A straight line passes through the point (2,4), find the locus of the middle point of the portion of the line intercepted between the axes.

Find the equation of the straight line, which passes through the point (1, 4) and is such that the segment of the line intercepted between the axes is divided by the point in the ratio 1: 2.

Find the equations of the straight lines which pass through the origin and trisect the portion of the st. line x/a+y/b=1 , which is intercepted between the axis.

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

A line passes through the point (2,2) and is perpendicular to the line 3x + y =3, then its y -intercept is

A straight line passing through the point (2,2) and the axes enclose an area lamda . The intercepts on the axes made by the line are given by the two roots of:

Find the equation of the straight line through the point P(a,b) parallel to the line x/a+y/b = 1 also find the intercepts made by it on the axes .

The locus of the middle point of the portion of a tangent to the ellipse x^2/a^2+y^2/b^2=1 included between axes is

Find the equation of a straight line passing through the point (-5,4) and which cuts off an intercept fo sqrt(2) units between the lines x+y+1=0 and x+y-1=0