Question

The differential equation y(dy/dx) = a - x(x ≠ a, a ∈ R) represents 

(A) A family of circles with centre on the y-axis. 

(B) A family of circles with centre at the origin. 

(C) A family of circles with the given radius. 

(D) A family of circles with centre on the x-axis

Answer 1

Answer is (D) A family of circles with centre on the x-axis.

Obviously, the equation is a circle with the centre on the x-axis.