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Day 239: NDA Maths

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

  1. Question 1

    3D Geometry. Asked once: NDA 2 2026

    61
    The vertices of a triangle are A(2,0,0)A(2, 0, 0), B(0,6,0)B(0, 6, 0) and C(0,0,4)C(0, 0, 4). If ADAD, BEBE and CFCF are the medians of the triangle, then what is AD2+BE2+CF2AD^2 + BE^2 + CF^2 equal to?

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  2. Question 2

    Application of Derivatives. Asked once: NDA 2 2026

    96
    For the curve y=xe2xy = xe^{2x}

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  3. Question 3

    Applications of Integration. Asked once: NDA 2 2026

    77
    The slope of the tangent to the curve y=f(x)y = f(x) at (x,f(x))(x, f(x)) is 2x2x. If the curve passes through the origin, then what is the area bounded by the curve, the xx-axis and the line x=1x = 1?

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  4. Question 4

    Binary Numbers. Asked once: NDA 2 2026

    41
    What is the LCM of (11110)2(11110)_2, (10100)2(10100)_2 and (11011)2(11011)_2?

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  5. Question 5

    Binomial Distribution. Asked once: NDA 2 2025

    106
    Under which of the following conditions may binomial distribution be used? I. The number of trials is infinite and not fixed. II. The trials are independent. III. Each trial has two possible outcomes. Select the correct answer using the code given below.

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