Teaching Haryana (HPSC) Assistant Professor Mock Test 2025 Mathematical Science Analysis

Let f: [a, b] → ℝ be a function such that f(x) ≥ 0 ∀ x ∈ [a, b] and \(\rm \int_a^bf(x)dx=0\)

1
f ≡ 0
2
\(\rm f\not\equiv0\)
3
f(x) may be zero
4
f(x) may be zero Can't be said about f
5
Question Not Attempted
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