Equation of the line belonging to the system `3x+2y-8+lambda(2x-5y+1)=0` and having equal intercepts is

Find the equation of the line through the intersection of the lines 2x+3y-2=0 and x-2y+1=0 and having x-intercept equal to 3.

The equation of line belonging to the family of lines (5x+3y-2)+lambda(3x-y-4)=0 , lambda in R ,and at greatest distance from (0,0) is

Find the equation of a straight line perpendicular to the line x-2y+3=0 and having intercept 3 on x-axis.

The equation of line belonging to the family of lines (5x+3y-2) + lambda (3x-y-4)=0, lambda in R , and at greatest distance from (0,2) is (A) x-y-2=0 (B) x+y=0 (C) x-y=0 (D) 2x-y-3=0

Find the equation of a line passing through the intersection of the lines 3x+2y=5 and 2x-y=1 and cuts equal intercepts on the axes.

Find the equation of the line passing through the intersection of the lines 4x+7y-3=0 and 2x-3y+1=0 that has equal intercepts on the axes.

Find the equation of the line passing through the point of intersection of the lines 4x+7y-3=0 and 2x-3y+1=0 that has equal intercepts on the axes.