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Day 333: MHT-CET Maths

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

  1. Question 1

    Determinants and Matrices. Asked once: 20 Apr 2025 S2 (same type asked 8 times) See all 8 of this type

    127
    If [133144134][xyz]=[121513]\begin{bmatrix} 1 & 3 & 3 \\ 1 & 4 & 4 \\ 1 & 3 & 4 \end{bmatrix}\begin{bmatrix} x \\ y \\ z \end{bmatrix}=\begin{bmatrix} 12 \\ 15 \\ 13 \end{bmatrix}, then the value of x2+y2+z2=x^{2}+y^{2}+z^{2}=

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  2. Question 2

    Applications of Derivative. Asked once: 11 May 2024 S1 (same type asked 8 times) See all 8 of this type

    109
    Value of c satisfying the conditions and conclusions of Rolle's theorem for the function f(x)=xx+6,  x∈[−6,0]f(x) = x\sqrt{x+6},\; x \in [-6,0] is

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  3. Question 3

    Binomial Distribution. Asked once: 16 Apr 2026 S1 (same type asked 8 times) See all 8 of this type

    100
    Two dice are thrown successively 4 times and getting a doublet is called a success. The probability of getting at least 1 success is

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  4. Question 4

    Applications of Derivative. Asked once: 15 Apr 2026 S2 (same type asked 8 times) See all 8 of this type

    74
    The surface area of a spherical ball is increasing at the rate of 4π cm24\pi\ \mathrm{cm^2}/second. The rate at which the radius is increasing when the surface area is 16π cm216\pi\ \mathrm{cm^2} is

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  5. Question 5

    Definite Integration. Asked once: 18 Apr 2026 S1 (same type asked 8 times) See all 8 of this type

    83
    If [⋅][\cdot] denotes the greatest integer function, then ∫0π/3[tan⁡x] dx=\int_0^{\pi/3}[\tan x]\,dx =

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