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Day 308: MHT-CET Maths

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

  1. Question 1

    Applications of Derivative. Asked once: 12 May 2024 S1 (same type asked 4 times) See all 4 of this type

    111
    The angle between the tangents to the curves y=2x2y=2x^{2} and x=2y2x=2y^{2} at (1,1)(1,1) is

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  2. Question 2

    Vectors. Asked once: 15 May 2023 S2 (same type asked 4 times) See all 4 of this type

    130
    One side and one diagonal of a parallelogram are represented by 3i^+j^−k^3\hat{i}+\hat{j}-\hat{k} and 2i^+j^−2k^2\hat{i}+\hat{j}-2\hat{k} respectively, then the area of parallelogram in square units is

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  3. Question 3

    Vectors. Asked once: 10 May 2024 S1 (same type asked 4 times) See all 4 of this type

    149
    Scalar projection of segment AB on line with d.r.s 6,-2,3. A(-2,0,3), B(1,4,2).

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  4. Question 4

    Applications of Derivative. Asked once: 16 May 2023 S1 (same type asked 4 times) See all 4 of this type

    125
    The set of all points, for which f(x)=x2e−xf(x) = x^2 e^{-x} strictly increases, is

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  5. Question 5

    Indefinite Integration. Asked once: 14 May 2024 S1 (same type asked 4 times) See all 4 of this type

    127
    If ∫cos⁡θ5+7sin⁡θ−2cos⁡2θ dθ=Alog⁡e∣f(θ)∣+c\int\dfrac{\cos\theta}{5+7\sin\theta-2\cos^2\theta}\,d\theta=A\log_e|f(\theta)|+c (where cc is a constant of integration), then f(θ)A\dfrac{f(\theta)}{A} can be

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