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Day 192: MHT-CET Maths

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

  1. Question 1

    Vectors. Asked once: 12 May 2026 S2 (same type asked 6 times) See all 6 of this type

    91
    If ∣u⃗∣=5,∣v⃗∣=13,∣u⃗×v⃗∣=25|\vec{u}| = 5, |\vec{v}| = 13, |\vec{u} \times \vec{v}| = 25, then u⃗⋅v⃗=…\vec{u}\cdot\vec{v} = \ldots

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  2. Question 2

    Line and Plane. Asked once: 12 May 2026 S2 (same type asked 6 times) See all 6 of this type

    93
    The vector equation of the line passing through the point (1,2,−4)(1, 2, -4) and perpendicular to the two the lines x−83=y+19−16=z−107\dfrac{x - 8}{3} = \dfrac{y + 19}{-16} = \dfrac{z - 10}{7} and x−53=y−338=5−z5\dfrac{x - 5}{3} = \dfrac{y - 33}{8} = \dfrac{5 - z}{5} is...

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  3. Question 3

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

    134
    If general solution of cos⁡2θ−2sin⁡θ+14=0\cos^{2}\theta-2\sin\theta+\frac{1}{4}=0 is θ=nπA+(−1)nπB\theta=\frac{n\pi}{A}+(-1)^{n}\frac{\pi}{B}, n∈Zn\in\mathbb{Z}, then A+BA+B has the value

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  4. Question 4

    Vectors. Asked once: 12 May 2026 S2 (same type asked 6 times) See all 6 of this type

    90
    If the sum of two unit vectors is a unit vector, then the magnitude of their difference is...

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  5. Question 5

    Limits. Asked once: 14 May 2024 S1 (same type asked 6 times) See all 6 of this type

    101
    lim⁡x→∞x3{x2+1+x4−x2}=\lim_{x\to\infty}x^3\left\{\sqrt{x^2+\sqrt{1+x^4}}-x\sqrt2\right\}=

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