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Day 54: NDA Maths

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

  1. Question 1

    3D Geometry. This type asked 2 times: NDA 1 2025, NDA 2 2026. This one: NDA 2 2026

    64
    If OO is the origin and PP is the point (2,−4,6)(2, -4, 6), then what is the equation of the plane through PP and perpendicular to OPOP?

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  2. Question 2

    3D Geometry. This type asked 2 times: NDA 1 2025, NDA 2 2026. This one: NDA 2 2026

    63
    What is the area of the triangle whose vertices are (0,7,10)(0, 7, 10), (−1,6,6)(-1, 6, 6) and (−4,9,6)(-4, 9, 6)?

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  3. Question 3

    Applications of Integration. This type asked 2 times: NDA 2 2023, NDA 2 2026. This one: NDA 2 2026

    76
    What is the area bounded by y=e∣x∣y = e^{|x|} and the lines ∣x∣=1|x| = 1 and y=0y = 0?

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  4. Question 4

    Conics. This type asked 2 times: NDA 1 2021, NDA 2 2026. This one: NDA 2 2026

    60
    What is the eccentricity (e)(e) of the parabola 4x2+y=04x^2 + y = 0?

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  5. Question 5

    Limits & Continuity. This type asked 2 times: NDA 1 2024, NDA 2 2026. This one: NDA 2 2026

    83
    Consider the following statements in respect of the function f(x)=[3x]f(x) = [3x], where [⋅][\cdot] is the greatest integer function : I. f(x)f(x) is continuous at x=1/3x = 1/3. II. f(x)f(x) is differentiable at x=1/4x = 1/4. Which of the statements given above is/are correct?

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