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Day 240: MHT-CET Maths

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

  1. Question 1

    Differentiation. Asked once: 10 May 2024 S2 (same type asked 3 times) See all 3 of this type

    123
    Let S={t∈R:f(x)=∣x−π∣(e∣x∣−1)sin⁡∣x∣S=\{t\in\mathbb{R}: f(x)=|x-\pi|(e^{|x|}-1)\sin|x| is not differentiable at t}t\}, then SS is

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  2. Question 2

    Differential Equations. Asked once: 16 May 2023 S2 (same type asked 3 times) See all 3 of this type

    106
    The slope of tangent at (x,y)(x,y) to a curve passing through (1,π4)\left(1, \frac{\pi}{4}\right) is yx−cos⁡2yx\frac{y}{x} - \cos^2\frac{y}{x}, then the equation of curve is

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  3. Question 3

    Vectors. Asked once: 16 May 2023 S2 (same type asked 3 times) See all 3 of this type

    122
    If a⃗=2i^−j^+k^\vec{a} = 2\hat{i}-\hat{j}+\hat{k}, b⃗=i^+j^−2k^\vec{b} = \hat{i}+\hat{j}-2\hat{k} and c⃗=4i^−2j^+k^\vec{c} = 4\hat{i}-2\hat{j}+\hat{k}, then the unit vector in the direction of 3a⃗+b⃗−2c⃗3\vec{a}+\vec{b}-2\vec{c} is

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  4. Question 4

    Mathematical Logic. Asked once: 2 May 2023 S1 (same type asked 3 times) See all 3 of this type

    140
    If statement I: If the work is not finished on time, the contractor is in trouble. Statement II: Either the work is finished on time or the contractor is in trouble. Then

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  5. Question 5

    Applications of Derivative. Asked once: May 2021 S1 (same type asked 2 times) See all 2 of this type

    138
    The slant height of a right circular cone is 3 cm. The height of the cone for maximum volume is

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