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Day 175: MHT-CET Maths

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

  1. Question 1

    Line and Plane. Asked once: 25 Apr 2025 S2 (same type asked 10 times) See all 10 of this type

    125
    If the line x−32=y+5−1=z+22\frac{x- 3}{2}=\frac{y+ 5}{- 1}=\frac{z+ 2}{2} lies in the plane αx+3y−z+β=0\alpha x+ 3y-z+\beta= 0, then values of α\alpha and β\beta respectively are ....

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  2. Question 2

    Linear Programming. Asked once: 18 Apr 2026 S2 (same type asked 10 times) See all 10 of this type

    97
    The maximum value of z=4x+yz = 4x + y subject to the constraints x+y≤5,2x+y≤7,3x+2y≤11,x≥0,y≥0x + y \le 5, 2x + y \le 7, 3x + 2y \le 11, x \ge 0, y \ge 0 is …\ldots

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  3. Question 3

    Applications of Definite Integral. Asked once: 11 Apr 2026 S2 (same type asked 10 times) See all 10 of this type

    84
    If the area enclosed between the curves y2=4kxy^2 = 4kx and y=kx,k>0y = kx, k > 0 is 2k3\dfrac{2k}{3} sq. units then k=k =

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  4. Question 4

    Limits. Asked once: 13 May 2024 S2 (same type asked 10 times) See all 10 of this type

    121
    If f(x)f(x) is continuous on its domain [−2,2][-2,2], where f(x)={sin⁡axx+3,−2≤x<02x+7,0≤x≤1x2+8−b,1<x≤2f(x)=\begin{cases}\frac{\sin ax}{x}+3, & -2\leq x<0\\ 2x+7, & 0\leq x\leq1\\ \sqrt{x^2+8}-b, & 1<x\leq2\end{cases} then the value of 2a+3b2a+3b is:

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  5. Question 5

    Limits. Asked once: 16 Apr 2026 S1 (same type asked 10 times) See all 10 of this type

    60
    lim⁡x→0(5x−1)4 csc⁡ (xlog⁡5)tan⁡(xlog⁡5)⋅log⁡(1+x2log⁡25)=……\displaystyle\lim_{x \to 0}\dfrac{(5^x - 1)^4\,\mathrm{\csc}\,(x\log 5)}{\tan(x\log 5)\cdot\log(1 + x^2\log 25)} = \ldots\ldots

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