Find the point of intersection of the lines `(x-1)/2=(y-3)/3=(z-2)/2` and `(x-4)/(-1)=(y-2)/4=(z-8)/(-4)`.

The equation of the plane which passes through the point of intersection of lines (x-1)/(3)=(y-2)/(1)=(z-3)/(2), and (x-3)/(1)=(y-1)/(2)=(z-2)/(3) and at greatest distance from point (0,0,0) is a.4x+3y+5z=25 b.4x+3y=5z=50c3x+4y+5z=49d.x+7y-5z=2

" The point of intersection of lines "(x-1)/(2)=(y-2)/(3)=(z-3)/(4)" and "(x-4)/(5)=(y-1)/(2)=(z)/(1)" is "

Show that the following pairs of lines intersect. Also find their point of intersection : (i) (x-1)/(2) = (y-2)/(3)=(z-3)/(4) and (x-4)/(5)=(y-1)/(2)=z (ii) (x-4)/(1)=(y+3)/(-4) = (z+1)/(7) and (x-1)/(2) = (y+1)/(-3)=(z+10)/(8)

Find the points of intersection of the line (x-2)/(-3)=(y-1)/2=(z-3)/2 and the plane 2x+y-z=3 .

The line which passes through the origin and intersect the two lines (x-1)/(2)=(y+3)/(4)=(z-5)/(3) and (x-4)/(2)=(y+3)/(2)=(z-14)/(4) is :

Find the equation of a line which passes through the point (1,1,1) and intersects the lines (x-1)/(2)=(y-2)/(3)=(z-3)/(4)and(x+2)/(1)=(y-3)/(2)=(z+1)/(4)

The lines (x)/(1)=(y)/(2)=(z)/(3)and(x-1)/(-2)=(y-2)/(-4)=(z-3)/(-6) are