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Day 254: MHT-CET Maths

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

  1. Question 1

    Binomial Distribution. Asked once: 20 Apr 2025 S2 (same type asked 2 times) See all 2 of this type

    150
    A fair coin is tossed 99 times. If X is the number of times head occur, then P[X=r]P\lbrack X = r\rbrack is maximum when r=r =

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  2. Question 2

    Complex Numbers. Asked once: May 2022 S1 (same type asked 2 times) See all 2 of this type

    137
    The polar coordinates of the point, whose Cartesian coordinates are (−23,2)(-2\sqrt{3}, 2), are

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  3. Question 3

    Linear Programming. Asked once: 10 May 2024 S1 (same type asked 2 times) See all 2 of this type

    107
    Vertices of feasible region for x+y≤4,  x≤2,  y≤1,  x+y≥1,  x,y≥0x+y\le4,\;x\le2,\;y\le1,\;x+y\ge1,\;x,y\ge0 are

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  4. Question 4

    Vectors. Asked once: 14 May 2024 S2 (same type asked 2 times) See all 2 of this type

    104
    ∣a⃗∣=2,∣b⃗∣=3,∣c⃗∣=5|\vec{a}| = 2, |\vec{b}| = 3, |\vec{c}| = 5 and each angle between pairs is 60°60°, then the value of ∣a⃗+b⃗+c⃗∣|\vec{a} + \vec{b} + \vec{c}| is

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  5. Question 5

    Limits. Asked once: 11 May 2024 S1 (same type asked 2 times) See all 2 of this type

    103
    lim⁡x→2(1x−2−2xx3−3x2+2x)\lim_{x \to 2} \left(\frac{1}{x-2} - \frac{2x}{x^3-3x^2+2x}\right) is equal to

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