The lines for different values of and pass through the fixed point, whose coordinates are
Explanation for the correct options:
Find the coordinates of the fixed points
Given, the equation of the lines
form a family of straight lines,all lines always pass through the intersection point of .
The two equation
Solving equations and , we get
From
Putting the above value in
Putting the value of in
So, the coordinates of the fixed point is
Hence, the correct option is option (A).