Final answer:
To find a point that lies on the circle centred at the origin with a radius √of 5, any point that satisfies the equation x^2 + y^2 = 5 will lie on the circle.
Step-by-step explanation:
To find the point that lies on the circle centred at the origin with radius √5, we need to find a point that is exactly the distance √5 away from the origin. Since the circle is centred at the origin, any point on the circle will have coordinates (x,y) such that x^2 + y^2 = 5.
A point that satisfies this equation is (1,√4) or (1,-√4). These points are exactly the distance √5 away from the origin and therefore lie on the circle.