Question

A circle has its centre at the origin. If a point P(5, 0) lies on the circle, the point (6, 8) lies .

• A. inside the circle
• B. outside the circle
• C. on the circle

Answer 1

The correct option is B outside the circle

The centre of the circle is at (0, 0) and (5, 0) lies on the circle.
So, the radius of the circle = |5 $-$ 0| = 5 units.
Distance between (6, 8) and centre of the circle = $\sqrt{(6-0{)}^2+(8-0{)}^2}=\sqrt{6^2+8^2}=\sqrt{100}=10units.$

So, the distance between (6, 8) and centre of the circle is greater than radius of the circle.
Hence, the point (6, 8) lies outside the circle.