Find the direction in which a line should be drawn through the point (1,2) so that its point of intersection with the line x + y= 4 is at a distance of `1/3sqrt(6)` from this point.

Find the direction in which a straight line must be drawn through the point (1,2) so that its point of intersection with the line x+y=4 may be at a distance 1/3 sqrt(6) from this point

Find the direction in which a straight line must be drawn through the point (-1, 2) so that its point of intersection with the line x+y= 4 may be at a distance of 3 units from this point.

Find the direction in which a straight line must be drawn through the point (-1, 2) so that its point of intersection with the line x + y = 4 may be at a distance of 3 units from this point.

Find the equation of the lines passing through the point (-4,5) and the point of intersection of the lines 4x-3y+7=0 and 2x+3y+5=0.

Find the equation of the straight line passing through the point (2,3) and through the point of intersection of the lines 2x-3y+7=0 and 7x+4y+2=0

Find the point of intersection of the st. lines x - 4y = 3 and 6x - y= 11.

Find the point on the line (x+2)/3=(y+1)/2=(z-3)/2 at a distance of 3sqrt(2) from the point (1,2,3)dot

Find the point on the line (x+2)/3=(y+1)/2=(z-3)/2 at a distance of 3sqrt2 from the point (1,2,3).

Find the equation of the plane containing the lines 2x-y+z-3=0, 3x+y+z=5 and at a distance of 1/sqrt6 from the point (2,1,-1) .

Find the equation of the line parallel to y-axis and drawn through the point of intersection of the lines x -7y + 5 = 0 and 3x + y = 0 .