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Day 161: MHT-CET Maths

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

  1. Question 1

    Probability Distribution. This type asked 2 times: 15 May 2023 S1, 26 Apr 2025 S2. This one: 26 Apr 2025 S2 See all 2 of this type

    127
    The probability that a non leap year selected at random will contain 52 Saturdays or 53 Sundays is

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  2. Question 2

    Trigonometric Functions. This type asked 2 times: 14 May 2024 S1, 26 Apr 2025 S2. This one: 26 Apr 2025 S2 See all 2 of this type

    122
    If the angles A,BA,B and C of a triangle are in A.P. and if a,ba,b and cc denote the length of the sides opposite to A,BA,B and C respectively, then the value of absin⁡2B+basin⁡2A\frac{a}{b}\sin 2B+\frac{b}{a}\sin 2A is

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  3. Question 3

    Applications of Derivative. This type asked 2 times: 20 Apr 2025 S2, 26 Apr 2025 S1. This one: 26 Apr 2025 S1 See all 2 of this type

    133
    A manufacturer sells xx items at a price of rupees (6−x40)\left( 6 -\frac{x}{40} \right) each. The cost price of xx items is ₹ (x5+193)\left( \frac{x}{5}+ 193 \right). The maximum profit in ₹ ____\_\_\_\_ is

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  4. Question 4

    Definite Integration. This type asked 2 times: 10 May 2024 S2, 26 Apr 2025 S1. This one: 26 Apr 2025 S1 See all 2 of this type

    117
    ∫01tan⁡−1x dx=\int_{0}^{1} \tan^{- 1}x\text{ }dx=

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  5. Question 5

    Pair of Straight Lines. This type asked 2 times: 22 Apr 2025 S2, 26 Apr 2025 S1. This one: 26 Apr 2025 S1 See all 2 of this type

    128
    The circumcenter of the triangle formed by lines xy+2x+2y+4=0xy+ 2x+ 2y+ 4 = 0 and x+y+2=0x+y+ 2 = 0 is

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