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Motion in a Plane

MHT-CET Physics. Try each one first, then open its answer.

Top 10 MHT-CET PYQs to practise first

The questions and kinds of question asked most often come first. Each one says how often and in which papers.

  1. Question 1

    This type asked 7 times: 23 Apr 2025 S1, 13 Apr 2026 S2, 16 Apr 2026 S2, 17 Apr 2026 S2, 20 Apr 2026 S2, 12 May 2026 S1, 13 May 2026 S2. This one: 13 May 2026 S2 See all 7 of this type

    101
    The vector P⃗=ai^+aj^+3k^\vec{P} = a\hat{i} + a\hat{j} + 3\hat{k} and Q⃗=ai^−2j^−k^\vec{Q} = a\hat{i} - 2\hat{j} - \hat{k} are perpendicular to each other. Then positive value of 'aa' is

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  2. Question 2

    This type asked 4 times: 19 Apr 2025 S2, 12 May 2026 S2, 14 May 2026 S1, 14 May 2026 S2. This one: 14 May 2026 S2 See all 4 of this type

    101
    The resultant R⃗\vec{R} of P⃗\vec{P} and Q⃗\vec{Q} is perpendicular to P⃗\vec{P}. Also ∣P⃗∣=∣R⃗∣|\vec{P}| = |\vec{R}|. The angle between P⃗\vec{P} and Q⃗\vec{Q} is (tan⁡45∘=1)(\tan 45^\circ = 1)

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  3. Question 3

    This type asked 4 times: 16 Apr 2026 S2, 17 Apr 2026 S1, 20 Apr 2026 S2, 13 May 2026 S2. This one: 13 May 2026 S2 See all 4 of this type

    103
    If two spheres are projected at angles 45∘45^\circ and 60∘60^\circ with horizontal and the maximum heights reached are same. The ratio of their initial velocities is (sin⁡45∘=12,sin⁡60∘=32)\left(\sin 45^\circ = \dfrac{1}{\sqrt{2}}, \sin 60^\circ = \dfrac{\sqrt{3}}{2}\right)

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  4. Question 4

    This type asked 4 times: 19 Apr 2025 S2, 15 Apr 2026 S2, 17 Apr 2026 S2, 13 May 2026 S1. This one: 13 May 2026 S1 See all 4 of this type

    103
    A particle is projected from ground with speed u and at an angle θ\theta with horizontal. If at maximum height from ground, the speed of a particle is half times its initial velocity of projection then its maximum height attained is (cos⁡60∘=0.5,sin⁡60∘=3/2)(\cos 60^\circ = 0.5, \sin 60^\circ = \sqrt{3}/2) (g = acceleration due to gravity)

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  5. Question 5

    Asked 3 times: 25 Apr 2025 S1, 25 Apr 2025 S2, 16 Apr 2026 S1 See all 3 times it was asked

    104
    Two boys are standing at points A and B on ground where distance AB = a. The boy at point B starts running perpendicular to line AB with velocity 'V1V_1'. The boy at point A starts running simultaneously with velocity 'V' and catches the other boy in time 't'. The value of 't' is

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  6. Question 6

    Asked 3 times: 10 May 2024 S2, 19 Apr 2025 S2*, 15 Apr 2026 S1 (* = numbers or wording changed that year) See all 3 times it was asked

    104
    A particle performing U.C.M. of radius π2\dfrac{\pi}{2} m makes 'x' revolutions in time t. Its tangential velocity is

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  7. Question 7

    Asked 3 times: 26 Apr 2025 S2, 11 Apr 2026 S2, 13 Apr 2026 S1 See all 3 times it was asked

    102
    The vector sum of the two forces A⃗\vec{A} and B⃗\vec{B} is perpendicular to their vector difference. Hence forces A⃗\vec{A} and B⃗\vec{B} are

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  8. Question 8

    This type asked 3 times: 19 Apr 2026 S2, 15 May 2026 S2, 19 May 2026 S2. This one: 19 May 2026 S2 See all 3 of this type

    103
    The minute hand of a wall-clock is 1010 cm long. The average velocity of the tip of the minute hand between 6.006.00 am to 7.307.30 am is

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  9. Question 9

    This type asked 3 times: 25 Apr 2025 S1, 26 Apr 2025 S1, 19 May 2026 S2. This one: 19 May 2026 S2 See all 3 of this type

    101
    A vector A⃗\vec{A} of magnitude 727\sqrt{2} unit, another vector B⃗\vec{B} of magnitude 1414 unit are inclined at an angle of 60∘60^\circ. The magnitude of the scalar product (A⃗⋅B⃗)(\vec{A} \cdot \vec{B}) is [cos⁡(60)∘=12]\left[\cos(60)^\circ = \dfrac{1}{2}\right]

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  10. Question 10

    This type asked 3 times: 20 Apr 2025 S2, 21 Apr 2025 S2, 15 Apr 2026 S1. This one: 15 Apr 2026 S1 See all 3 of this type

    102
    A vector A⃗\vec{A} when added to the sum of the vectors (i^−2j^+2k^)(\hat{i} - 2\hat{j} + 2\hat{k}) and (−2i^+j^−k^)(-2\hat{i} + \hat{j} - \hat{k}) gives a unit vector along Y axis. The magnitude of vector A⃗\vec{A} is

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