PYQ Vault
EbooksTutor

Day 439: JEE Mains Maths

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

  1. Question 1

    Inverse Trigonometric Functions. Asked once: 8 Apr 2026 S2

    62
    Let α=3sin⁡−1(611)\alpha= 3\sin^{- 1}\left( \frac{6}{11} \right) and β=3cos⁡−1(49)\beta= 3\cos^{- 1}\left( \frac{4}{9} \right), where inverse trigonometric functions take only the principal values. Given below are two statements: Statement I : cos⁡(α+β)>0\cos(\alpha + \beta) > 0 Statement II : cos⁡(α)<0\cos(\alpha) < 0 In the light of the above statements, choose the correct answer from the options given below:

    Tap an option to check your answer.

  2. Question 2

    Limits and Continuity. Asked once: 6 Apr 2026 S1

    67
    The value of lim⁡x→0(x2sin⁡2xx2−sin⁡2x)\lim_{x\rightarrow 0} \left( \frac{x^{2}\sin^{2}x}{x^{2}-\sin^{2}x} \right) is:

    Tap an option to check your answer.

  3. Question 3

    Matrices. Asked once: 8 Apr 2026 S2

    54
    Let A=[α12230045]A=\begin{bmatrix} \alpha & 1 & 2 \\ 2 & 3 & 0 \\ 0 & 4 & 5 \end{bmatrix} and B=[1000−5α004α−2α]+adj(A)B =\begin{bmatrix} 1 & 0 & 0 \\ 0 & - 5\alpha & 0 \\ 0 & 4\alpha & - 2\alpha \end{bmatrix}+ adj(A). If det(B)=66det(B) = 66, then det(adj(A))det(adj(A)) equals :

    Tap an option to check your answer.

  4. Question 4

    Permutations and Combinations. Asked once: 5 Apr 2026 S1

    72
    Two players A and B play a series of games of badminton. The player, who wins 5 games first, wins the series. Assuming that no game ends in a draw, the number of ways, in which player A wins the series is ____\_\_\_\_ .

  5. Question 5

    Probability. Asked once: 6 Apr 2026 S2

    59
    A bag contains 6 blue and 6 green balls. Pairs of balls are drawn without replacement until the bag is empty. The probability that each drawn pair consists of one blue and one green ball is :

    Tap an option to check your answer.