Question
यदि $\left| {\,\begin{array}{*{20}{c}}{ - {a^2}}&{ab}&{ac}\\{ab}&{ - {b^2}}&{bc}\\{ac}&{bc}&{ - {c^2}}\end{array}\,} \right| = K{a^2}{b^2}{c^2},$ तो $K = $
$ = (abc)(abc)\left| {\,\begin{array}{*{20}{c}}{ - 1}&1&1\\1&{ - 1}&1\\1&1&{ - 1}\end{array}} \right| = {a^2}{b^2}{c^2}( - 1)( - 4)$
$ = 4{a^2}{b^2}{c^2} = K{a^2}{b^2}{c^2}$,
(दिया है) $ ==> K = 4.$
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.