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Day 162: MHT-CET Maths

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

  1. Question 1

    Probability Distribution. This type asked 2 times: 21 Apr 2025 S2, 26 Apr 2025 S1. This one: 26 Apr 2025 S1 See all 2 of this type

    131
    The cumulative distribution function of a discrete random variable X is then P(X⩽0)P(X>0)=\frac{P(X \leqslant 0)}{P(X > 0)}=
    X=xX = xF(X=x)F(X = x)
    −4-40.1
    −2-20.3
    00.5
    20.65
    40.75
    60.85
    80.90
    101

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  2. Question 2

    Straight Line. This type asked 2 times: May 2021 S1, 26 Apr 2025 S1. This one: 26 Apr 2025 S1 See all 2 of this type

    104
    The line MN whose equation is x−y−2=0x-y- 2 = 0 cuts the X -axis at M and co-ordinates of N are (4, 2). The line MN is rotated about M through 45∘45^{\circ} in anticlockwise direction. The equation of the line MN in the new position is

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  3. Question 3

    Indefinite Integration. This type asked 2 times: 21 Apr 2025 S1, 25 Apr 2025 S2. This one: 25 Apr 2025 S2 See all 2 of this type

    134
    ∫dxx(x3+1)=\int\frac{dx}{x\left( x^{3}+ 1 \right)}=

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  4. Question 4

    Trigonometry - II. This type asked 2 times: 10 May 2023 S1, 25 Apr 2025 S2. This one: 25 Apr 2025 S2 See all 2 of this type

    148
    cos⁡4π8+cos⁡43π8+cos⁡45π8+cos⁡47π8=\cos^{4}\frac{\pi}{8}+\cos^{4}\frac{3\pi}{8}+\cos^{4}\frac{5\pi}{8}+\cos^{4}\frac{7\pi}{8}=

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  5. Question 5

    Limits. This type asked 2 times: 4 May 2023 S2, 23 Apr 2025 S1. This one: 23 Apr 2025 S1 See all 2 of this type

    108
    lim⁡x→2x+3x2+5x3+7x4−166x−2=\lim_{x\rightarrow 2} \frac{x+ 3x^{2}+ 5x^{3}+ 7x^{4}- 166}{x- 2}=

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