Set \(T\) consists of all points \((x, y)\) such that \(x^2 + y^2 = 1.\) If point \((a, b)\) is selected from set \(T\)

[Vincen]

Set \(T\) consists of all points \((x, y)\) such that \(x^2 + y^2 = 1.\) If point \((a, b)\) is selected from set \(T\) at random, what is the probability that \(b > a + 1 ?\)

(A) \(\dfrac14\)

(B) \(\dfrac13\)

(C) \(\dfrac12\)

(D) \(\dfrac35\)

(E) \(\dfrac23\)

Answer: A

Source: GMAT Club Tests