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Limits Continuity and Differentiability · 2023 · 8 Apr · Shift 2

2 Mathematics questions from this JEE Main paper

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2023 · 8 Apr · Shift 2
Mathematics
Limits Continuity and Differentiability

Limits Continuity and Differentiability · 2023 · 8 Apr · Shift 2

2 Mathematics questions from this JEE Main paper

Q32.If $α > β > 0$ are the roots of the equation $a x^{2} + b x + 1 = 0$ , and $lim_{x \to \frac{1}{α}} (\frac{1 - c o s ( x ^{2} + b x + a )}{2 ( 1 - α x ) ^{2}})^{\frac{1}{2}} = \frac{1}{k} (\frac{1}{β} - \frac{1}{α}), then k is equal to$ …
Mathematics · Limits Continuity and Differentiability · MCQ
Q39.Let $k$ and $m$ be positive real numbers such that the function $f (x) = {3 x^{2} + k x + 1, m x^{2} + k^{2}, 0 < x < 1 x \geq 1$ is differentiable for all $x > 0$ …
Mathematics · Limits Continuity and Differentiability · Numerical