The two circles x² + y² = r² and x² + y² $$-$$ 10x + 16 = 0 intersect at two distinct points. Then which one of the following is correct?

What is the equation of the circle which passes through the points (3, $$-$$2) and ($$-$$2, 0) and having its centre on the line 2x $$-$$ y $$-$$ 3 = 0 ?

The equation of a circle whose end points of a diameter are (x₁, y₁) and (x₂, y₂) is

If Y-axis touches the circle $${x^2} + {y^2} + gx + fy + {c \over 4} = 0$$, then the normal at this point intersects the circle at the point.