXERCISE
  1. Two systems of rectangular axes have the same origin. If a plane cuts ...

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

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

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

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

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

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

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

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

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

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

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  13. 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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  14. Find the equations of the plane through the intersection of the planes...

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

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

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

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

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

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

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