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Day 162: NDA Maths

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

  1. Question 1

    Linear Inequalities. Asked once: NDA 2 2019 (same type asked 2 times)

    7
    If ∣x2−3x+2∣>x2−3x+2\left|x^{2}-3x+2\right| > x^{2}-3x+2, then which one of the following is correct ?

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  2. Question 2

    Matrices & Determinants. Asked once: NDA 1 2017 (same type asked 2 times)

    32
    If A=(x+yyxx−y)A = \begin{pmatrix} x+y & y \\ x & x-y \end{pmatrix}, B=(3−2)B = \begin{pmatrix} 3 \\ -2 \end{pmatrix} and C=(4−2)C = \begin{pmatrix} 4 \\ -2 \end{pmatrix}. If AB=CAB = C, then what is A2A^2 equal to?

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  3. Question 3

    Differential Equations. Asked once: NDA 2 2019 (same type asked 2 times)

    83
    Which one of the following is the differential equation that represents the family of curves y=12x2−cy = \dfrac{1}{2x^{2} - c} where cc is an arbitrary constant ?

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  4. Question 4

    Limits & Continuity. Asked once: NDA 1 2018 (same type asked 2 times)

    95
    What is lim⁡x→0tan⁡xsin⁡2x\lim_{x\to0}\frac{\tan x}{\sin 2x} equal to?

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  5. Question 5

    Permutation & Combination. Asked once: NDA 1 2017 (same type asked 2 times)

    18
    The value of [C(7,0)+C(7,1)]+[C(7,1)+C(7,2)]+…+[C(7,6)+C(7,7)][C(7,0)+C(7,1)]+[C(7,1)+C(7,2)]+\ldots+[C(7,6)+C(7,7)] is

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