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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-THE PLANE -All Questions
  1. If the lines (x-1)/(-3)=(y-2)/(-2k)=(z-3)/2 and (x-1)/k=(y-2)/1=(z-3)...

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  2. Find the vector equation of the plane passing through three points w...

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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 equation of a plane which passes through the point (3, 2, ...

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  5. Find the shortest distance between the lines (x-2)/(-1)=(y-5)/2=(z-0)/...

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  6. Find the shortest distance between the lines , (x-1)/2=(y-3)/4=(z+2)/1...

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  7. Find the length and the foot of the perpendicular from the point (7...

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  8. Find the image of the point O(0,0,0) in the plane 3x+4y-6z+1=0

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  9. Find the reflection of the point (1,\ 2,\ -1) in the plane 3x-5y+4z=5.

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  10. Find the coordinates of the foot of the perpendicular drawn from the ...

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  11. Find the coordinates of the foot of the perpendicular from the point ...

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  12. Find the distance of the point (1,-2,3) from the plane x-y+z=5 measure...

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  13. Find a vector in the direction of vec a=2 hat i- hat j+2 hat k , whic...

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  14. Find the co-ordinates of the foot of perpendicular and the length of p...

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  15. Find the distance of the point with position vector -hat i-5 hat j-10...

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  16. Find the length and the foot of the perpendicular from the point (1, 1...

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  17. Find the coordinates of the foot of the perpendicular and the perpe...

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  18. Find the direction cosines of the unit vector perpendicular to the pla...

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

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  20. Write the equation of the plane parallel to XOY-plane and passing t...

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