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Day 189: MHT-CET Maths

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

  1. Question 1

    Determinants and Matrices. Asked once: 13 May 2026 S1 (same type asked 6 times) See all 6 of this type

    68
    If A=[1321]A = \begin{bmatrix} 1 & 3 \\ 2 & 1 \end{bmatrix}, then the determinant of (A2−2A)−1(A^2 - 2A)^{-1} is...

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  2. Question 2

    Limits. Asked once: 12 May 2026 S2 (same type asked 6 times) See all 6 of this type

    70
    If f(x)={tan⁡x−cot⁡xx−π4,x≠π4a,x=π4f(x) = \begin{cases} \dfrac{\tan x - \cot x}{x - \frac{\pi}{4}}, & x \neq \frac{\pi}{4} \\ a, & x = \frac{\pi}{4} \end{cases}, then the value of ′a′'a' so that f(x)f(x) is continuous at x=π/4x = \pi/4 is...

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  3. Question 3

    Mathematical Logic. Asked once: 17 Apr 2026 S2 (same type asked 6 times) See all 6 of this type

    59
    The negation of (p∧q)→((p∨r)→∼q)(p \wedge q) \to ((p \vee r) \to \sim q) is equivalent to ...

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  4. Question 4

    Sets, Relations and Functions. Asked once: 18 Apr 2026 S2 (same type asked 6 times) See all 6 of this type

    69
    The domain of the function f(x)=x1+xf(x) = \sqrt{\dfrac{x}{1 + x}} is …\ldots

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  5. Question 5

    Differential Equations. Asked once: 11 May 2023 S2 (same type asked 6 times) See all 6 of this type

    104
    An ice ball melts at the rate which is proportional to the amount of ice at that instant. Half of the quantity of ice melts in 15 minutes. x0x_0 is the initial quantity of ice. If after 30 minutes the amount of ice left is kx0kx_0, then the value of k is

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