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Day 251: MHT-CET Maths

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

  1. Question 1

    Applications of Derivative. Asked once: 20 Apr 2025 S1 (same type asked 2 times) See all 2 of this type

    105
    The shortest distance between the line y−x=1y-x= 1 and the curve x=y2x=y^{2} is

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  2. Question 2

    Complex Numbers. Asked once: 20 Apr 2025 S2 (same type asked 2 times) See all 2 of this type

    140
    The value of (cos⁡θ+isinθ)4(sin⁡θ+icosθ)5=\frac{(\cos\theta+isin\theta)^{4}}{(\sin\theta+icos\theta)^{5}}=where i=−1i =\sqrt{- 1}

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  3. Question 3

    Applications of Derivative. Asked once: 14 May 2024 S1 (same type asked 2 times) See all 2 of this type

    124
    Let f(x)=∫x2−3x+2x4+1 dxf(x)=\int\dfrac{x^2-3x+2}{x^4+1}\,dx, then function decreases in the interval.

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  4. Question 4

    Applications of Derivative. Asked once: 25 Apr 2025 S2 (same type asked 2 times) See all 2 of this type

    140
    If f(x)=log⁡(1+x)−2x2+xf(x) = \log(1 +x) -\frac{2x}{2 +x} then f(x)f(x) is increasing in

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  5. Question 5

    Indefinite Integration. Asked once: 3 May 2023 S2 (same type asked 2 times) See all 2 of this type

    121
    The value of ∫sin⁡ ⁣x dx\int\sin\!\sqrt{x}\,dx is equal to

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