Two straight lines `x + 2y = 2 and x + 2y = 6` are given, then find the equation of the line parallel to given lines and divided distance between lines in the ratio `2:1` internally

Find the equations of line parallel to 3x + 4y + 2 = 0, at a distance 4 units from given line.

The equation of the straight line in the normal form which is parallel to the lines x+2y+3=0 and x+2y +8=0 and dividing the distance between these two lines in the ratio 1:2 internally is

Given two straight lines x-y-7=0 and x-y+3=0. Equation of a line which divides the distance between them in the ratio 3:2 (internally) can be:

Obtain the equation of the family of straight lines parallel to the line y=2x.

Find the equations of the two straight line parallel to the line 3x+4y=15 and at a distance of 7.5 unit from the point (1,-2).

Find the equations of the two straight line parallel to the line 3x+4y=15and at a distance of 7.5 unit from the point (1,-2).

Given two straight lines 3x - 2y = 5 and 2x + ky + 7 =0 . Find the value of k for which the given lines are : parallel to each other.