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Day 371: JEE Mains Maths

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

  1. Question 1

    Inverse Trigonometric Functions. Asked once: 2021 Paper 4 (same type asked 6 times) See all 6 of this type

    79
    csc⁡[2cot⁡−1(5)+cos⁡−1(45)]\csc\left\lbrack 2\cot^{- 1}(5) +\cos^{- 1}\left( \frac{4}{5} \right) \right\rbrack is equal to:

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  2. Question 2

    Complex Numbers. Asked once: 26 Jul 2022 (same type asked 6 times) See all 6 of this type

    152
    If z=x+iyz = x + iy satisfies ∣z∣−2=0|z| - 2 = 0 and ∣z−i∣−∣z+5i∣=0|z - i| - |z + 5i| = 0, then

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  3. Question 3

    Matrices. Asked once: 27 Jun 2022 (same type asked 6 times) See all 6 of this type

    83
    The positive value of the determinant of the matrix A, whose Adj(Adj(A))=(1428−14−14142828−1414)Adj(Adj(A)) =\begin{pmatrix} 14 & 28 & - 14 \\ - 14 & 14 & 28 \\ 28 & - 14 & 14 \end{pmatrix}, is

  4. Question 4

    Permutations and Combinations. Asked once: 28 Jun 2022 (same type asked 6 times) See all 6 of this type

    153
    The number of ways to distribute 30 identical candies among four children C1,C2,C3C_{1},C_{2},C_{3} and C4C_{4} so that C2C_{2} receives atleast 4 and atmost 7 candies, C3C_{3} receives atleast 2 and atmost 6 candies, is equal to

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  5. Question 5

    Relations and Functions. Asked once: 15 Apr 2023 (same type asked 6 times) See all 6 of this type

    80
    If the domain of the function
    f(x)=log⁡e(4x2+11x+6)+sin⁡−1f(x) =\log_{e}\left( 4x^{2}+ 11x + 6 \right)+\sin^{- 1}
    (4x+3)+cos⁡−1(10x+63)(4x + 3) +\cos^{- 1}\left( \frac{10x + 6}{3} \right) is (α,β](\alpha,\beta\rbrack, Then 36∣α+β∣36|\alpha + \beta| is equal to :

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