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Every year you will get at least 1 - 3 questions in JEE Main and other exams, directly and indirectly, the concept of this chapter will be involved in many other chapters, like integral and differential calculus. Also, get the Find K if D (K, 0) is a point such that area of, Using properties of determinants, prove that, © 2020 myCBSEguide | CBSE Papers & NCERT Solutions, {tex}\left| {\begin{array}{*{20}{c}} {1 – x}&2&3 \\ 0&{2 – x}&0 \\ 0&2&{3 – x} \end{array}} \right| = 0{/tex}, {tex}\left| {\begin{array}{*{20}{c}} {2\cos x}&1&0 \\ 1&{2\cos x}&1 \\ 0&1&{2\cos x} \end{array}} \right|{/tex}, {tex}\left| {\begin{array}{*{20}{c}} 1&4&{20} \\ 1&{ – 2}&5 \\ 1&{2x}&{5{x^2}} \end{array}} \right| = 0{/tex}, {tex}{\text{2 }} \times {\text{ 2}}{/tex}, {tex}\begin{vmatrix}2x&5\\8&x\end{vmatrix}=\begin{vmatrix}6&5\\8&3\end{vmatrix}{/tex}, {tex}A = \left[ {\begin{array}{*{20}{c}} 2&3 \\ 1&4 \end{array}} \right]. Question 1. A 8. 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