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A plane meets the co-ordinate axes at A,...

A plane meets the co-ordinate axes at A,B,C such that the centroid of `DeltaABC` is `(2,-2,3)`. Find the equation of the plane.

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MBD PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. Find the equation of the plane through the points (1,1,0), (-2,2,1) an...

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  2. Find the equation of the plane passing through the points (1,-1,1) and...

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  3. A plane meets the co-ordinate axes at A,B,C such that the centroid of ...

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  4. Find the equation of the plane through the feet of the perpendlcular d...

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  5. Find equation of a plane through (2,-3,1) and perpendlcular to the lin...

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  6. Find the equation of a plane biscting the line segment joining (-1,4,3...

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  7. Find the equation of planes parallel to the plane 6x-3y-2z+5=0 and at ...

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  8. Find the point where the line (x-2)/1=y/(-1)=(z-1)/2 meets the plane 2...

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  9. If the points (-1,3,2), (-4,2,-1) and (5,5,lambda) are collinear, find...

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  10. Find the angle between the plane x+y+z-2=0 and line (x+3)/2=(y-1)/1=(z...

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  11. Find the equation of the plane passing through the point (2,3,1) and p...

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  12. Find the image of the point (3,-2,1) in the plane x-y+3z=2.

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  13. Find the equation of the plane passing through the line (x-8)/3=(y+19)...

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  14. Find the length of the perpendicular from (2,0,1) on the line x=y=z.

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  15. Find the equation of the line through (-1,0,1) and perpendicular to th...

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  16. Show that the lines (x+3)/2=(y+5)/3=(z-7)/-3and (x+1)/4=(y+1)/5=(z+1)/...

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  17. Show that the plane 2x-y-2z-4=0 touches the shpere x^2+y^2+z^2+2x-6y+1...

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  18. Find the equation of the sphere concentric with the sphere x^2+y^2+z^2...

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  19. Find equation of the sphere whose centre is (2,-3,4) and which passes ...

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  20. Find equation of the sphere with centre (3,6,-4) and touching the plan...

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