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Find the angle between the pairs of lines with direction ratio proportional to: 2, 2, 1 and 4, 1, 8

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RD SHARMA ENGLISH-STRAIGHT LINE IN SPACE -All Questions
  1. Find the angle between the pairs of lines with direction ratio prop...

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  2. Find the angle between the pairs of lines with direction ratio prop...

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  3. Find the angle between the pairs of lines with direction ratio prop...

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  4. Find the angle between the pairs of lines with direction ratio prop...

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  5. Find the angle between two lines, one of which was direction ratios 2,...

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  6. Find the equations of the line passing through the point (-1, 2,1 ) an...

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  7. Find the equation of the line passing through the point (2, 1, 3) and ...

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

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  9. Determine the equations of the line passing through the point (1, 2, -...

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  10. If the coordinates of the points A ,\ B ,\ C ,\ D\ b e\ (1,\ 2,\ 3),\ ...

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  11. Find the direction cosines of the line (x+2)/2=(2y-7)/6=(1-z)/(-3) . A...

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  12. Determine whether the following pair of lines intersect or not. ve...

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  13. Show that the lines x/1=(y-2)/2=(z+3)/3a n d(x-2)/2=(y-6)/3=(z-3)/4 in...

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

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  15. Show that the lines (x+1)/3=(y+3)/5=(z+5)/7 and (x-2)/1=(y-4)/3=(z-6)/...

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  16. Determine whether the following pair of lines intersect or not. ...

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  17. Find the equation of the perpendicular from point (3,-1,11) to line x...

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  18. Find the perpendicular distasnce of the point (1,0,0) from the lines (...

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  19. Find the coordinates of the foot of the perpendicular drawn from po...

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  20. Find the equation of the perpendicular drawn from the point P(2,\ 4,\ ...

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