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Day 426: MHT-CET Maths

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

  1. Question 1

    Applications of Derivative. Asked once: 19 May 2026 S1

    77
    The equation of the line tangent to the curve y2=4xy^2 = 4x with an inclination of 60∘60^\circ is:

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  2. Question 2

    Binomial Distribution. Asked once: 9 May 2024 S2

    108
    A man takes a step forward with probability 0.4 and backwards with probability 0.6. The probability that at the end of eleven steps, he is one step away from the starting point is

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  3. Question 3

    Circle. Asked once: 13 May 2026 S1

    62
    The equation of a circle passing through the foci of the ellipse x225+y216=1\dfrac{x^2}{25} + \dfrac{y^2}{16} = 1 and having a center at (0,−4)(0, -4) is :

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  4. Question 4

    Complex Numbers. Asked once: 13 Apr 2026 S2

    52
    If x=−1−−1−−1−…∞x = \sqrt{-1 - \sqrt{-1 - \sqrt{-1 - \ldots\infty}}}, where ω\omega is a non-real complex cube root of unity, then the value of xx is...

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  5. Question 5

    Conic Sections. Asked once: 14 May 2026 S2

    62
    Tangents are drawn from the point P(3,4)P(3, 4) to the ellipse x29+y24=1\dfrac{x^2}{9} + \dfrac{y^2}{4} = 1 touching the ellipse at points A and B. Then length of segment AB is

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