| Statement 1: If a, b, c are non-real complex and \[\alpha ,\beta \] are the roots of the equation ax2 + bx + c = 0 then \[\operatorname{Im}(\alpha \beta )\ne 0.\] |
| Statement 2: A quadratic equation with non real complex coefficient do not have root which are conjugate of each other. |
A) Statement-1 is false, Statement-2 is true.
B) Statement-1 is true, statement-2 is true and statement- is correct explanation for statement-1
C) Statement-1 is true.statement-2 is true and statement-2 is NOT correct explanation for statement-1
D) Statement-1 is true, Statement-2 is false.
Correct Answer: A
Solution :
\[i{{x}^{2}}+(1+i)x+i=0\] \[\Rightarrow \]\[\alpha \,\beta =1\] \[\Rightarrow \]\[\operatorname{Im}(\alpha \,\beta )=0\]
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