1.

Suppose the quadratic equations \[{{x}^{2}}+px+q=0\] and \[{{x}^{2}}+rx+s=0\] are such that p, q, r, s are real and \[pr=2(q+s).\] Then

A. Both the equations always have real roots
B. At least one equation always has real roots
C. Both the equation always have non real roots
D. At least one equation always has real and equal roots
Answer» C. Both the equation always have non real roots


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