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

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

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The correct Answer is:
`6x - 5y - z = 0`
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Show that the lines (x-5)/(7) = (y+2)/(-5) = (z)/(1) and (x)/(1) = (y)/(2) = (z)/(3) are perpendicular to each other.

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Show that the lines (x - 5)/(4) = (y - 7)/(4) = (z + 3)/(-5) and (x - 8)/(7) = (y - 4)/(1) = (z - 5)/(3) intersect each other.

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ARIHANT PUBLICATION-THREE-DIMENSIONAL GEOMETRY-Odisha Bureau.s Textbooks Solutions (Exercise 13(c)) (True (T) or False (F))
  1. Find the distance of the point (-1,-5,-10) from the point of intersect...

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  2. Find the image of the point (2,-1,3) in the plane 3x-2y+z-9=0

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  3. 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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  4. Prove that the lines (x+4)/3=(y+6)/5=(z-1)/(-2) and 3x-2y+z+5=0=2x+3y...

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  5. Show that the lines 7x - 4y + 7z +16 = 0 = 4x + 3y - 2z + 3 and x - 3y...

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  6. Show that the line joining the points (0,2,-4) and (-1,1-2) and the l...

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  7. Show that the line (x-1)/(1) = (y+2)/(3) = (z-1)/(-1) lies on the plan...

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

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

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  10. Find the equation of the line passing through the point (1, 0, -1) and...

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  11. A line with direction ratios lt2,1,2gt meets each of the lines x=y+a=z...

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  12. Obtain the co-ordinates of the foot of the perpendicular drawn from th...

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  13. Find the perpendicular distance of the point (-1,3,9) from the line (x...

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  14. Find the distance of the point (1,-2,3) from the plane x-y+z=5, measur...

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  15. Find the distance of the point (1,-1,-10) from the line (x-4)/1=(y+3)/...

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  16. Find the equation of plane through the point (2,0,-3) and containing t...

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  17. Find the equation of the plane containing the line x + 2 = 2y - 1 = 3z...

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  18. Find the equation of the two planes through the origin, parallel to th...

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  19. Find the equation of the straight line perpendicular to the line (x-2)...

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  20. Find the shortest distance between the lines (x-3)/3=(y-8)/(-1)=(z-3)/...

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