Question

A circle has its centre at origin and point $P(8,0)$ lies on it.

The point $Q(2,8)$ lies

• A. inside the circle.
• B. outside the circle.
• C. on the circle
• D. None of the above

Answer 1

Answer: (B)

outside the circle.

The radius of the circle is the distance between points O and P i.e. $8$ units.
Distance between O and Q
$=\sqrt{(2-0{)}^2+(8-0{)}^2}$
$=\sqrt{4+64}=\sqrt{68}>8$
Therefore point Q lies outside the circle.

So, option B is correct.