For which real values of the parameter does the function have ?

MATHEMATICS · Single correct · CBSE · Mathematics · Linear Inequalities · Linear Inequalities

Problem

For which real values of the parameter

k

does the function

f(x)=\sqrt{x^{2}-kx+k}

have

\text{domain}=\mathbb{R}

? (a)

k\le 0\;\text{or}\;k\ge 4

(b)

0\le k\le4

(c)

0<k<4

(d)

k>4