PYQ Vault
EbooksTutor

Day 123: MHT-CET Maths

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

  1. Question 1

    Limits. Asked 2 times: 21 Apr 2025 S1*, 21 Apr 2025 S2 (* = numbers or wording changed that year) See all 2 times it was asked

    109
    If f(x)={8x−4x−2x+1xx2, if x>0exsin⁡x+ix+λlog⁡4, if x⩽0,i∈Rf(x) =\left\{ \begin{matrix} \frac{8^{x}-4^{x}-2^{x}+1^{x}}{x^{2}}, & \text{~if~}x> 0 \\ e^{x}\sin x+ix+\lambda \log4, & \text{~if~}x\leqslant 0,i\in\mathbb{R} \end{matrix} \right. is continuous at x=0x= 0, then the value of 500eλ500e^{\lambda} is

    Tap an option to check your answer.

  2. Question 2

    Mathematical Logic. Asked 2 times: 4 May 2023 S1, 21 Apr 2025 S2 See all 2 times it was asked

    131
    If [(p∧∼q)∧(p∧r)]→(∼p∨q)[(p\land \sim q) \land (p\land r)] \to (\sim p\vee q) has truth value false then truth values of the statements p,q,rp,q,r are respectively

    Tap an option to check your answer.

  3. Question 3

    Straight Line. Asked 2 times: 10 May 2024 S1, 21 Apr 2025 S2 See all 2 times it was asked

    148
    The points (1,3)(1,3) and (5,1)(5,1) are two opposite vertices of a rectangle. The other two vertices are lie on the line y=2x+cy= 2x+ c where c is the constant, then co-ordinates of other two vertices are

    Tap an option to check your answer.

  4. Question 4

    Vectors. Asked 2 times: 2 May 2023 S1, 21 Apr 2025 S2 See all 2 times it was asked

    124
    The value of m∈Rm\in\mathbb{R}, when angle between the vectors pˉ=myi^−6j^+3k^\bar{p}=my\widehat{i}- 6\widehat{j}+ 3\widehat{k} and qˉ=yi^+2j^+2myk^\bar{q}=y\widehat{i}+ 2\widehat{j}+ 2my\widehat{k} is obtuse angle, is

    Tap an option to check your answer.

  5. Question 5

    Line and Plane. Asked 2 times: 14 May 2024 S2, 21 Apr 2025 S1 See all 2 times it was asked

    144
    The line of intersection of the planes r‾⋅(3i^−j^+k^)=1\overline{r}\cdot (3\widehat{i}-\widehat{j}+\widehat{k}) = 1 and  r‾⋅(i^+4j^−2k^)=2\ \overline{r}\cdot (\widehat{i}+ 4\widehat{j}- 2\widehat{k}) = 2 is parallel to the vector

    Tap an option to check your answer.