Consider a family of straight lines `(x+y)+lambda(2x-y+1)=0` . Find the equation of the straight line belonging to this family that is farthest from `(1,-3)dot`

Find the equation of the straight lines touching both x^2+y^2=2a^2 and y^2=8a xdot

Find the equation of the straight line parallel to 5x-4y+3=0 and having x-intercept 3.

Find the equation of the straight line parallel to 5x-4y+3=0 and having x - intercept 3.

Consider the family of lines 5x+3y-2+lambda_(1)(3x-y-4)=0 " and " x-y+1+lambda_(2)(2x-y-2)=0 . Find the equation of a straight line that belongs to both the families.

The equation of a straight line whose x intercept is 3 and y intercept is 4 is :