The determinant | array ccc x p+y & x & y y p+z & y & z 0 & x p+y & y p+z array |=0 , if
Mathematics · JEE Advanced · NTA Exams — Matrices and Determinants
The determinant
\[\left|\begin{array}{ccc} x p+y & x & y \\ y p+z & y & z \\ 0 & x p+y & y p+z \end{array}\right|=0\], if
\[\left|\begin{array}{ccc} x p+y & x & y \\ y p+z & y & z \\ 0 & x p+y & y p+z \end{array}\right|=0\], if
- x, y, z are in A.P.
- x, y, z are in G.P.
- x, y, z are in H.P.
- xy, yz, zx are in A.P.
Answer
(B) x , y , z are in G.P.
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