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Day 39: MHT-CET Maths

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

  1. Question 1

    Trigonometric Functions. This type asked 5 times: 2 May 2023 S2, 9 May 2023 S1, 11 May 2023 S1, 19 Apr 2025 S1, 20 Apr 2026 S2. This one: 20 Apr 2026 S2 See all 5 of this type

    63
    With the usual notations, if the lengths of the sides of the triangle are 3 units, 5 units and 7 units, then the largest angle of the triangle is

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  2. Question 2

    Limits. This type asked 5 times: 14 May 2024 S1, 20 Apr 2025 S2, 26 Apr 2025 S2, 11 Apr 2026 S2, 20 Apr 2026 S1. This one: 20 Apr 2026 S1 See all 5 of this type

    70
    Let [x][x] denotes the greatest integer less than or equal to x and f(x)=[tan⁡2x]f(x) = [\tan^2 x], then which of the following is true ?

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  3. Question 3

    Circle. This type asked 5 times: 2 May 2023 S2, 9 May 2024 S1, 25 Apr 2025 S1, 26 Apr 2025 S2, 19 Apr 2026 S2. This one: 19 Apr 2026 S2 See all 5 of this type

    56
    Let PA and PB be the tangent segments drawn from point P(6,8)P(6, 8) to the circle with the centre at origin O. The radius of circle for which the area of quadrilateral PAOB is maximum, is...

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  4. Question 4

    Differentiation. This type asked 5 times: 4 May 2023 S1, 9 May 2023 S1, 9 May 2024 S2, 15 Apr 2026 S1, 19 Apr 2026 S2. This one: 19 Apr 2026 S2 See all 5 of this type

    73
    If f(x)f(x) and g(x)g(x) are inverse functions of each other and f(x)=x+exf(x) = x + e^x, then g′(x)=g'(x) =...

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  5. Question 5

    Trigonometric Functions. This type asked 5 times: May 2022 S1, 10 May 2023 S1, 13 May 2024 S2, 17 Apr 2026 S2, 19 Apr 2026 S2. This one: 19 Apr 2026 S2 See all 5 of this type

    67
    The value of sin⁡−1(sin⁡5π6)+cos⁡−1(cos⁡7π6)+tan⁡−1(tan⁡2π3)\sin^{-1}\left(\sin\dfrac{5\pi}{6}\right) + \cos^{-1}\left(\cos\dfrac{7\pi}{6}\right) + \tan^{-1}\left(\tan\dfrac{2\pi}{3}\right) is equal to...

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