PYQ Vault
EbooksTutor

Day 111: MHT-CET Maths

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

  1. Question 1

    Trigonometric Functions. Asked 2 times: 11 Apr 2026 S2, 15 Apr 2026 S1 See all 2 times it was asked

    53
    In △ABC\triangle ABC, with the usual notations, ∠C=90∘\angle C = 90^\circ, then sin⁡(A−B)\sin(A-B) is equal to....

    Tap an option to check your answer.

  2. Question 2

    Vectors. Asked 2 times: 13 Apr 2026 S1, 15 Apr 2026 S1 See all 2 times it was asked

    90
    The vector rˉ\bar{r} whose magnitude is 323\sqrt{2} units and which makes angles of π4\dfrac{\pi}{4} and π2\dfrac{\pi}{2} with the positive y- and z-axes respectively is....

    Tap an option to check your answer.

  3. Question 3

    Vectors. Asked 2 times: 20 Apr 2025 S2*, 15 Apr 2026 S1 (* = numbers or wording changed that year) See all 2 times it was asked

    88
    If aˉ\bar{a} and bˉ\bar{b} are unit vectors and θ (0<θ<π)\theta\ (0 < \theta < \pi) is the angle between them, then the value of ∣aˉ+bˉ∣∣aˉ−bˉ∣\dfrac{|\bar{a} + \bar{b}|}{|\bar{a} - \bar{b}|} is equal to...

    Tap an option to check your answer.

  4. Question 4

    Line and Plane. Asked 2 times: 20 Apr 2025 S2, 13 Apr 2026 S2 See all 2 times it was asked

    95
    The equation of the plane passing through the intersection of planes 2x−y+z=32x - y + z = 3, 4x−3y+5z=−94x - 3y + 5z = -9 and parallel to the line x+12=y+34=z−35\dfrac{x + 1}{2} = \dfrac{y + 3}{4} = \dfrac{z - 3}{5} is...

    Tap an option to check your answer.

  5. Question 5

    Mathematical Logic. Asked 2 times: 11 Apr 2026 S1, 13 Apr 2026 S2 See all 2 times it was asked

    62
    If the truth value of the compound statement [(p∨q)∧(q→r)∧(∼r)]→(p∧q)[(p \vee q) \wedge (q \to r) \wedge (\sim r)] \to (p \wedge q) is false, then the truth values of p→qp \to q and q→pq \to p are respectively...

    Tap an option to check your answer.