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Day 356: MHT-CET Maths

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

  1. Question 1

    Linear Programming. Asked once: May 2021 S1 (same type asked 4 times) See all 4 of this type

    143
    The constraints −x1+x2≤1-x_1 + x_2 \leq 1, −x1+3x2≤9-x_1 + 3x_2 \leq 9 and x1,x2≥0x_1, x_2 \geq 0 define

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  2. Question 2

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

    102
    ∫2x2−1(x2+4)(x2−3) dx=\int\frac{2x^2-1}{(x^2+4)(x^2-3)}\,dx=

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  3. Question 3

    Definite Integration. Asked once: 11 Apr 2026 S1 (same type asked 4 times) See all 4 of this type

    82
    If ∫1a(2x+1) dx=5\displaystyle\int_1^a(2x + 1)\,dx = 5, then the sum of the values of aa is..

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  4. Question 4

    Complex Numbers. Asked once: 9 May 2023 S1 (same type asked 4 times) See all 4 of this type

    140
    If Z=−21+3iZ=\frac{-2}{1+\sqrt{3}i}, i=−1i=\sqrt{-1}, then the value of arg⁡(Z)\arg(Z) is

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  5. Question 5

    Vectors. Asked once: 2 May 2023 S2 (same type asked 4 times) See all 4 of this type

    128
    The area of the triangle whose vertices are A(1,−1,2)A(1,-1,2), B(2,1,−1)B(2,1,-1) and C(3,−1,2)C(3,-1,2) is

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