isi-entrance 2017 Q1

isi-entrance · India · UGA Discriminant and conditions for roots Nature of roots given coefficient constraints

Consider a quadratic equation $ax^2 + 2bx + c = 0$, where $a, b$ and $c$ are positive real numbers. If the equation has no real roots, then which of the following is true?
(A) $a, b, c$ cannot be in AP or HP, but can be in GP.
(B) $a, b, c$ cannot be in GP or HP, but can be in AP.
(C) $a, b, c$ cannot be in AP or GP, but can be in HP.
(D) $a, b, c$ cannot be in AP, GP or HP.

Consider a quadratic equation $ax^2 + 2bx + c = 0$, where $a, b$ and $c$ are positive real numbers. If the equation has no real roots, then which of the following is true?\\
(A) $a, b, c$ cannot be in AP or HP, but can be in GP.\\
(B) $a, b, c$ cannot be in GP or HP, but can be in AP.\\
(C) $a, b, c$ cannot be in AP or GP, but can be in HP.\\
(D) $a, b, c$ cannot be in AP, GP or HP.

Paper Questions

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