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Application of Derivatives · 2024 · 5 Apr · Shift 1

3 Mathematics questions from this JEE Main paper

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2024 · 5 Apr · Shift 1
Mathematics
Application of Derivatives

Application of Derivatives · 2024 · 5 Apr · Shift 1

3 Mathematics questions from this JEE Main paper

Q31.Let a rectangle ABCD of sides 2 and 4 be inscribed in another rectangle PQRS such that the vertices of the rectangle ABCD lie on the sides of the rectangle PQRS. Let a and b be the sides of the rectangle PQRS when its area is maximum. Then…
Mathematics · Application of Derivatives · MCQ
Q38.Let $f (x) = x^{5} + 2 x^{3} + 3 x + 1, x \in R$ , and $g (x)$ be a function such that $g (f (x)) = x$ for all $x \in R$ . Then $\frac{g ( 7 )}{g ^{'} ( 7 )}$ is equal to :
Mathematics · Application of Derivatives · MCQ
Q48.For the function $f (x) = sin x + 3 x - \frac{2}{π} (x^{2} + x), where x \in [0, \frac{π}{2}],$ consider the following two statements : (I) $f$ is increasing in $(0, \frac{π}{2})$ . (II) $f^{'}$ …
Mathematics · Application of Derivatives · MCQ