Q. The number of rational point (s) (a point $(a,\ b)$ is rational, if $a$ and $b$ both are rational numbers) on the circumference of a circle having centre $(\pi,\ e)$ is

A) At most one
B) At least two
C) Exactly two
D) Infinite
Explanation

(a)
Radius $= \sqrt{(a - \pi)^{2} + (b - e)^{2}}$
=irrational$= k$
$\therefore$ Circle $(x - \pi)^{2} + (y - e)^{2} = k^{2}$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.

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