PYQ Vault
EbooksTutor

Day 313: MHT-CET Maths

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

  1. Question 1

    Conic Sections. Asked once: 16 Apr 2026 S1 (same type asked 3 times) See all 3 of this type

    59
    If the line y=2x+λy = 2x + \lambda is a tangent to the hyperbola 36x2−25y2=360036x^2 - 25y^2 = 3600, then λ=\lambda =

    Tap an option to check your answer.

  2. Question 2

    Indefinite Integration. Asked once: 13 Apr 2026 S2 (same type asked 3 times) See all 3 of this type

    77
    If ∫x2⋅ex dx=exf(x)+c\displaystyle\int x^2 \cdot e^x\,dx = e^x f(x) + c, then the minimum value of f(x)f(x) is ...

    Tap an option to check your answer.

  3. Question 3

    Limits. Asked once: 26 Apr 2025 S1 (same type asked 3 times) See all 3 of this type

    140
    lim⁡x→∞(2x+1)50+(2x+2)50+(2x+3)50+...+(2x+100)50(2x)50+(10)50=\lim_{x\rightarrow \infty} \frac{(2x+ 1)^{50}+ (2x+ 2)^{50}+ (2x+ 3)^{50}+ ... + (2x+ 100)^{50}}{(2x)^{50}+ (10)^{50}}=

    Tap an option to check your answer.

  4. Question 4

    Vectors. Asked once: 17 Apr 2026 S2 (same type asked 3 times) See all 3 of this type

    91
    Let a⃗=λi^+j^+k^,b⃗=2i^+4j^+4k^,c⃗=i^+μj^+k^\vec{a} = \lambda\hat{i} + \hat{j} + \hat{k}, \vec{b} = 2\hat{i} + 4\hat{j} + 4\hat{k}, \vec{c} = \hat{i} + \mu\hat{j} + \hat{k} If a⃗\vec{a} is parallel to b⃗\vec{b} and b⃗\vec{b} is perpendicular to c⃗\vec{c} then λ−μ=…\lambda - \mu = \ldots

    Tap an option to check your answer.

  5. Question 5

    Definite Integration. Asked once: 23 Apr 2025 S1 (same type asked 3 times) See all 3 of this type

    121
    The value of ∫01tan⁡−1(1−x+x2)dx\int_{0}^{1} \tan^{- 1}\left( 1 -x+x^{2} \right)dx is

    Tap an option to check your answer.