Number of solution of the equation √x2 - x + 1 + 1/√x2 - x + 1 = 2 - x2 is
0
1
2
4
Correct Option: B
We know that, AM ≥ GM ∴ √a + 1/√a ≥ 2 Here, √x2 - x + 1 + 1/√x2 - x + 1 ≥ 2 ⇒ 2 - x2 ≥ 2 ⇒ x2 ≤ 0 ⇒ x = 0 Hence, the given equation has only one solution.
