Teaching UP TGT Mock Test Series 2025 Mathematics Determinants Evaluation of Determinants

यदि α, β समीकरण 2x2 + 3x + 5 = 0 के मूल हैं, तो सारणिक \(\left| {\begin{array}{*{20}{c}} 0&{ β}&{ β}\\ α&0&α\\ β&α&0 \end{array}} \right|\) का मान क्या है?

1
\(\frac{{ - 3}}{5}\)
2
\(\frac{{ - 15}}{4}\)
3
\(\frac{{ 3}}{5}\)
4
\(\frac{{ 15}}{4}\)
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