Teaching AP DSC School Assistant 2025 Mock Test Series Mathematics Determinants

The determinant \(\left| {\begin{array}{*{20}{c}} {xp + y}&x&y\\ {yp + z}&y&z\\ 0&{xp + y}&{yp + z} \end{array}} \right| = 0,\) if

1
x, y, z are in A.P.
2
x, y, z are in G.P.
3
x, y, z are in H.P.
4
xy, yz, zx are in A.P.
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