PYQ Vault
EbooksTutor

Day 384: MHT-CET Maths

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

  1. Question 1

    Differential Equations. Asked once: 11 May 2023 S1 (same type asked 10 times) See all 10 of this type

    137
    The particular solution of the differential equation xydydx=x2+2y2xy\frac{dy}{dx} = x^2 + 2y^2 when y(1)=0y(1) = 0 is

    Tap an option to check your answer.

  2. Question 2

    Limits. Asked once: 16 Apr 2026 S2 (same type asked 10 times) See all 10 of this type

    59
    If lim⁡x→045x−9x−5x+1(kx−1)(3x−1)=2\displaystyle\lim_{x \to 0}\dfrac{45^x - 9^x - 5^x + 1}{(k^x - 1)(3^x - 1)} = 2, then the value of kk is ...

    Tap an option to check your answer.

  3. Question 3

    Limits. Asked once: 9 May 2024 S2 (same type asked 10 times) See all 10 of this type

    140
    lim⁡x→0(1−cos⁡2x)⋅sin⁡5xx2sin⁡3x\lim_{x\to 0}\dfrac{(1-\cos 2x)\cdot\sin 5x}{x^2\sin 3x} is

    Tap an option to check your answer.

  4. Question 4

    Differentiation. Asked once: 10 May 2023 S2 (same type asked 10 times) See all 10 of this type

    136
    Derivative of tan⁡−1 ⁣(1−x1+x)\tan^{-1}\!\left(\frac{1-x}{1+x}\right) w.r.t. cos⁡−1(4x3−3x)\cos^{-1}(4x^3-3x) is

    Tap an option to check your answer.

  5. Question 5

    Linear Programming. Asked once: 11 May 2024 S2 (same type asked 10 times) See all 10 of this type

    105
    The maximum value of Z=3x+5yZ = 3x+5y subject to the constraints 3x+2y≤183x+2y \leq 18, x≤4x \leq 4, y≤6y \leq 6, x,y≥0x,y \geq 0, is

    Tap an option to check your answer.