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The image of the line (x-1)/3=(y-3)/1=...

The image of the line `(x-1)/3=(y-3)/1=(z-4)/(-5)` in the plane `2x-y+z+3=0` is the line

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Find the distance of the line (x+1)/-3=(y-3)/2=(z-2)/1 in the plane x+y+z+3=0.

Find the image of the line (x-1)/2=(y+1)/(-1)=(z-3)/4 in the plane 3x-3y+10 z-26=0.

Find the projection of the line (x-1)/2=(y+1)/-1=(z-3)/4 in the plane x+2y+z-9=0 .

Find the angle between the line (x-2)/3=(y+1)/-1=(z-3)/-2 and the plane 3x+4y+z+5=0 .

Find the co-ordinates of the point, where the line: (x-2)/3=(y+1)/4=(z-2)/2 intersects the plane x-y+z-5=0 . Also find the angle between the line and the plane.

Find the angle between the lines (x+1)/(2)=(y)/(3)=(z-3)/(6) and the planes 3x+y+z=7 .

Find the angle between the line x-1/3=3-y/-1=3z+1/6 and the plane 3x -5y + 2z = 10 .

Find the distance of the point (2,3,4) measured parallel to the line (x-3)/(3)=(y-2)/(6)=(z)/(2) from the plane 3x+2y+2z-5=0

Find the image of point (3,-1,2) in line (x+1)/(3)=(y-3)/(4)=(z+2)/(5)

Find the equation of the plane containing the line : (x-1)/3=(y+2)/1=(z-3)/2 and perpendicular to the plane 2x - y + 2z -3= 0.

PRADEEP PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXERCISE
  1. Find the image of the point hati+3hatj+4hatk in the plane vecr.(2hati-...

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  2. Find the length and foot of perpendicular drawn from the point (3,2,1)...

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  3. The image of the line (x-1)/3=(y-3)/1=(z-4)/(-5) in the plane 2x-y+z...

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  4. Find the projection of the line (x-1)/2=(y+1)/-1=(z-3)/4 in the plane ...

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  5. Find the distance of the line (x+1)/-3=(y-3)/2=(z-2)/1 in the plane x+...

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  6. The image of the line (x-1)/3=(y-3)/1=(z-4)/(-5) in the plane 2x-y+z...

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  7. Find the ratio in which the plane ax+by+cz+d=0 divides the join of the...

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  8. Show that the lines (x-a+d)/(alpha-delta) = (y-a)/alpha = (z-a-d)/(alp...

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  9. Find the angle between the planes 2x-3y+4z=1 and -x+y=4.

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  10. Find the angle between the planes: vecr.(hati+hatj)=1 and vecr.(hati+h...

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  11. Find the angle between the two planes 3x-6y+2z = 7 and 2x+2y-2z = 5

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  12. Show that the plane passing through the points (1,1,1), (1,-7,1) and (...

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

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

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

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  16. Obtain the equation of the plane passing through the point (1,-3,-2) a...

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  17. Find the angles between the line vecr=-hati+hatj+2hatk+lambda(3hati+2h...

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  18. Find the co-ordinates of the point, where the line: (x-2)/3=(y+1)/4=(z...

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  19. The distance of the point (2,1,-1) from the plane x-2y+4z=9 is :

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  20. Find the distance between the point (7,2,4) and the plane determined b...

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