TS EAMCET · Maths · Determinants
If \(a, b, c\) are real numbers such that \(a-b=1, b-c=3\), then the number of matrices of the form \(A=\left[\begin{array}{ccc}1 & 1 & 1 \\ a & b & c \\ a^2 & b^2 & c^2\end{array}\right]\) such that \(|A|=-12\), is
- A 1
- B 2
- C 3
- D infinitely many
Answer & Solution
Correct Answer
(D) infinitely many
Step-by-step Solution
Detailed explanation
We have,…
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 \(\cos \theta-4 \sin \theta=1\), then \(\sin \theta+4 \cos \theta\) is equal toTS EAMCET 2005 Easy
- If \(f: R \rightarrow R\) is an even function which is twice differentiable on \(R\) and \(f^{\prime \prime}(\pi)=1\), then \(f^{\prime \prime}(-\pi)\) is equal toTS EAMCET 2005 Medium
- For \(z \in \mathbf{C}\), if \((1+z)^n=1+{ }^n C_1 z+{ }^n C_2 z^2+\ldots{ }^n C_n z^n\) and \(\sum_{r=0}^{100} 100 c_r(\sin r x)=\left(2 \cos \frac{x}{2}\right)^{100} \sin k x\), then \(k=\)TS EAMCET 2020 Hard
- Let be the set of all real numbers. Statement I : The function defined by is a one - one function. Statement II : The function defined by is a one-one function. Which of the above statements is(are) true?TS EAMCET 2022 Medium
- A straight line parallel to the line \(y=\sqrt{3} x\) passes through \(Q(2,3)\) and cuts the line \(2 x+4 y-27=0\) at \(P\). Then the length of the line segment \(\mathrm{PQ}\) isTS EAMCET 2023 Easy
- The parametric equations of the parabola areTS EAMCET 2021 Medium
More PYQs from TS EAMCET
- The IUPAC name of an unsymmetrical ether with the molecular formula \(=\mathrm{C}_4 \mathrm{H}_{10} \mathrm{O}\)TS EAMCET 2004 Easy
- If the angle \(2 \theta\) is acute, then the acute angle between the pair of straight lines \[ \begin{aligned} & x^2(\cos \theta-\sin \theta)+2 x y \cos \theta \ & \quad+y^2(\cos \theta+\sin \theta)=0, \text { is } \end{aligned} \]TS EAMCET 2002 Hard
- A simple pendulwm of length \(L\) carries a bob of mass \(m\). When the bob is at its lowest position, it is given that the minimum horizontal speed necessary for it to move in a vertical circle about the point of suspension. When the string is horizontal, the net force on the bob isTS EAMCET 2016 Hard
- If and where are the turning points of , thenTS EAMCET 2018 Medium
- With a standard rectangular bar magnet of length (l), breadth \((b ; b< < l)\) and magnetic moment \(M\), the time period of the magnet in a vibration magnetometer is \(4 \mathrm{~s}\). If the magnet is cut normal to its length into four equal pieces, the time period (in seconds) with one of the pieces isTS EAMCET 2005 Medium
- Two circles which touch both the coordinate axes intersect at the points A and B. If \(\mathrm{A}=(1,2)\), then \(\mathrm{AB}=\)TS EAMCET 2025 Medium