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Limits Continuity and Differentiability · 2021 · 26 Feb · Shift 2

3 Mathematics questions from this JEE Main paper

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2021 · 26 Feb · Shift 2
Mathematics
Limits Continuity and Differentiability

Limits Continuity and Differentiability · 2021 · 26 Feb · Shift 2

3 Mathematics questions from this JEE Main paper

Q26.Let f(x) be a differentiable function at x = a with f'(a) = 2 and f(a) = 4. Then $x \to a lim \frac{x f ( a ) - a f ( x )}{x - a}$ equals :
Mathematics · Limits Continuity and Differentiability · MCQ
Q35.Let $f (x) = sin^{- 1} x$ and $g (x) = \frac{x ^{2} - x - 2}{2 x ^{2} - x - 6}$ . If $g (2) = x \to 2 lim g (x)$ , then the domain of the function fog is :
Mathematics · Limits Continuity and Differentiability · MCQ
Q36.Let $f : R \to R$ be defined as $f (x) = ⎩ ⎨ ⎧ 2 sin (- \frac{π x}{2}) ∣ a x^{2} + x + b ∣ sin (π x) if x < - 1 if - 1 \leq x \leq 1 if x > 1$ …
Mathematics · Limits Continuity and Differentiability · MCQ