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Day 472: MHT-CET Maths

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

  1. Question 1

    Permutations and Combinations. Asked once: 19 Apr 2025 S2

    136
    The domain of the function f(x)= 7−xPx−1f(x) =\ ^{7 -x}P_{x- 1} is

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  2. Question 2

    Probability Distribution. Asked once: 26 Apr 2025 S2

    138
    A fair nn faced die is rolled repeatedly until a number less than nn appears. If the mean of the number of tosses required is n9\frac{n}{9}, then n=(n = ( where n∈N)n \in\mathbb{N})

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  3. Question 3

    Sets, Relations and Functions. Asked once: 20 Apr 2025 S1

    128
    The function defined by f(x)=2x+33x+4,x≠−43f(x) =\frac{2x+ 3}{3x+ 4},x\neq -\frac{4}{3} is

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  4. Question 4

    Straight Line. Asked once: 20 Apr 2025 S2

    111
    If the equation of the median through vertex A(3,k)A(3,k) of △ABC\bigtriangleup ABC with vertices B(2,1)B(2,1) and C(−4,5)C( - 4,5) is x+4y=px+ 4y= p, then k=k = where pp and kk are constants

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  5. Question 5

    Trigonometric Functions. Asked once: 19 Apr 2026 S1

    68
    ∑k=12026sin⁡−1(cos⁡kπ4)=\displaystyle\sum_{k=1}^{2026}\sin^{-1}\left(\cos\dfrac{k\pi}{4}\right) =

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