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Day 386: MHT-CET Maths

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

  1. Question 1

    Differentiation. Asked once: 20 Apr 2025 S2 (same type asked 9 times) See all 9 of this type

    139
    If xy+yx=abx^{y}+y^{x}=a^{b}, then dydx\frac{dy}{dx} at x=1,y=2x= 1,y= 2 is

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  2. Question 2

    Mathematical Logic. Asked once: 20 Apr 2025 S2 (same type asked 9 times) See all 9 of this type

    134
    The negation of (p∧∼q)→(p∨∼q)(p\land \sim q) \rightarrow (p\vee \sim q) is

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  3. Question 3

    Definite Integration. Asked once: 10 May 2023 S1 (same type asked 9 times) See all 9 of this type

    101
    ∫0π/2∣sin⁡x−cos⁡x∣ dx\int_0^{\pi/2}|\sin x - \cos x|\,dx has the value

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  4. Question 4

    Mathematical Logic. Asked once: 15 May 2023 S2 (same type asked 9 times) See all 9 of this type

    145
    If p: The total prime numbers between 2 to 100 are 26. q: Zero is a complex number. r: Least common multiple (L.C.M.) of 6 and 7 is 6. Then which of the following is correct?

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  5. Question 5

    Differential Equations. Asked once: 9 May 2024 S1 (same type asked 8 times) See all 8 of this type

    140
    The particular solution of the differential equation (1+y2)dx−xy dy=0(1+y^2)dx-xy\,dy=0 at x=1,y=0x=1, y=0, represents

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