AP EAMCET · Maths · Determinants
The value of \(\left|\begin{array}{cc}\log _5 729 & \log _3 5 \\ \log _5 27 & \log _9 25\end{array}\right|\) \(\times\left|\begin{array}{ll}\log _3 5 & \log _{27} 5 \\ \log _5 9 & \log _5 9\end{array}\right|\) is
- A 1
- B 6
- C \(\log _5 9\)
- D \(\left(\log _3 5\right) \times\left(\log _5 81\right)\)
Answer & Solution
Correct Answer
(D) \(\left(\log _3 5\right) \times\left(\log _5 81\right)\)
Step-by-step Solution
Detailed explanation
\begin{aligned} & \left|\begin{array}{ll} \log _5 729 & \log _3 5 \\ \log _5 27 & \log _9 25 \end{array}\right| \times\left|\begin{array}{ll} \log _3 5 & \log _{27} 5 \\ \log _5 9 & \log _5 9 \end{array}\right| \\ & =\left|\begin{array}{ll} 6 \log _5 3 & \log _3 5 \\ 3 \log _5 3…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Maths
- If \(\mathbf{a} \neq \mathbf{0}, \mathbf{b} \neq \mathbf{0}, \mathbf{c} \neq 0, \mathbf{a} \times \mathbf{b}=\mathbf{0}\) and \(\mathbf{b} \times \mathbf{c}=0\), then \(\mathbf{a} \times \mathbf{c}\) is equal toAP EAMCET 2013 Easy
- If a random variable \(X\) has the probability distribution given by \(P(X=0)=3 C^3\), \(P(X=2)=5 C-10 C^2\) and \(P(X=4)=4 C-1\), then the variance of that distribution isAP EAMCET 2019 Medium
- Find the solution of differential equation given below:AP EAMCET 2020 Hard
- \(\lim _{n \rightarrow \infty}\left[\frac{1}{n^2} \sec ^2 \frac{1}{n^2}+\frac{2}{n^2} \sec ^2 \frac{4}{n^2}+\frac{3}{n^2} \sec ^2 \frac{9}{n^2}+\ldots+\frac{1}{n^2} \sec ^2 1\right]=\)AP EAMCET 2025 Medium
- If the point of contact of the circles \(x^2+y^2-6 x-4 y+9=0\) and \(x^2+y^2+2 x+2 y-7=0\) is \((\alpha, \beta)\), then \(7 \beta=\)AP EAMCET 2025 Medium
- If the letters of the word "ASSASSINATION" are arranged at random in a row, then the probability that no two \(A^{\prime}\) 's come together is equal toAP EAMCET 2020 Easy
More PYQs from AP EAMCET
- If \(x=\sin \left(2 \tan ^{-1} 2\right)\) and \(y=\sin \left(\frac{1}{2} \tan ^{-1} \frac{4}{3}\right)\),thenAP EAMCET 2016 Hard
- If uncertainities in the measurement of position and momentum of a microscopic object of mass ' \(m\) are equal, then the uncertainty in the measurement of velocity is given by the expressionAP EAMCET 2018 Easy
- A solenoid has the length \(1 \mathrm{~m}\) and the area of cross-section \(0.02 \mathrm{~m}^2\). If number of turns in the solenoid is \(\mathbf{5 0 0 0}\) then the self inductance of the solenoid isAP EAMCET 2022 Easy
- If \(\overrightarrow{\mathrm{p}}=4 \hat{\mathrm{i}}-\hat{\mathrm{j}}+\hat{\mathrm{k}}\) is a point and \(\overrightarrow{\mathrm{q}}=9 \hat{\mathrm{i}}-2 \hat{\mathrm{j}}+6 \hat{\mathrm{k}}\) is a vector, then the perpendicular distance of origin from the plane passing through \(\overrightarrow{\mathrm{p}}\) and perpendicular to \(\overrightarrow{\mathrm{q}}\) isAP EAMCET 2023 Easy
- If the perpendicular distance from the focus of a parabola \(\mathrm{y}^2=4 \mathrm{ax}\) to its directrix is \(\frac{3}{2}\), then the equation of the normal drawn at \((4 a,-4 a)\) isAP EAMCET 2025 Medium
- If \(\frac{4 x^3+16 x+7}{\left(x^2+4\right)^2}=\frac{A x+B}{x^2+4}+\frac{C x+D}{\left(x^2+4\right)^2}\), then the number of non-zero values in \(A, B, C, D\) isAP EAMCET 2022 Medium