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Show that the lines (x-5)/4=(y-7)/4=(z+3...

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

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Find the equation of the plane containing the lines (x-5)/4=(y-7)/4=(z+3)/(-5)a n d(x-8)/7=(y-4)/1=(z-5)/3dot

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+1)/3=(y+3)/5=(z+5)/7 and (x-2)/1=(y-4)/3=(z-6)/5 intersect. Also find the their point of intersection.

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.

Show that the lines (x-1)/3=(y+1)/2=(z-1)/5a n d(x+2)/4=(y-1)/3=(z+1)/(-2) do not intersect.

Show that the lines (x-1)/3=(y+1)/2=(z-1)/5a n d(x+2)/4=(y-1)/3=(z+1)/(-2) do not intersect.

Show that the lines (x-4)/(1)=(y+3)/(-4)=(z+1)/7 and (x-1)/(2) =(y+1)/(-3)=(z+10)/(8) intersect. Find the coordinates of their point of intersection.

If the lines (x-2)/(1)=(y-3)/(1)=(z-4)/(lamda) and (x-1)/(lamda)=(y-4)/(2)=(z-5)/(1) intersect then

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.

Find the points on the lines (x-6)/3=(y-7)/(-1)=(z-4)/1 and x/(-3)=(y-9)/2=(z-2)/4 . Which are nearest to each other.

RD SHARMA ENGLISH-STRAIGHT LINE IN SPACE -All Questions
  1. Determine the shortest distance between the pair of lines : vec r=( h...

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  2. Find the shortest distance between the following pair of lines: (x...

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  3. Show that the lines (x-5)/4=(y-7)/4=(z+3)/(-5) and (x-8)/7=(y-4)/1=(z-...

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  4. Find the shortest distance between the parallel lines whose equatio...

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  5. Find the shortest distance between the parallel lines whose equation ...

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  6. Find the equation of the lines joining the following pairs of vertices...

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  7. Find the equation of the lines joining the following pairs of vertices...

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  8. Write the vector equations of the following lines and hence determine ...

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  9. Find the shortest distance between the lines vec r=( hat i+2 hat j+ ...

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  10. Find the shortest distance between the lines(x+1)/7=(y+1)/(-6)=(z+1)/...

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  11. Find the shortest distance between the lines: vec r= hat i+2 hat j+3 ...

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  12. Find the shortest distance between the lines: vec r=6 hat i+2 hat j+2...

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  13. Find the distance between the lines l1a n d\ l2 given by vec r= hat ...

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  14. Write the Cartesian and vector equation of X-axis.

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  15. Write the Cartesian and vector equations of Y-axis.

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  16. Write the Cartesian and vector equations of Z-axis.

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  17. Write the vector equation of a line passing through a point having p...

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  18. Cartesian equation of a line A B are (2x-1)/2=(4-y)/7=(z+1)/2dot write...

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  19. Write the direction cosines of the line (x-2)/2=(2y-5)/(-3),\ z=2.

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  20. Write the coordinate axis to which the line (x-2)/3=(y+1)/4=(z-1)/0 is...

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