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

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

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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.

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

If the lines (2x-1)/2=(3-y)/1=(z-1)/3 and (x+3)/2=(z+1)/p=(y+2)/5 are perpendicular to each other then p is equal to (A) 1 (B) -1 (C) 10 (D) -7/5

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

If the lines (x-1)/2=(y+1)/3=z/(5t-1) and (x+1)/(2s+1)=y/2=z/4 are parallel to each other, then value of s, t will be

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

Show that the lines (x-3)/2=(y+1)/(-3)=(z+2)/1 and (x-7)/(-3)=y/1=(z+7)/2 are coplanar. Also find the equation of the plane containing them.

Show that the lines (x-1)/(2)=(y-2)/(3)=(z-3)/(4) " and " (x-4)/(5)=(y-1)/(2)=z intersect each other . Find their point of intersection.

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.

Show that the two lines (x-1)/2=(y-2)/3=(z-3)/4 and (x-4)/5=(y-1)/2=z intersect. Find also the point of intersection of these lines.

RD SHARMA ENGLISH-STRAIGHT LINE IN SPACE -All Questions
  1. Find the equations of the line passing through the point (-1, 2,1 ) an...

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

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

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

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

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

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

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  8. 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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  9. 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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  10. 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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  11. Determine whether the following pair of lines intersect or not. ...

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

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

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

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

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  16. Find the foot of the perpendicular drawn from the point hat i+6 hat j...

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  17. Fine the equation of the perpendicular drawn from the point P(-1,\ 3,\...

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  18. find the foot of perpendicular form (0,2,7) to lien (x+2)/(-1)=(y-1)/3...

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  19. Find the equation of line passing through points A(0,6,- 9) and B(-3,-...

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  20. Find the shortest distance between the following pairs of line whose ...

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