# NCERT Solutions Class 12 Maths Chapter-9 (Determinants) Exercise 9.1

NCERT Solutions Class 12 Maths from class 12th Students will get the answers of Chapter-9 (Determinants)Exercise 9.1 This chapter will help you to learn the basics and you should expect at least one question in your exam from this chapter.
We have given the answers of all the questions of NCERT Board Mathematics Textbook in very easy language, which will be very easy for the students to understand and remember so that you can pass with good marks in your examination.

Class 12 Mathematics

Chapter-9 (Determinants)

Questions and answers given in practice

Chapter-9 (Determinants)

### Exercise 9.1

Q1. Determine order and degree(if defined) of differential equation $\frac{{d}^{4}y}{d{x}^{4}}+\mathrm{sin}\left({y}^{\mathrm{\prime }\mathrm{\prime }\mathrm{\prime }}\right)=0$

Answer. $\frac{{d}^{4}y}{d{x}^{4}}+\mathrm{sin}\left({y}^{\mathrm{\prime }\mathrm{\prime }\mathrm{\prime }}\right)=0$ $⇒{y}^{\mathrm{\prime }\mathrm{\prime }\mathrm{\prime }\mathrm{\prime }}+\mathrm{sin}\left({y}^{m}\right)=0$ The highest order derivative present in the differential equation is ${y}^{\mathrm{\prime }\mathrm{\prime }\mathrm{\prime }\mathrm{\prime }}$. Therefore, its order is four. The given differential equation is not a polynomial equation in its derivatives. Hence, its degree is not defined.

Q2. Determine order and degree(if defined) of differential equation ${y}^{\mathrm{\prime }}+5y=0$

Answer. ${y}^{\mathrm{\prime }}+5y=0$

Q3. Determine order and degree(if defined) of differential equation $\left(\begin{array}{c}\left(\frac{ds}{dt}{\right)}^{4}+3s\frac{{d}^{2}s}{d{t}^{2}}=0\end{array}\right).$

Answer. $\left(\begin{array}{c}\left(\frac{ds}{dt}{\right)}^{4}+3s\frac{{d}^{2}s}{d{t}^{2}}=0\end{array}\right).$

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