Let A be the set of values of k for which 2 lies between the roots of the quadratic equation x 2 + k + 2 x - k + 3 = 0 , then A is given by

Step-by-step solution

Opening upward parabola as the coefficient of x 2 is + v e 2 lies between the roots ⇒ f 2 < 0 f 2 = 4 + 2 k + 2 - k + 3 < 0 4 + 2 k + 4 - k - 3 < 0 k + 5 < 0 ⇒ k < - 5