PYQ Vault

Day 380: NDA Maths

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

  1. Question 1

    Trigonometric Identities. Asked once: NDA 2 2018

    36
    What is 2tan⁡θ1+tan⁡2θ\frac{2\tan\theta}{1+\tan^2\theta} equal to?

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  2. Question 2

    Matrices & Determinants. Asked once: NDA 1 2020

    1
    If matrix A=(1−ii−i1−i)A = \begin{pmatrix} 1-i & i \\ -i & 1-i \end{pmatrix} where i=−1i = \sqrt{-1}, then which one of the following is correct?

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  3. Question 3

    Probability. Asked once: NDA 1 2019

    113
    Two cards are chosen at random from a deck of 52 playing cards. What is the probability that both of them have the same value?

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  4. Question 4

    Trigonometric Identities. Asked once: NDA 2 2018

    37
    If sec⁡(θ−α)\sec(\theta-\alpha), sec⁡θ\sec\theta and sec⁡(θ+α)\sec(\theta+\alpha) are in AP, where cos⁡α≠1\cos\alpha \neq 1, then what is the value of sin⁡2θ+cos⁡α\sin^2\theta + \cos\alpha?

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  5. Question 5

    Matrices & Determinants. Asked once: NDA 1 2020

    13
    Let A=(ahghbfgfc)A = \begin{pmatrix}a & h & g \\ h & b & f \\ g & f & c\end{pmatrix} and B=(xyz)B = \begin{pmatrix}x \\ y \\ z\end{pmatrix}, then what is ABAB equal to?

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