PYQ Vault

Day 200: NDA Maths

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

  1. Question 1

    Trigonometric Identities. Asked once: NDA 1 2019 (same type asked 3 times)

    26
    What is the least value of 25csc⁡2x+36sec⁡2x25\csc^2 x + 36\sec^2 x?

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  2. Question 2

    3D Geometry. Asked once: NDA 1 2017 (same type asked 3 times)

    61
    A straight line with direction cosines ⟨0,1,0⟩\langle 0, 1, 0\rangle is

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  3. Question 3

    Differentiation. Asked once: NDA 2 2018 (same type asked 3 times)

    95
    If y=∣sin⁡x∣∣x∣y=|\sin x|^{|x|}, then what is the value of dydx\frac{dy}{dx} at x=−π6x=-\frac{\pi}{6}?

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  4. Question 4

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

    59
    A variable plane passes through a fixed point (a,b,c)(a, b, c) and cuts the axes in AA, BB and CC respectively. The locus of the centre of the sphere OABCOABC, OO being the origin, is

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  5. Question 5

    Functions. Asked once: NDA 2 2018 (same type asked 3 times)

    72
    If f(x)=x−1x−4f(x)=\frac{\sqrt{x-1}}{x-4} defines a function on R\mathbb{R}, then what is its domain?

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