Question
Question: The number of rational point(s) (a point (a, b) is rational, if a and b both are rational numbers) o...
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 (p, e) is
A
At most one
B
At least two
C
Maximum two
D
Infinite
Answer
At most one
Explanation
Solution
Let A and B are two rational points. Let perpendicular bisector of AB is ax + by + c = 0, then a, b, c will be rational and it can not satisfy to (p,e). So atmost one point can be rational.
