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

Question

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, - ∞ , - 5, 5 , ∞, - ∞ , - 5, 5 , ∞

MARKS App · Accepted Answer

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

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