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Day 375: MHT-CET Maths

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

  1. Question 1

    Complex Numbers. Asked once: 11 Apr 2026 S2 (same type asked 6 times) See all 6 of this type

    51
    If α\alpha and β\beta are the roots of the equation x2+x+1=0x^2 + x + 1 = 0 then α2026+β2026=\alpha^{2026} + \beta^{2026} =

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  2. Question 2

    Line and Plane. Asked once: 13 May 2024 S2 (same type asked 6 times) See all 6 of this type

    104
    The acute angle between the line joining the points (2,1,−3)(2,1,-3), (−3,1,7)(-3,1,7) and a line parallel to x−13=y4=z+35\frac{x-1}{3}=\frac{y}{4}=\frac{z+3}{5} through the point (−1,0,4)(-1,0,4) is

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  3. Question 3

    Trigonometric Functions. Asked once: 16 May 2023 S2 (same type asked 6 times) See all 6 of this type

    141
    The value of tan⁡−1(−3)−sin⁡−112+cos⁡−1(−12)\tan^{-1}(-\sqrt{3}) - \sin^{-1}\dfrac{1}{\sqrt{2}} + \cos^{-1}\left(-\dfrac{1}{2}\right) is

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  4. Question 4

    Line and Plane. Asked once: 9 May 2024 S2 (same type asked 6 times) See all 6 of this type

    139
    The co-ordinates of the point, where the line x−12=y−2−3=z+54\dfrac{x-1}{2}=\dfrac{y-2}{-3}=\dfrac{z+5}{4} meets the plane 2x+4y−z=32x+4y-z=3, are

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  5. Question 5

    Permutations and Combinations. Asked once: May 2022 S1 (same type asked 6 times) See all 6 of this type

    128
    If a question paper consists of 11 questions divided into two sections I and II. Section I consists of 6 questions and section II consists of 5 questions, then the number of different ways a student can select 6 questions, taking at least 2 questions from each section, is

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