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Day 48: MHT-CET Maths

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

  1. Question 1

    Differentiation. Asked 4 times: 15 May 2023 S2, 16 May 2023 S1, 9 May 2024 S1, 20 Apr 2025 S1 See all 4 times it was asked

    142
    If f(1)=1,f′(1)=3f(1) = 1,f^{'}(1) = 3, then the derivative of f(f(f(x)))+(f(x))2f(f(f(x))) + (f(x))^{2} at x=1x= 1 is

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  2. Question 2

    Differential Equations. Asked 4 times: 2 May 2023 S1*, 2 May 2023 S2*, 3 May 2023 S2*, 14 May 2024 S2 (* = numbers or wording changed that year) See all 4 times it was asked

    135
    If a body cools from 80°C80°C to 50°C50°C in a room temperature of 25°C25°C in 30 minutes, then the temperature of the body after 1 hour is

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  3. Question 3

    Binomial Distribution. Asked 4 times: May 2022 S1, 3 May 2023 S2, 9 May 2024 S2, 11 May 2024 S2 See all 4 times it was asked

    142
    Two cards are drawn successively with replacement from a well shuffled pack of 52 cards. Then mean of number of tens is

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  4. Question 4

    Vectors. Asked 4 times: 10 May 2023 S1*, 11 May 2023 S1, 16 May 2023 S1, 10 May 2024 S1 (* = numbers or wording changed that year) See all 4 times it was asked

    148
    (a⃗×b⃗)×c⃗=13∣b⃗∣∣c⃗∣a⃗(\vec{a}\times\vec{b})\times\vec{c}=\frac{1}{3}|\vec{b}||\vec{c}|\vec{a}. Angle θ\theta between b⃗\vec{b} and c⃗\vec{c}: value of sin⁡θ\sin\theta is

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  5. Question 5

    Complex Numbers. This type asked 4 times: 2 May 2023 S2, 10 May 2024 S1, 20 Apr 2025 S1, 19 May 2026 S2. This one: 19 May 2026 S2 See all 4 of this type

    52
    If ∣z−5i∣=∣z+3∣|z - 5i| = |z + 3|, where zz is a complex number, then the equation of the locus of zz in Cartesian coordinates is ...

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