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Day 218: NDA Maths

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

  1. Question 1

    Quadratic Equations. Asked once: NDA 2 2017 (same type asked 4 times)

    5
    The roots of the equation (q−r)x2+(r−p)x+(p−q)=0(q-r)x^2 + (r-p)x + (p-q) = 0 are

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  2. Question 2

    Trigonometric Identities. Asked once: NDA 1 2017 (same type asked 4 times)

    44
    The expression sin⁡α+sin⁡βcos⁡α+cos⁡β\dfrac{\sin\alpha+\sin\beta}{\cos\alpha+\cos\beta} is equal to

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  3. Question 3

    Limits & Continuity. Asked once: NDA 2 2021 (same type asked 4 times)

    77
    If f(x)=[x]∣x∣f(x)=\frac{[x]}{|x|}, x≠0x\ne0, where [⋅][\cdot] denotes the greatest integer function, then what is the right-hand limit of f(x)f(x) at x=1x=1?

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  4. Question 4

    Matrices & Determinants. Asked once: NDA 2 2017 (same type asked 4 times)

    98
    If A=(−222−2)A = \begin{pmatrix}-2 & 2 \\ 2 & -2\end{pmatrix}, then which one of the following is correct?

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  5. Question 5

    Permutation & Combination. Asked once: NDA 1 2020 (same type asked 4 times)

    14
    What is the number of ways in which the letters of the word 'ABLE' can be arranged so that the vowels occupy even places?

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