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Find the image of the point (3, 5, 3) wi...

Find the image of the point (3, 5, 3) with respect to the line `x/1=(y-1)/(2)=(z-2)/(3)`

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The correct Answer is:
(-1,1,7)
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The image of the point (1,6,3) with respect to the line (x)/(1) = (y-1)/(2) = (z-2)/(3) is......

Statement-I The point A(1, 0, 7) is the mirror image of the point B(1,6, 3) in the line (x)/(1)=(y-1)/(2)=(z-2)/(3) . Statement-II The line (x)/(1)=(y-1)/(2)=(z-2)/(3) bisect the line segment joining A(1, 0, 7) and B(1, 6, 3) .

Find the image of the point P (3, 5, 7) in the plane 2x + y + z=0 .

Find the image of the point (3,8) with respect to the line x+3y=7 assuming the line to be a plane mirror.

Find the distance of a point (2, 4, -1) from the line (x+5)/(1)=(y+3)/(4)=(z-6)/(-9) .

Find the image of the point (1,3,4) in the plane 2x-y +z = -3.

The image of the point (-1, 3, 4) in the plane x-2y=0 is

Find the perpendicular distance of the point (1, 1, 1) from the line (x-2)/(2)=(y+3)/(2)=(z)/(-1) .

Find the direction ration of the line (3-x)/(1)=(y-2)/(5)=(2z-3)/(1)

The distance of the point (2,-1,-2) from the line (x-1)/(2) = (y+3)/(2) = (z-3)/(3) , measured parallel to the plane x+2y + z=4 is .........

KUMAR PRAKASHAN-THREE DIMENSIONAL GEOMETRY-PRACTICE WORK
  1. Find the angle between the lines (5-x)/(-2)=(y+3)/(1)=(1-z)/(3) and x/...

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

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

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  4. Find the co-ordinates of the point where the line through A(3, 4, 1) a...

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  5. Find the coordinates of the foot of perpendicular drawn from the point...

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  6. Find the foot of perpendicular from the point (0, 2, 3) on the line (x...

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  7. Find the image of the point (3, 5, 3) with respect to the line x/1=(y-...

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  8. Find the equation of the plane passing through the points (1, 2, 3) an...

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

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  10. Find the equation of the plane passing through the point (3, 4, -1) an...

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

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  12. If the points (1, 1, lambda) and (-3, 0, 1) be equidistant from the pl...

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  13. Find the vector equation of the plane containing the lines vecr=(hati+...

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  14. Find the equation of the plane containing two parallel lines (x-4)/(1)...

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  15. Show that the line vecr=hati+hatj+lambda(2hati+hatj+4hatk) lies in the...

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  16. Find the image of the point (1, 3, 4) in the plane vecr.(2hati-hatj+ha...

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  17. Find the foot of perpendicular from the point (0, 2, -2) to the plane ...

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  18. Find the point of intersection of the line (x-1)/(2)=(2-y)/(3)=(z+3)/(...

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  19. Find the equation of perpendicular bisector of the plane of the line s...

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  20. Find the direction cosines of the two lines which are connected by the...

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