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Day 305: NDA Maths

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

  1. Question 1

    3D Geometry. Asked once: NDA 1 2019

    61
    The centroid of the triangle with vertices A(2,−3,3)A(2,-3,3), B(5,−3,−4)B(5,-3,-4) and C(2,−3,−2)C(2,-3,-2) is the point

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  2. Question 2

    Application of Derivatives. Asked once: NDA 2 2022

    91
    Under which one of the following conditions does the function f(x)=(psec⁡x)2+(qcsc⁡x)2f(x) = (p\sec x)^2+(q\csc x)^2 attain minimum value?

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  3. Question 3

    Circles. Asked once: NDA 1 2017

    54
    The two circles x2+y2=r2x^2+y^2=r^2 and x2+y2−10x+16=0x^2+y^2-10x+16=0 intersect at two distinct points. Then which one of the following is correct?

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  4. Question 4

    Complex Numbers. Asked once: NDA 2 2021

    48
    If i=−1i=\sqrt{-1}, then how many values does i−2ni^{-2n} have for different n∈Zn\in\mathbb{Z}?

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  5. Question 5

    Conics. Asked once: NDA 2 2017

    49
    A man running round a racecourse notes that the sum of the distances of two flag-posts from him is always 10 m and the distance between the flag-posts is 8 m. The area of the path he encloses is

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