Teaching DSSSB TGT Mock Test 2025 Mathematical Science Analysis Continuity & Differentiability

माना f: [-a, a] →\(\mathbb R\) एक सतत और अवकलनीय फलन इस प्रकार है कि सभी x ∈ (-a, a) के लिए f'(x) ≤ 1 है। यदि f(a) = a और f(-a) = -a है, तब -

1
f(x) = x ∀ x ∈ (-a, a)
2
f(x) = x2 ∀ x ∈ (-a, a)
3
f(x) = sin x ∀ x ∈ (-a, a)
4
f(x) = - x ∀ x ∈ (-a, a)
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