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Find the equation of the plane through t...

Find the equation of the plane through the line of intersection of the planes x+2y+3z+4=0 and x-y+z+3=0 and passing through the origin.

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

Find the vector quation of the plane containing the line of intersection of the planes x-3y+4z-5=0 and 2x-y+3z-1=0 and passing through the point (1,-2,3).

Find the equation of the plane passing through the line of intersection of the planes 2x+y-z=3 and 5x-3y+4z=9 and parallel to the lines (x-1)/(2)=(y-3)/(4)=(z-5)/(5)

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PRADEEP PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXERCISE
  1. Show that the points P(hati-hatj+3hatk) and Q(3hati+3hatj+3hatk) are e...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  20. Direction cosines of hat i are ‘

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