Let be a function defined by Consider two statements: (I) is an increasing function in (II) is one-one in

Both (I) and (II) are true Explanation: Solving Step 1: ko simplify karna Ab nikaalte hain: Step 2: ka nature check karna (Differentiation) Step 3: Statements verify karna Statement (I): Chunki aur denominator hamesha positive hai, isliye sabhi ke liye. Iska matlab hai ki ek increasing function hai. (Statement I true hai). Statement (II): Chunki function strictly increasing hai, isliye yeh hamesha one-one (injective) hoga. (Statement II true hai). Conclusion: Dono statements sahi hain. Correct Option: (1)

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JEE 2023 — Mathematics PYQ

JEE | Mathematics | 2023

Let $f: (0, 1) \to \mathbb{R}$ be a function defined by $f (x) = \frac{1}{1 - e ^{- x}}, and g (x) = f (- x) - f (x)$ Consider two statements:

(I) $g$ is an increasing function in $(0, 1)$

(II) $g$ is one-one in $(0, 1)$

JEE 2023 — Mathematics PYQ

Choose the correct answer:

Explanation

Solving

Explanation

Solving

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