A) 4
B) 1
C) 2
D) 3
Correct Answer: C
Solution :
Let \[f\left( x \right)=k{{x}^{2}}+x+k\] |
For equal roots. Its discriminant should be zero i.e. \[D={{b}^{2}}-4ac=0\] |
\[\Rightarrow \,\,\,\,1-4k\,.\,k=0\,\,\Rightarrow k=\pm \frac{1}{2}\] |
So, for two values of k, given quadratic polynomial has equal zeroes. |
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