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Binomial Theorem · 2024 · 31 Jan · Shift 1

2 Mathematics questions from this JEE Main paper

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2024 · 31 Jan · Shift 1
Mathematics
Binomial Theorem

Binomial Theorem · 2024 · 31 Jan · Shift 1

2 Mathematics questions from this JEE Main paper

Q47.Let $a$ be the sum of all coefficients in the expansion of $(1 - 2 x + 2 x^{2})^{2023} (3 - 4 x^{2} + 2 x^{3})^{2024}$ and $b = lim_{x \to 0} (\frac{\int _{0}^{x} \frac{l o g ( 1 + t )}{t ^{2024} + 1} d t}{x ^{2}})$ . If the…
Mathematics · Binomial Theorem · MCQ
Q52.In the expansion of $(1 + x) (1 - x^{2}) (1 + \frac{3}{x} + \frac{3}{x ^{2}} + \frac{1}{x ^{3}})^{5}, x e q 0$ , the sum of the coefficients of $x^{3}$ and $x^{- 13}$ is equal to .
Mathematics · Binomial Theorem · Numerical