AP EAMCET · Maths · Determinants
If \(x, y, z\) are all positive and are the \(p\) th, \(q\) th and \(r\) th terms of a geometric progression respectively, then the value of the determinant
\(\left|\begin{array}{lll}
\log x & p & 1 \\
\log y & q & 1 \\
\log z & r & 1
\end{array}\right| \text { equals }\)
- A \(\log x y z\)
- B \((p-1)(q-1)(r-1)\)
- C \(pqr\)
- D 0
Answer & Solution
Correct Answer
(D) 0
Step-by-step Solution
Detailed explanation
Let \(a\) and \(R\) be the first term and common ratio of a GP. \(\begin{array}{ll} \therefore & T_p=a R^{p-1}=x \\ & T_q=a R^{q-1}=y \\ \text { and } & T_r=a R^{r-1}=z \end{array}\) and \(T_r=a R^{r-1}=z\)…
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