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Day 237: MHT-CET Maths

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

  1. Question 1

    Applications of Derivative. Asked once: 21 Apr 2025 S2 (same type asked 3 times) See all 3 of this type

    116
    If f(x)=ksinx+2cos⁡xsin⁡x+cos⁡xf(x) =\frac{ksinx+ 2\cos x}{\sin x+ \cos x} is strictly increasing for all real values of xx, then

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  2. Question 2

    Determinants and Matrices. Asked once: 25 Apr 2025 S1 (same type asked 3 times) See all 3 of this type

    120
    If A=[3−342−340−11]3×3A=\begin{bmatrix} 3 & - 3 & 4 \\ 2 & - 3 & 4 \\ 0 & - 1 & 1 \end{bmatrix}_{3 \times 3}, then A−1=A^{- 1}=

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  3. Question 3

    Applications of Derivative. Asked once: 21 Apr 2025 S1 (same type asked 3 times) See all 3 of this type

    130
    The function x5−5x4+5x3−10x^{5}- 5x^{4}+ 5x^{3}- 10 has a maximum, when xx is equal to

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  4. Question 4

    Probability Distribution. Asked once: 26 Apr 2025 S1 (same type asked 3 times) See all 3 of this type

    138
    A box contains 8 red and xx number of green balls. 3 balls are drawn at random, if the probability that 3 balls being red is 715\frac{7}{15}, then number of green balls is...

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  5. Question 5

    Trigonometric Functions. Asked once: 25 Apr 2025 S1 (same type asked 3 times) See all 3 of this type

    115
    The principal solution of (5+3sin⁡θ)(2cos⁡θ+1)=0(5 + 3\sin\theta)(2\cos\theta+ 1) = 0 are

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