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Day 354: MHT-CET Maths

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

  1. Question 1

    Mathematical Logic. Asked once: 3 May 2023 S1 (same type asked 4 times) See all 4 of this type

    147
    Consider the following statements: p: the switch S1 is closed. q: the switch S2 is closed. r: the switch S3 is closed. Then the switching circuit represented by the statement (p∧q)∨(∼p∧(∼q∨p∨r))(p\wedge q)\vee(\sim p\wedge(\sim q\vee p\vee r)) is

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  2. Question 2

    Determinants and Matrices. Asked once: 21 Apr 2025 S2 (same type asked 4 times) See all 4 of this type

    108
    Let A be a non-singular matrix of order n and ∣A∣=k|A| =k, then (adjA)−1(adjA)^{- 1} is

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  3. Question 3

    Indefinite Integration. Asked once: 16 May 2023 S2 (same type asked 4 times) See all 4 of this type

    113
    ∫x2−4x4+9x2+16 dx=tan⁡−1(f(x))+c\int \frac{x^2-4}{x^4+9x^2+16}\,dx = \tan^{-1}(f(x)) + c (where cc is a constant of integration), then value of f(2)f(2) is

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  4. Question 4

    Determinants and Matrices. Asked once: 9 May 2023 S2 (same type asked 4 times) See all 4 of this type

    113
    For the matrix A=(20−1312−112)A = \begin{pmatrix} 2 & 0 & -1 \\ 3 & 1 & 2 \\ -1 & 1 & 2 \end{pmatrix}, the matrix of cofactors is

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  5. Question 5

    Conic Sections. Asked once: 22 Apr 2025 S1 (same type asked 4 times) See all 4 of this type

    142
    The X and Y intercepts of the tangent to the hyperbola x220−y25=1\frac{x^{2}}{20}-\frac{y^{2}}{5}= 1 which is perpendicular to the line 4x+3y=74x+ 3y= 7, are respectively

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