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If the roots of the eqn b(x^2)+cx+a=0 be imaginary, then for all real values of x,the expression 3(b^2)x^2+6bcx+2c^2 is: (a) greater than 4ab (b) less than 4ab (c) greater than -4ab (d) less than -4ab

If the roots of the eqn b(x^2)+cx+a=0 be imaginary, then for all real values of x,the expression 3(b^2)x^2+6bcx+2c^2 is: (a) greater than 4ab (b) less than 4ab (c) greater than -4ab (d) less than -4ab

Grade:12th pass

1 Answers

sudhir pal
askIITians Faculty 26 Points
10 years ago
in second xpression cofficient of leading term is always positive so this xpression would have minimum value
ans : greater than -4ab
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Sudhir,
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