isi-entrance 2024 Q21

isi-entrance · India · UGA Circles Circle-Line Intersection and Point Conditions
Consider points of the form $\left(n, n^k\right)$, where $n$ and $k$ are integers with $n \geq 0$, $k \geq 1$. How many such points are strictly inside the circle of radius 10 with centre at the origin?
(A) 11
(B) 12
(C) 15
(D) 17
Consider points of the form $\left(n, n^k\right)$, where $n$ and $k$ are integers with $n \geq 0$, $k \geq 1$. How many such points are strictly inside the circle of radius 10 with centre at the origin?\\
(A) 11\\
(B) 12\\
(C) 15\\
(D) 17