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Day 131: NDA Maths

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

  1. Question 1

    Conics. Asked once: NDA 2 2017 (same type asked 3 times)

    57
    The equation of the ellipse whose centre is at origin, major axis is along xx-axis with eccentricity 34\dfrac{3}{4} and latus rectum 4 units is

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  2. Question 2

    3D Geometry. Asked once: NDA 1 2021 (same type asked 2 times)

    70
    The foot of the perpendicular drawn from the origin to the plane x+y+z=3x+y+z=3 is

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  3. Question 3

    3D Geometry. Asked once: NDA 1 2025 (same type asked 2 times)

    65
    What is the equation of the plane passing through the point (1,1,1)(1,1,1) and perpendicular to the line whose direction ratios are ⟨3,2,1⟩\langle 3,2,1 \rangle?

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  4. Question 4

    3D Geometry. Asked once: NDA 1 2025 (same type asked 2 times)

    62
    A(1,2,-1), B(2,5,-2) and C(4,4,-3) are three vertices of a rectangle. What is the area of the rectangle?

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  5. Question 5

    Applications of Integration. Asked once: NDA 2 2023 (same type asked 2 times)

    68
    What is the area between f(x)=x∣x∣f(x)=x|x| and the xx-axis for x∈[−1,1]x\in[-1,1]?

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