AP EAMCET · Maths · Determinants
Let \(0 \neq a \in z\) and \(A=\left[\begin{array}{ccc}a & a & a-y \\ a & a+x & a \\ a & a & a\end{array}\right]\) be a matrix. Then, equation det \(A=16\) represents
- A a parabola
- B a circle
- C an ellipse
- D a rectangular hyperbola
Answer & Solution
Correct Answer
(D) a rectangular hyperbola
Step-by-step Solution
Detailed explanation
We have, \(\operatorname{det}(A)=\left|\begin{array}{ccc}a & a & a-y \\ a & a+x & a \\ a & a & a\end{array}\right|\) Apply \(C_1 \rightarrow C_1-C_3\) \(\operatorname{det}(A)=\left|\begin{array}{ccc}y & a & a-y \\ 0 & a+x & a \\ 0 & a & a\end{array}\right|\)…
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