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Day 212: NDA Maths

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

  1. Question 1

    Matrices & Determinants. Asked once: NDA 2 2021 (same type asked 5 times)

    9
    If Δ=∣abcdefghi∣\Delta=\begin{vmatrix}a&b&c\\d&e&f\\g&h&i\end{vmatrix}, then what is ∣3d+5g4a+7g6g3e+5h4b+7h6h3f+5i4c+7i6i∣\begin{vmatrix}3d+5g&4a+7g&6g\\3e+5h&4b+7h&6h\\3f+5i&4c+7i&6i\end{vmatrix} equal to?

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  2. Question 2

    Sequence & Series. Asked once: NDA 1 2019 (same type asked 5 times)

    24
    The sum of (p+q)th(p+q)^{th} and (p−q)th(p-q)^{th} terms of an AP is equal to

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  3. Question 3

    Applications of Integration. Asked once: NDA 2 2019 (same type asked 5 times)

    71
    What is the area of the region bounded by ∣x∣<5|x| < 5, y=0y = 0 and y=8y = 8 ?

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  4. Question 4

    Definite Integration. Asked once: NDA 2 2018 (same type asked 5 times)

    81
    What is ∫ab[x] dx+∫ab[−x] dx\int_a^b [x]\,dx + \int_a^b [-x]\,dx equal to, where [.][.] is the greatest integer function?

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  5. Question 5

    Differential Equations. Asked once: NDA 1 2021 (same type asked 5 times)

    97
    What is the degree of the following differential equation? x=1+d2ydx2x=\sqrt{1+\frac{d^2y}{dx^2}}

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