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Reduce the equation of the plane x + 2y ...

Reduce the equation of the plane x + 2y – 2z – 9 = 0 to the normal form and hence find the length of the perpendicular drawn form the origin to the given plane.

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MOTION-THREE DIMENSIONAL GEOMETRY (3 -D)-SOLVED EXAMPLE
  1. Find the area of the triangle whose vertices are A(1, 2, 3), B(2, –1, ...

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  2. A plane is passing through a point P(a, –2a, 2a), a ne 0, at right ang...

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  3. Reduce the equation of the plane x + 2y – 2z – 9 = 0 to the normal for...

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  4. Find the equation of the plane passing through the points (0,-1,-1), (...

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  5. Find the equation of the plane through (1, 0, -2) and perpendicular to...

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  6. Find the equation of the plane passing through the line of intersectio...

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  7. A variable plane is at a constant distance p from the origin and meets...

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  8. Show that the origin lies in the acute angles between the planes x + 2...

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  9. The cartesian equation of a line is (x-3)/(2)=(y+1)/(-2)=(z-3)/(5). Fi...

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  10. If the lines x=ay +b, z=cy+d and x=a'y + b', z=c'y + d' are perpendi...

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  11. Find the coordinates of the foot of the perpendicular drawn from po...

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  12. Find the shortest distance between the lines vecr=(hatii+2hatj+hatk)+l...

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  13. Show that the disease of the point of intersection of the line (x-2)/3...

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  14. Find the co-ordinates of the foot of the perpendicular drawn from the ...

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  15. The equation of straight line 3x + 2y - 2-4 = 0 ; 4x+y-2z + 3 = 0 in ...

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  16. Find the equation of the plane through the intersection of the planes ...

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  17. Find the equation of a plane passing through the line (x-1)/1=(y-2)/1=...

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  18. Prove that the lines 3x + 2y + z – 5 = 0 = x + y – 2z – 3 and 2x – y –...

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  19. Find the equation of the plane which contains the two parallel lines ...

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  20. Find the distance of the point P(3,8,2) from the line 1/2(x-1)=1/4(...

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