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Show that the following pairs of lines intersect. Also find their point of intersection :
(i) `(x-1)/(2) = (y-2)/(3)=(z-3)/(4)` and `(x-4)/(5)=(y-1)/(2)=z`
(ii) `(x-4)/(1)=(y+3)/(-4) = (z+1)/(7)` and `(x-1)/(2) = (y+1)/(-3)=(z+10)/(8)`

Text Solution

Verified by Experts

The correct Answer is:
(i) `(-1,-1,-1)`, (ii) `(5,-7,6)`
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NAGEEN PRAKASHAN-THREE-DIMENSIONAL GEOMETRY -Exercise 11 B
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  2. Find the angle between the following pairs of lines (i) veci=3hati+2...

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

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

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

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

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  7. Show that the lines vecr= hati+hatj-hatk+lambda(3hati-hatj) and vecr =...

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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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