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Show that the line (x+3)/(2) = (y+1)/(-1...

Show that the line `(x+3)/(2) = (y+1)/(-1) = (z+3)/(3)` and `(x)/(5) = (y-5)/(1) = (z-3)/(-3)` are perpendicular.

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Find the value of k so that the lines (1-x)/(3) = (y-2)/(2k) = (z-3)/(2) and (1+x)/(3k) = (y-1)/(1) = (6-z)/(7) are perpendicular to each other.

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

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

Equation of the plane passing through the point of intersection of lines (x-1)/(3)=(y-2)/(1)=(z-3)/(2)&(x-3)/(1)=(y-1)/(2)=(z-2)/(3) and perpendicular to the line (x+5)/(2)=(y-3)/(3)=(z+1)/(1) is

NAGEEN PRAKASHAN ENGLISH-THREE-DIMENSIONAL GEOMETRY -Exercise 11 B
  1. Find the values of lambda ad mu if the points A(-1,4,-2),B(lambda,mu,1...

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  2. Find the equation of a line passes through the point hati+hatj+5hatk a...

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  3. The cartesian equation of a line is 6x+1=3y-2 = 3-2x. Find its directi...

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  4. Show that the line (x+3)/(2) = (y+1)/(-1) = (z+3)/(3) and (x)/(5) = (y...

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  5. Find the values of lambda if the following of lines perpendicular : ...

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  6. Show that the following pairs of lines intersect. Also find their poin...

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  7. Show that the lines (x-1)/(1) = (y-2)/(-1) = (z-1)/(1) and (x-1)/(1-...

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  8. Find the co-ordinates of that point at which the lines joining the poi...

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  9. Find the co-ordinates of that point at which the line joining the poin...

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  10. Find the co-ordinates of a point at which the line (x+1)/(2) = (y-3)/(...

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  11. Find the co-ordinates of a point at which the line (x+1)/(2) = (y-1)/(...

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  12. Find the co-ordiantes of the foot of perpendicular drawn from the poi...

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  13. Find the length and the foot of the perpendicular drawn from the point...

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  14. Find the co-ordinates of the foot of perpendicular and length of perp...

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

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  16. Find the image of the point (0,2,3) in the line (x+3)/(5)= (y-1)/(2) =...

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  17. Find the image of the point (3hati-hatj+11hatk) in the line vecr = 2 h...

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  18. Find the shortest distance between the following lines : (i) vecr=4h...

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  19. Find the co-ordinates of the point at a distance of sqrt(5)units from ...

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  20. Find the co-ordinates of the point at a distance of sqrt(14) from the ...

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