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A variable plane moves so that the sum o...

A variable plane moves so that the sum of reciprocals of its intercepts on the three coordinate axes is constant, show that it passes through a fixed point.

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PRADEEP PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXERCISE
  1. Find the equation of the plane whose intercepts on the axes are 3,4,5 ...

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  2. Find the equation of the plane passing through the point (2,4,6) and m...

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  3. A variable plane moves so that the sum of reciprocals of its intercept...

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  4. A plane meets the coordinates axes in A, B and C such that the centroi...

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  5. Find the intercepts made by the plane 2x-3y+5z+4=0 on the co-ordinate ...

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  6. Change to normal form the plane 2x-3y+6z+4=0

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  7. Find the vector equation of the following planes in scalar product for...

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  8. Find the shortest distance between the following lines whose vector eq...

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  9. Find the vector equation of the following plane in scalar product form...

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  10. Find the equation satisfied by the coordinates of a variable point P(x...

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  11. Find the vector equations of the plane passing through the points R(2...

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  12. Prove that the normal to the plane containing three point whose positi...

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  13. Find the equation of a plane which is at a distance 3sqrt3 units from ...

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  14. Show that the plane whose vector equation is vecr.(hati+2hatj-hatk)=3 ...

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

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  16. Find the equation of the plane which passes through the line (x-3)/2=(...

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  17. Find the equation of the plane containing the line (x-3)/7=(y-4)/0=(z-...

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  18. Find the equation of the plane containing the line (x+1)/-3=(y-3)/2=(z...

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  19. Find the equation of the plane passing through the point (1,1,1) and c...

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  20. Find the equation of the plane which is parallel to the line (x-4)/1=(...

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