A) Real and unequal
B) Real and equal
C) Imaginary
D) None of these
Correct Answer: A
Solution :
The given equations are \[q{{x}^{2}}+px+q=0\] .....(i) and \[{{x}^{2}}-4qx+{{p}^{2}}=0\] .....(ii) Roots of (i) are complex, therefore \[{{p}^{2}}-4{{q}^{2}}<0\] Now discriminant of (ii) is \[16{{q}^{2}}-4{{p}^{2}}=-4({{p}^{2}}-4{{q}^{2}})>0\] Hence, roots are real and unequal.You need to login to perform this action.
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