PYQ Vault
EbooksTutor

Day 288: MHT-CET Maths

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

  1. Question 1

    Mathematical Logic. Asked once: 16 May 2023 S2 (same type asked 6 times) See all 6 of this type

    149
    The statement ∼(p↔∼q)\sim(p \leftrightarrow \sim q) is

    Tap an option to check your answer.

  2. Question 2

    Trigonometric Functions. Asked once: 19 Apr 2025 S2 (same type asked 6 times) See all 6 of this type

    117
    The value of sin⁡−1(−12)+cos⁡−1(−12)− cot⁡−1(−13)+tan⁡−1(−3) is\sin^{- 1}\left( -\frac{1}{\sqrt{2}} \right)+\cos^{- 1}\left( -\frac{1}{2} \right)- \ \cot^{- 1}\left( -\frac{1}{\sqrt{3}} \right)+\tan^{- 1}( -\sqrt{3})\text{~is}

    Tap an option to check your answer.

  3. Question 3

    Trigonometric Functions. Asked once: 12 May 2024 S1 (same type asked 6 times) See all 6 of this type

    148
    The value of sin⁡(cot⁡−1x)\sin(\cot^{-1}x) is

    Tap an option to check your answer.

  4. Question 4

    Line and Plane. Asked once: 13 May 2024 S2 (same type asked 6 times) See all 6 of this type

    117
    The distance of the point (1,6,2)(1,6,2) from the point of intersection of the line x−23=y+14=z−212\frac{x-2}{3}=\frac{y+1}{4}=\frac{z-2}{12} and the plane x−y+z=16x-y+z=16 is:

    Tap an option to check your answer.

  5. Question 5

    Measures of Dispersion. Asked once: May 2022 S1 (same type asked 6 times) See all 6 of this type

    119
    The variance and mean of 15 observations are respectively 6 and 10. If each observation is increased by 8 then the new variance and new mean of resulting observations are respectively

    Tap an option to check your answer.