COMEDK · Maths · 22. Determinants
is
- A 0
- B \(4 a b c\)
- C \(4(a b c)^{-1}\)
- D \(4\left[a b c+(a b c)^{-1}\right]\)
Answer & Solution
Correct Answer
(A) 0
Step-by-step Solution
Detailed explanation
Given determinant is \[ \left|\begin{array}{ccc} 4 & 4 & 4 \\ \left(a+a^{-1}\right)^{2} & \left(b+b^{-1}\right)^{2} & \left(c+c^{-1}\right)^{2} \\ \left(a-a^{-1}\right)^{2} & \left(b-b^{-1}\right)^{2} & \left(c-c^{-1}\right)^{2} \end{array}\right| \] Using operation…
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
- The number of solutions for the equation \(\sin 2 x+\cos 4 x=2\) isCOMEDK 2019 Medium
- The maximum value of \(Z=5 x+y\), subject to constraint \(x \geq 0, y \geq 0, x+y \leq 6,2 x+y \leq 10\) isCOMEDK 2024 Easy
- Value of the determinant of a matrix A of order \(3 \times 3\) is 7 . Then the value of the determinant formed by the cofactors of matrix A isCOMEDK 2025 Easy
- \(R\) is a relation on \(N\) given by \(R=\{(x, y) \mid 4 x+3 i j=20\}\). Which of the following belongs of \(R\) ?COMEDK 2019 Easy
- In a trial, the probability of success is twice the probability of failure. In six trials, the probability of at most two failure will beCOMEDK 2023 Medium
- The slope of lines which makes an angle \(60^{\circ}\) with the line \(y-3 x+18=0\)COMEDK 2023 Easy
More PYQs from COMEDK
- A car starts from rest and accelerates uniformly to a speed of \(180 \mathrm{kmh}^{-1}\) in \(10 \mathrm{~s}\). The distance covered by the car in this time interval isCOMEDK 2023 Easy
- A line \(L_1\) passes through the points \((h, k),(1,2)\) and \((-3,4)\). The points \((4,3)\) and \((h, k)\) lie on the line \(L_2\). Given \(L_1 \perp L_2\) then \((k-h)\) equals toCOMEDK 2025 Medium
- The pressure and temperature of \(4 \mathrm{dm}^{3}\) of carbon dioxide gas are double(d) Then, the volume of carbon dioxide gas would beCOMEDK 2016 Easy
- A 5% solution (by mass) of cane sugar in water has a freezing point of 271 K. The freezing point of a 5% solution (by mass) of glucose in water is:
[freezing point of pure water: 273.15 K]COMEDK 2026 Medium - Choose the correct statement.COMEDK 2025 Medium
- The reactions taking place with \(\mathrm{2- Phenyl-2-bromopropane}\) as the starting material is shown below. Identify [A] and [B] formed in the reaction.
\(
\mathrm{C}_6 \mathrm{H}_5-\mathrm{C}\left(\mathrm{CH}_3\right)_2^{-} \mathrm{Br} \xrightarrow[\Delta]{\text { KOH Alcoholic }}[\mathrm{A}]
\)
\(
[\mathrm{A}]+\mathrm{HBr} \xrightarrow{\left(\mathrm{C}_6 \mathrm{H}_5 \mathrm{CO})_2 \mathrm{O}\right.}[\mathrm{B}]\)COMEDK 2023 Medium