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Day 421: MHT-CET Maths

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

  1. Question 1

    Binomial Distribution. Asked once: 26 Apr 2025 S2

    139
    A fair coin is tossed a fixed number of times. If the probability of getting 5 tails is same as the probability of getting 7 tails, then the probability of getting 3 tails is

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  2. Question 2

    Circle. Asked once: 15 May 2026 S1

    58
    The equation of a circle whose center is at (3,−4)(3, -4) and the line 12x−5y−17=012x - 5y - 17 = 0 cuts the circle at AA and BB, where l(AB)=6l(AB) = 6 is ...

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  3. Question 3

    Complex Numbers. Asked once: 15 Apr 2026 S1

    51
    If ω\omega is a complex cube root of unity, then the value of the expression 2(1+1ω)(1+1ω2)+3(2+1ω)(2+1ω2)+…+(n+1)(n+1ω)(n+1ω2)2\left(1+\dfrac{1}{\omega}\right)\left(1+\dfrac{1}{\omega^2}\right)+3\left(2+\dfrac{1}{\omega}\right)\left(2+\dfrac{1}{\omega^2}\right)+\ldots+(n+1)\left(n+\dfrac{1}{\omega}\right)\left(n+\dfrac{1}{\omega^2}\right) is...

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  4. Question 4

    Conic Sections. Asked once: 15 May 2026 S1

    60
    One of the tangents at the end of the latus rectum of the parabola y2=12xy^2 = 12x is

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  5. Question 5

    Definite Integration. Asked once: 19 May 2026 S2

    82
    The value of ∫121x(1+log⁡x)2 dx\int_1^2 \dfrac{1}{x(1 + \log x)^2}\,dx is.......

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