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Day 363: MHT-CET Maths

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

  1. Question 1

    Applications of Definite Integral. Asked once: 9 May 2024 S1 (same type asked 10 times) See all 10 of this type

    141
    The area (in sq. units) of the region A={(x,y):y22≤x≤y+4}A=\{(x,y): \frac{y^2}{2}\leq x\leq y+4\} is

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  2. Question 2

    Limits. Asked once: 4 May 2023 S1 (same type asked 10 times) See all 10 of this type

    148
    Let a,b∈R (a≠0)a,b\in\mathbb{R}\,(a\neq0). If the function ff is defined as f(x)={2x2a,0≤x<1a,1≤x<22b2−4bx,2≤x<∞f(x)=\begin{cases}\frac{2x^2}{a},&0\leq x<1\\a,&1\leq x<\sqrt{2}\\\frac{2b^2-4b}{x},&\sqrt{2}\leq x<\infty\end{cases} is continuous in [0,∞)[0,\infty), then an ordered pair (a,b)(a,b) is

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  3. Question 3

    Limits. Asked once: 13 Apr 2026 S1 (same type asked 10 times) See all 10 of this type

    60
    lim⁡x→0[log⁡∣2+x∣−log⁡∣2−x∣tan⁡x]=…….\displaystyle\lim_{x \to 0}\left[\dfrac{\log|2 + x| - \log|2 - x|}{\tan x}\right] = \ldots\ldots.

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  4. Question 4

    Line and Plane. Asked once: 15 May 2023 S2 (same type asked 9 times) See all 9 of this type

    128
    The vector equation of the plane through the line of intersection of the planes x+y+z=1x+y+z=1 and 2x+3y+4z=52x+3y+4z=5, which is perpendicular to the plane x−y+z=0x-y+z=0, is

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  5. Question 5

    Mathematical Logic. Asked once: 12 May 2024 S1 (same type asked 9 times) See all 9 of this type

    140
    The inverse of the statement "If the surface area increases, then the pressure decreases" is

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