Day 34: JEE Mains Maths

5 questions. Try each one first, then open its answer.

Question 1
Permutations and Combinations. This type asked 4 times: 2021 Paper 2, 10 Apr 2023, 2 Apr 2026 S1, 8 Apr 2026 S2. This one: 8 Apr 2026 S2 See all 4 of this type
59 $A person has three different bags and four different books. The number of ways, in which he can put these books in the bags so that no bag is empty, is$
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Question 2
Complex Numbers. This type asked 4 times: 29 Jun 2022, 13 Apr 2023, 29 Jan 2024, 6 Apr 2026 S2. This one: 6 Apr 2026 S2 See all 4 of this type
53 $S=\left\{ z\in C:z^{2}+\sqrt{6}iz- 3 = 0 \right\}$
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Question 3
Inverse Trigonometric Functions. This type asked 4 times: 2021 Paper 18, 27 Jul 2022, 24 Jan 2025, 6 Apr 2026 S2. This one: 6 Apr 2026 S2 See all 4 of this type
63 $\sin\left( \tan^{- 1}(x\sqrt{2}) \right)= \cot\left( \sin^{- 1}\sqrt{1 -x^{2}} \right),x \in (0,1)$
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Question 4
Sequences and Series. This type asked 4 times: 27 Jul 2022, 8 Apr 2023, 2 Apr 2026 S2, 6 Apr 2026 S2. This one: 6 Apr 2026 S2 See all 4 of this type
56 $1 +\frac{1}{2}\left( 1^{2}+2^{2} \right)+\frac{1}{3}\left( 1^{2}+2^{2}+3^{2} \right)+ ...$
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Question 5
Vector Algebra. This type asked 4 times: 13 Apr 2023, 29 Jan 2024, 9 Apr 2024, 6 Apr 2026 S2. This one: 6 Apr 2026 S2 See all 4 of this type
65 $\overrightarrow{a}= 2\widehat{i}+ 3\widehat{j}+ 3\widehat{k}$
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Question 1