Question

The expression \(a x^{2}+b x+c(a, b\) and \(c\) are real \()\) has the same sign as that of a for all \(x\) if
(A) \(b^{2}-4 a c>0\)
(B) \(b^{2}-4 a c \neq 0\)
(C) \(b^{2}-4 a c \leq 0\)
(D) \(b\) and \(c\) have the same sign as that of a

Answer 1

Ans : (C)
Hint: C-I: If \(a>0, a x^{2}+b x+c>0, b^{2}-4 a c<0, C-I I:\) If \(a \leq 0, a x^{2}+b x+c \leq 0, D \leq 0\)

Answer 2

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Answer 3

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