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

Show that the line `(x-1)/2=(y-2)/3=(z-3)/4a n d(x-4)/5=(y-1)/2` intersect. Find their point of intersection.

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RD SHARMA ENGLISH-STRAIGHT LINE IN SPACE -All Questions
  1. Vertices Ba n dC of A B C lie along the line (x+2)/2=(y-1)/1=(z-0)/4 ...

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  2. Find the distance from the point P(3,8,1) to the line (x-3)/3=(y+7)/(...

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  3. Show that the line (x-1)/2=(y-2)/3=(z-3)/4a n d(x-4)/5=(y-1)/2 inters...

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  4. Find the value of lambda so that the following lines are perpendicular...

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  5. Find the foot of the perpendicular from (1,2,-3) to th lin (x+1)/2=(y-...

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  6. Find the length of the perpendicular drawn from the point (5,4,-1) ...

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  7. Find the shortest distance between the lines vec r=(4 hat i- hat j)+l...

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  8. Find the coordinates of the foot of perpendicular drawn from th poi...

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  9. By computing the shortest distance determine whether the following ...

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  10. Find the foot of the perpendicular drawn from the point 2 hat i- ha...

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  11. By computing the shortest distance determine whether the following ...

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

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  13. The Cartesian equations of a line are 6x-2=3y+1=2z-2. Find its directi...

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  14. Prove that the lines through A(0,-1,-1)a n dB(4,5,1) intersecrs the li...

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  15. The points A(4, 5, 10), B(2, 3, 4) and C (1, 2,-1) are thr...

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  16. Find the Cartesian equation of a line passing through the points A(2,\...

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  17. Show that the points whose position vectors are 5 hat i+5 hat k ,\ 2 h...

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  18. Find the vector and Cartesian equations of the line through the point ...

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  19. Find the vector equation of the line passing thought the points (-1,\ ...

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  20. Find the vector equation of a line which is parallel to the vector 2 h...

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