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Day 125: MHT-CET Maths

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

  1. Question 1

    Determinants and Matrices. Asked 2 times: 13 May 2024 S2, 20 Apr 2025 S1 See all 2 times it was asked

    148
    If A=[1tan⁡x−tan⁡x1]A =\begin{bmatrix} 1 & \tan x \\ - \tan x & 1 \end{bmatrix}, then ATA−1=A^{T}A^{- 1}=

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  2. Question 2

    Mathematical Logic. Asked 2 times: 13 May 2024 S2, 20 Apr 2025 S1 See all 2 times it was asked

    117
    If a statement qq has truth value False and (p∧q)↔r(p\land q) \leftrightarrow r has truth value True then which of the following has truth value true?

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  3. Question 3

    Vectors. Asked 2 times: 9 May 2024 S2, 20 Apr 2025 S1 See all 2 times it was asked

    113
    Let aˉ\bar{a} and bˉ\bar{b} be two vectors such that ∣a‾∣=1,∣ b‾∣=4,a‾⋅b‾=2|\overline{a}| = 1,|\overline{\text{ }b}| = 4,\overline{a}\cdot\overline{b}= 2. If c‾=(2a‾×b‾)−3 b‾\overline{c}= (2\overline{a}\times\overline{b}) - 3\overline{\text{ }b}, then the angle between b‾\overline{b} and c‾\overline{c} is

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  4. Question 4

    Differentiation. Asked 2 times: 10 May 2023 S1, 19 Apr 2025 S1 See all 2 times it was asked

    133
    For n∈Nn \in\mathbb{N} if y=axn+1+bx−ny= ax^{n + 1}+ bx^{- n}, then x2 d2y dx2=x^{2}\frac{{\text{ }d}^{2}y}{\text{ }dx^{2}}=

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  5. Question 5

    Mathematical Logic. Asked 2 times: 14 May 2024 S1, 19 Apr 2025 S1 See all 2 times it was asked

    109
    The statement pattern [(p→q)∧−q]→r\lbrack(p\rightarrow q) \land -q\rbrack \rightarrow r is a tautology when r is equivalent to

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