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

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) .

Consider the family of lines 5x+3y-2+lambda(3x-y-4)=0 and x-y+1+mu(2x-y-2)=0. The equation of a straight line that belonges to both the families is

Consider the family of line (x+y-1)+lamda(2x+3y-5)=0 and (3x+2y-4)+mu(x+2y-6)=0 Equation of a straight line that belongs to both the families is:

Consider the family of lines 5x+3y-2 + lambda (3x-y-4)=0 and x-y+1 + mu (2x - y - 2) = 0 Equation of straight line that belong to both families is ax+by-7=0 then a+b is

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 straight line x+sqrt(3)y=1 in polar coordinate is

Given a family of lines a(2x+y+4)+b(x-2y-1)3)=0 .The number of lines belonging to the family at a distance of sqrt(10) from point (2,-3) is