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Day 506: JEE Mains Maths

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

  1. Question 1

    Inverse Trigonometric Functions. Asked once: 25 Jun 2022

    169
    The value of tan⁡−1(cos⁡(15π4)−1sin⁡(π4))\tan^{- 1}\left( \frac{\cos\left( \frac{15\pi}{4} \right)- 1}{\sin\left( \frac{\pi}{4} \right)} \right) is equal to

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  2. Question 2

    Limits and Continuity. Asked once: 11 Apr 2023

    65
    Let f(x)=x2−x+∣−x+[x]∣f(x) =x^{2}- x + | - x + \lbrack x\rbrack|, where x∈Rx \in R and [t] denotes the greatest integer less than or equal to tt. Then, ff is

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  3. Question 3

    Matrices. Asked once: 4 Apr 2024

    80
    Let α∈(0,∞)\alpha \in (0,\infty) and A=[12α101012]A =\begin{bmatrix} 1 & 2 & \alpha \\ 1 & 0 & 1 \\ 0 & 1 & 2 \end{bmatrix}. If det(adj(2 A−AT)⋅adj(A−2 AT))=28det\left( adj\left( 2\text{ }A -A^{T} \right)\cdot adj\left( A - 2{\text{ }A}^{T} \right) \right)=2^{8}, then (det(A))2(det(A))^{2} is equal to :

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  4. Question 4

    Permutations and Combinations. Asked once: 29 Jan 2024

    152
    Number of ways of arranging 8 identical books into 4 identical shelves where any number of shelves may remain empty is equal to

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  5. Question 5

    Probability. Asked once: 31 Jan 2024

    76
    Two marbles are drawn in succession from a box containing 10 red, 30 white, 20 blue and 15 orange marbles, with replacement being made after each drawing. Then the probability, that first drawn marble is red and second drawn marble is white, is

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