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Day 247: MHT-CET Maths

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

  1. Question 1

    Vectors. Asked once: 2 May 2023 S2 (same type asked 2 times) See all 2 of this type

    138
    If a⃗=i^+2j^+3k^\vec{a} = \hat{i}+2\hat{j}+3\hat{k} and b⃗=i^×(a⃗×i^)+j^×(a⃗×j^)+k^×(a⃗×k^)\vec{b} = \hat{i}\times(\vec{a}\times\hat{i})+\hat{j}\times(\vec{a}\times\hat{j})+\hat{k}\times(\vec{a}\times\hat{k}), then ∣b⃗∣|\vec{b}| is

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  2. Question 2

    Applications of Derivative. Asked once: 10 May 2024 S1 (same type asked 2 times) See all 2 of this type

    128
    A kite is 120 m high and 130 m of string is out. If the kite is moving away horizontally at the rate of 39 m/sec, then the rate at which the string is being let out is

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  3. Question 3

    Limits. Asked once: 21 Apr 2025 S2 (same type asked 2 times) See all 2 of this type

    135
    lim⁡n→∞[11−n4+81−n4+…………+n31−n4]=\lim_{n\rightarrow \infty} \left\lbrack \frac{1}{1 -n^{4}}+\frac{8}{1 -n^{4}}+ \ldots\ldots\ldots\ldots +\frac{n^{3}}{1 -n^{4}} \right\rbrack=

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  4. Question 4

    Line and Plane. Asked once: 16 Apr 2026 S2 (same type asked 2 times) See all 2 of this type

    96
    The values of p and q so that the line joining the points (7, p, 2) and (q, -2, 5) may be parallel to the line joining the points (2, -3, 5) and (-6, -15, 11) are

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  5. Question 5

    Line and Plane. Asked once: 13 Apr 2026 S2 (same type asked 2 times) See all 2 of this type

    94
    The equation of a line passing through a point (4,−2,3)(4, -2, 3) and perpendicular to the XZ-plane is....

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