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CGP EDU Academic Team
Published on: August 13, 2026
If ax 2 + bx + c, a, b, c 
R has no real zeros, and if c < 0, then
Text Solution
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A
Let f(x) = ax 2 + bx + c. Since f(x) has no real zeros, either f(x) > 0 or f(x) < 0 for all x ∈ R. Since f(0) = c < 0, we get f(x) < 0 ∀ x ∈ R. Therefore, a < 0 as the parabola y = f (x) open downwards.
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