Correct option is (D) (1, 3)
(A) Distance between point (2, -3) to origin (0, 0) is
\(d=\sqrt{(0-2)^2+(0-(-3))^2}\)
\(=\sqrt{4+9}=\sqrt{13}\)
(B) Distance between point (5, 0) to origin (0, 0) is
\(d=\sqrt{(0-5)^2+(0-0)^2}\)
\(=\sqrt{25}=5\)
(C) Distance between point (0, -5) to origin (0, 0) is
\(d=\sqrt{(0-0)^2+(0-(-5))^2}\)
\(=\sqrt{25}=5\)
(D) Distance between point (1, 3) to origin (0, 0) is
\(d=\sqrt{(0-1)^2+(0-3)^2}\)
\(=\sqrt{1+9}=\sqrt{10}\)
\(\because\sqrt{10}<\sqrt{13}<5\)
\(\therefore\) Among given points (1, 3) is nearest point to origin.
