Find the set of values of for which the quadratic equation has no real roots.

MATHEMATICS · Single correct · CBSE · Mathematics · Quadratic Equations · Quadratic Equations

Problem

Find the set of values of

k

for which the quadratic equation

2x^{2} + kx + 3 = 0

has no real roots. (a)

|k| < 2\sqrt{3}

(b)

|k| \le 2\sqrt{6}

(c)

|k| < 2\sqrt{6}

(d)

|k| > 2\sqrt{6}