Question

The number of rational points (s) (a point $(a,b)$ is rational if $a$ and $b$ are rational numbers) on the circuference of a circle having center $(\pi ,e)$ is:

• A. At most one
• B. At least two
• C. Exactly two
• D. None

Answer 1

The correct option is D None

Any point on the circumference of a circle having center $(\pi ,e)$ is

$(\pi +r\cos \theta ,e+r\sin \theta )$

Here, both the co-ordinates are irrational.

So, there is no rational points on the circle.