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Day 491: MHT-CET Maths

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

  1. Question 1

    Probability Distribution. Asked once: 14 May 2024 S2

    144
    A fair die with numbers 1 to 6 on their faces is thrown. Let X denote the number of factors of the number on the uppermost face, then the probability distribution of X is

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  2. Question 2

    Sets, Relations and Functions. Asked once: 3 May 2023 S2

    105
    The domain of definition of f(x)=log⁡2(x+3)x2+3x+2f(x)=\dfrac{\log_{2}(x+3)}{x^{2}+3x+2} is

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  3. Question 3

    Straight Line. Asked once: 9 May 2024 S1

    121
    The distance of a point (2,5)(2,5) from the line 3x+y+4=03x+y+4=0 measured along the lines L1L_1 and L2L_2 are same. If slope of line L1L_1 is 34\frac{3}{4}, then slope of the line L2L_2 is

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  4. Question 4

    Trigonometric Functions. Asked once: 16 Apr 2026 S2

    62
    In triangle ABC, with usual notations, if a=4,b=5a = 4, b = 5 and c=6c = 6, then angle C is equal to...

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  5. Question 5

    Trigonometry - II. Asked once: 21 Apr 2025 S1

    105
    If f(x)=cos⁡(log⁡x)f(x) = \cos(\log x) then f(x2)⋅f(y2)−12[f(x2y2)+f(x2y2)]f\left( x^{2} \right)\cdot f\left( y^{2} \right)-\frac{1}{2}\left\lbrack f\left( \frac{x^{2}}{y^{2}} \right)+ f\left( x^{2}y^{2} \right) \right\rbrack has the value

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