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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

A

`(x+3)/-3=(y-5)/-1=(z+2)/5`

B

`(x-3)/3=(y+5)/1=(z-2)/-5`

C

`(x-3)/-3=(y+5)/-1=(z-2)/5`

D

`(x+3)/3=(y-5)/1=(z-2)/-5`

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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.

MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
  1. The equation of the plane passing through the line of intersection of ...

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  2. The point P is the intersection of the straight line joining the point...

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  3. If the lines (x-2)/1=(y-3)/1=(z-4)/(-k) and (x-1)/k=(y-4)/2=(z-5)/1 ar...

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  4. Distance between two parallel planes 2x+y+2z=8 and 4x+2y+4z+5=0 is

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

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  6. The angle between the lines whose direction cosines satisfy the equa...

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  7. The distance of the point (1,0,2) from the poitn of intersection of th...

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  8. The equation of the plane containing the line 2x-5y+z=3, x+y+4z=5 and ...

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  9. If the line, (x-3)/2=(y+2)/(-1)=(z+4)/3 lies in the place, l x+m y-z=9...

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  10. The distance of the point (1, -5, 9) from the plane x-y+z=5 measured a...

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  11. If a line has direction ratios <2,-1,-2>, then what are its direction ...

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  12. Find the Cartesian equation of the following plane: vecr cdot (hati+ha...

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

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  14. Find the area of the triangle whose vertices are : A(1,2,3), B(2,-1,4)...

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  15. Find the equations of the straight line passing through the point (2,...

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  16. Find the image of the point (1,6,3) in the line : x/1=(y-1)/2=(z-2)/3.

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

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  18. Prove that if a plane has intercepts a,b,c and is at a distance of p u...

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  19. A line makes angles alpha, beta, gamma, delta with the diagonals of a ...

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

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