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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]. The following quizzes are from Matrices, Determinants, their properties & key facts. Based on CBSE and NCERT guidelines. We will learn. Here we have provided NCERT Exemplar Problems Solutions along with NCERT Exemplar Problems Class 12.. English Mathematics. Question 2. 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