If the roots of the equation qx2+px+q=0 where p, q are real, be complex, then the roots of the equation x2-4qx+p2=0 are
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a
Real and unequal
b
Real and equal
c
Imaginary
d
None of these
answer is A.
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Detailed Solution
The given equations areqx2+px+q=0 ...(i)and x2-4qx+p2=0 ...(ii)Roots of (i) are complex, therefore p2-4q2<0Now discriminant of (ii) is16q2-4p2=-4(p2-4q2)>0Hence, roots are real and unequal.