AP EAMCET · Maths · Matrices
If \(\left[\begin{array}{lll}x & 4-1\end{array}\right]\left[\begin{array}{lll}2 & 1 & 0 \\ 1 & 0 & 2 \\ 0 & 2 & 4\end{array}\right]\left[\begin{array}{c}x \\ 4 \\ -1\end{array}\right]=0\), then \(x=\)
- A \(-1+\sqrt{6}\)
- B \(8 \pm \sqrt{5}\)
- C \(-2 \pm \sqrt{10}\)
- D \(3 \pm \sqrt{6}\)
Answer & Solution
Correct Answer
(C) \(-2 \pm \sqrt{10}\)
Step-by-step Solution
Detailed explanation
\begin{aligned} & \text { (c) }\left[\begin{array}{lll}x & 4 & -1\end{array}\right]\left[\begin{array}{lll}2 & 1 & 0 \\ 1 & 0 & 2 \\ 0 & 2 & 4\end{array}\right]\left[\begin{array}{c}x \\ 4 \\ -1\end{array}\right]=0 \\ & \Rightarrow\left[\begin{array}{lll}2 x+4 & x-2 &…
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 variance of the first 50 even natural numbers isAP EAMCET 2016 Easy
- If one of the lines represented by \(a x^2+2 h x y+b y^2=0\) bisects the angle between the positive coordinate axes, thenAP EAMCET 2025 Medium
- The function \(f: \mathbb{R}-\{1\} \rightarrow \mathbb{R}-\{4\}\) defined by \(f(x)=\frac{4 x-3}{x-1}\) for \(x \in \mathbb{R}-\{1\}\) isAP EAMCET 2017 Medium
- \(\begin{aligned} & \text { In } \quad \Delta A B C \text {, } \\ & a\left(\cos ^2 B+\cos ^2 C\right)+\cos A(c \cos C+b \cos B) \text { is } \\ & \text { equal to }\end{aligned}\)AP EAMCET 2005 Medium
- If \(z=1+\cos \theta-i \sin \theta\) and \(0 < \theta < \pi\), then \(\left[|z-1|^2-\frac{|z|^2}{4}\right]^{1 / 2}=\)AP EAMCET 2023 Easy
- The tangent at the point \((1,2)\) to the curve \(y^2=4 x\) makes an angle \(\theta\) with the positive direction of \(X\)-axis. Then \(\theta=\)AP EAMCET 2020 Easy
More PYQs from AP EAMCET
- Which of the following lanthanoids have [Xe] \(4 f^x 5 \mathrm{~d}^1 6 \mathrm{~s}^2\) configuration in their ground state? \((x=1-14)\)AP EAMCET 2024 Medium
- Let \(f: R \rightarrow R\) be defined by \(f(x)=2 x+3\). If \(\alpha\), \(\beta\) are the roots of the equation \(f\left(x^2\right)-2 f\left(\frac{x}{2}\right)-1=0\), then \(\alpha^2+\beta^2=\)AP EAMCET 2022 Easy
- A ball is thrown upward from the top of a building at angle of \(30^{\circ}\) to the horizontal with an initial speed of 15 \(\mathrm{ms}^{-1}\). If the ball hits the ground after \(3 \mathrm{~s}\), then the height of building is (acceleration due to gravity \(=10 \mathrm{~ms}^{-2}\) )AP EAMCET 2022 Medium
- Which of the following reagent is used to find out carbon-carbon multiple bonds?AP EAMCET 2015 Easy
- Identify the correct statements from the following
a) Borax gives blue coloured \(\mathrm{Co}\left(\mathrm{BO}_2\right)_2\) when heated with \(\mathrm{Co}^{2+}\) salt.
b) The correct formula of Borax is \(\mathrm{Na}_2\left[\mathrm{~B}_4 \mathrm{O}_5(\mathrm{OH})_4\right] 8 \mathrm{H}_2 \mathrm{O}\)
c) Trihalides of boron are Lewis bases.AP EAMCET 2017 Easy - The time period of revolution of a satellite close to planet's surface is 80 minutes. The time period of another satellite which is at a height of 3 times the radius of the planet from surface isAP EAMCET 2024 Easy