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Day 379: MHT-CET Maths

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

  1. Question 1

    Limits. Asked once: 14 May 2024 S1 (same type asked 5 times) See all 5 of this type

    119
    The function f(x)=[x]⋅cos⁡(2x−12π)f(x)=[x]\cdot\cos\left(\dfrac{2x-1}{2}\pi\right), where [⋅][\cdot] denotes the greatest integer function, is discontinuous at

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  2. Question 2

    Trigonometric Functions. Asked once: May 2022 S1 (same type asked 5 times) See all 5 of this type

    125
    The principal value of sin⁡−1 ⁣(sin⁡2π3)\sin^{-1}\!\left(\sin\frac{2\pi}{3}\right) is

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  3. Question 3

    Applications of Derivative. Asked once: 3 May 2023 S1 (same type asked 5 times) See all 5 of this type

    131
    A bullet is shot horizontally and its distance S cm at time t second is given by S=1200t−15t2S=1200t-15t^2, then the distance covered by the bullet when it comes to rest is

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  4. Question 4

    Line and Plane. Asked once: 3 May 2023 S2 (same type asked 5 times) See all 5 of this type

    143
    If A(−4,5,p), B(3,1,4)A(-4,5,p),\,B(3,1,4) and C(−2,0,q)C(-2,0,q) are the vertices of a triangle ABC and G(r,q,1)G(r,q,1) is its centroid, then the value of 2p+q−r2p+q-r is equal to

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  5. Question 5

    Linear Programming. Asked once: 16 May 2023 S2 (same type asked 5 times) See all 5 of this type

    103
    The shaded area in the given figure is a solution set for some system of inequalities. The maximum value of the function z=4x+3yz = 4x + 3y subject to linear constraints given by the system is

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