[" (b) Find the point on the straight line "],[2x+3y=6," which is closest to the origin."]

Find the point on the line 2x+3y =6 which is closest to the origin.

The point on the line 3x-2y=1 which is closest to the origin is

Find the point on the straight line 3x+y+4=0 which is equidistant from the points (-5,6) and (3,2).

The point on the curve y=x^2+4x+3 which is closest to the line y=3x+2 is

Find the equations of the straight lines which pass through the origin and trisect the portion of the straight line 2x+3y=6 which is intercepted between the axes.

Find the equations of the straight lines which pass through the origin and trisect the portion of the straight line 2x+3y=6 which is intercepted between the axes.

Find the point on the straight line 3x-4y=25,nearest to the origin .

Find the equations to the straight lines which are at a distance of 2 unit from the origin and which pass through the point of intersection of the lines 3x+4y=4 and 2x+5y+2=0 .

Find the equation of the straight line which passes through the origin and the point of intersection of the lines ax+by+c=0 and a'x+b'y+c'=0 .