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Day 52: MHT-CET Maths

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

  1. Question 1

    Mathematical Logic. This type asked 4 times: 22 Apr 2025 S2, 25 Apr 2025 S2, 12 May 2026 S1, 15 May 2026 S1. This one: 15 May 2026 S1 See all 4 of this type

    62
    Let pp: switch S1S_1 is closed, qq: switch S2S_2 is closed. Then, the equivalent symbolic form for the following circuit is:

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  2. Question 2

    Pair of Straight Lines. This type asked 4 times: 9 May 2023 S1, 10 May 2024 S1, 20 Apr 2025 S2, 15 May 2026 S1. This one: 15 May 2026 S1 See all 4 of this type

    57
    If the equation mx2−y2+2y+n=3mx^2 - y^2 + 2y + n = 3 represents a pair of perpendicular lines, then the values of mm and nn respectively are...

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  3. Question 3

    Permutations and Combinations. This type asked 4 times: 11 May 2023 S1, 15 Apr 2026 S1, 16 Apr 2026 S1, 15 May 2026 S1. This one: 15 May 2026 S1 See all 4 of this type

    55
    How many numbers (without repetition) between 400400 and 10001000 can be made with the digits 2,3,4,5,6,2, 3, 4, 5, 6, and 00?

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  4. Question 4

    Sets, Relations and Functions. This type asked 4 times: May 2021 S1, 16 May 2023 S1, 14 May 2024 S1, 15 May 2026 S1. This one: 15 May 2026 S1 See all 4 of this type

    51
    Let f:R→Rf : R \rightarrow R be defined by f(x)=x2+2x+3x2+x+1f(x) = \dfrac{x^2 + 2x + 3}{x^2 + x + 1}. If the range of f(x)f(x) is [a,b][a, b], then a+b=…a + b = \ldots

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  5. Question 5

    Vectors. This type asked 4 times: 14 May 2024 S1, 15 Apr 2026 S1, 15 Apr 2026 S2, 15 May 2026 S1. This one: 15 May 2026 S1 See all 4 of this type

    90
    If ∣aˉ∣=24|\bar{a}| = 24, ∣bˉ∣=7|\bar{b}| = 7, aˉ⋅bˉ=0\bar{a} \cdot \bar{b} = 0, aˉ+bˉ+cˉ=0ˉ\bar{a} + \bar{b} + \bar{c} = \bar{0}, then ∣cˉ∣=…|\bar{c}| = \ldots

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