Determine which point A(2, 3) or B(1, 4) is closer to the origin?
A) Point A(2, 3) is closer to the origin
B) Point B(1, 4) is closer to the origin.

Question

Quizplus · Accepted Answer

The distance of a point (x, y) from the origin (0, 0) is given by the formula $\sqrt{x^2 + y^2}$. For point A(2, 3), the distance is $\sqrt{2^2 + 3^2} = \sqrt{13}$. For point B(1, 4), the distance is $\sqrt{1^2 + 4^2} = \sqrt{17}$. Since $\sqrt{13}$ is less than $\sqrt{17}$, point A is closer to the origin.

Determine Which Point A(2, 3) or B(1, 4) Is Closer