For the quadratic function ( )

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

Problem

For the quadratic function

f_k(x)=x^{2}+kx+4

(

k\in\mathbb R

), the minimum value equals

1

. Which of the following describes all real values of

k

for which this occurs? (a)

k=\pm \sqrt3

(b)

k=\pm 2\sqrt3

(c)

k=-2

(d) No real value of

k

satisfies the condition