PYQ Vault

Day 486: MHT-CET Maths

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

  1. Question 1

    Trigonometric Functions. Asked once: 17 Apr 2026 S2

    61
    In △ABC\triangle ABC, with usual notation, if cot A, cot B, cot C are in arithmetic progression, then

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  2. Question 2

    Trigonometry - II. Asked once: 21 Apr 2025 S2

    122
    The value of tan⁡20∘tan⁡80∘cot⁡50∘=\tan20^{\circ}\tan80^{\circ}\cot50^{\circ}=

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  3. Question 3

    Vectors. Asked once: 20 Apr 2026 S2

    92
    Given the following expressions A) (a⃗×b⃗)⋅c⃗(\vec{a} \times \vec{b})\cdot\vec{c} B) a⃗×(b⃗⋅c⃗)\vec{a} \times (\vec{b}\cdot\vec{c}) C) a⃗⋅(b⃗⋅c⃗)\vec{a}\cdot(\vec{b}\cdot\vec{c}) D) ∣a⃗∣(b⃗⋅c⃗)|\vec{a}|(\vec{b}\cdot\vec{c}) E) (a⃗⋅b⃗)×(b⃗⋅c⃗)(\vec{a}\cdot\vec{b}) \times (\vec{b}\cdot\vec{c}) Then which of the following is not correct

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  4. Question 4

    Applications of Derivative. Asked once: 26 Apr 2025 S2

    108
    The minimum value of ax+byax+by where xy=c2xy=c^{2} is

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  5. Question 5

    Conic Sections. Asked once: 23 Apr 2025 S1

    148
    If the tangent at the point (2secθ,3tan⁡θ)(2sec\theta,3\tan\theta) to the hyperbola x24−y29=1\frac{x^{2}}{4}-\frac{y^{2}}{9}= 1 is parallel to 3x−y+4=03x-y+ 4 = 0, then the value of θ\theta is

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