Prove that the family of lines represented by `x(1+lambda)+y(2-lambda)+5=0,lambda` being arbitrary, pass through a fixed point. Also find the fixed point.

Prove that the family of lines represented by x(1+gamma)+y(2-gamma)+5=0 gamma being arbitrary, passes through a fixed point. Also find the fixed point.

Every line of the system (1+2lambda)x+(lambda-1)y+2(1+2lambda)=0, lambda being a parameter, passes through a fixed point A. The equation of the line passing through A and parallel to the line 3x-y = 0 is

Prove that the equation represent a family of lines which pass through a fixed point. Also find the fixed point : (ii) gammax+y=4

Prove that the equation represent a family of lines which pass through a fixed point. Also find the fixed point : (ii) gammax+y=4

Prove that the equation represent a family of lines which pass through a fixed point. Also find the fixed point : (i) (gamma-1) x+gammay=1-3gamma

Prove that the equation represent a family of lines which pass through a fixed point. Also find the fixed point : (i) (gamma-1) x+gammay=1-3gamma

Prove that the line x(a+2b) + y (a-3b)=a-b passes through a fixed point for different values of a and b . Also find the fixed point.

Prove that the line x(a+2b) + y (a-3b)=a-b passes through a fixed point for different values of a and b . Also find the fixed point.

Circle x^(2)+y^(2)-2x-lambda x-1=0 passes through to fixed points,coordinates of the points are

A family of lines is given by (1+2 lambda)x+(1-lambda)y+lambda=0 being a parameter.The line belonging to this family at the maximum distance from the point (1,4) is ax+by+c=0, then find the value of (a+b+c)/(16)