PYQ Vault
EbooksTutor

Day 40: NDA Maths

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

  1. Question 1

    Matrices & Determinants. This type asked 3 times: NDA 2 2018, NDA 1 2020, NDA 1 2022. This one: NDA 1 2022

    6
    For what value of kk is the matrix (2cos⁡2θ2cos⁡2θ61−2sin⁡2θ2cos⁡2θ−13k2k1)\begin{pmatrix}2\cos2\theta & 2\cos2\theta & 6\\1-2\sin^2\theta & 2\cos^2\theta-1 & 3\\k & 2k & 1\end{pmatrix} singular?

    Tap an option to check your answer.

  2. Question 2

    Sequence & Series. This type asked 3 times: NDA 2 2019, NDA 1 2021, NDA 1 2022. This one: NDA 1 2022

    24
    If a,b,ca, b, c are in GP where a>0,b>0,c>0a>0, b>0, c>0, then which of the following are correct? 1. a2,b2,c2a^2, b^2, c^2 are in GP 2. 1a,1b,1c\frac{1}{a}, \frac{1}{b}, \frac{1}{c} are in GP 3. a,b,c\sqrt{a}, \sqrt{b}, \sqrt{c} are in GP Select the correct answer using the code given below:

    Tap an option to check your answer.

  3. Question 3

    Differential Equations. This type asked 3 times: NDA 2 2018, NDA 1 2021, NDA 2 2021. This one: NDA 2 2021

    86
    What is the order of the differential equation of all ellipses whose axes are along the coordinate axes?

    Tap an option to check your answer.

  4. Question 4

    Functions. This type asked 3 times: NDA 1 2018, NDA 2 2019, NDA 2 2021. This one: NDA 2 2021

    23
    What is the period of the function f(x)=ln⁡(2+sin⁡2x)f(x)=\ln(2+\sin^{2}x)?

    Tap an option to check your answer.

  5. Question 5

    Functions. This type asked 3 times: NDA 1 2018, NDA 1 2020, NDA 2 2021. This one: NDA 2 2021

    79
    What is the range of the function f(x)=1−sin⁡xf(x)=1-\sin x defined on entire real line?

    Tap an option to check your answer.