AP EAMCET · Maths · Determinants
If the system of simultaneous linear equations \(x+y+z=a, x-y+b z=2\), \(2 x+3 y-z=1\) has infinitely many solutions, then \(b-5 a=\)
- A \(\frac{4}{5}\)
- B 3
- C 7
- D -3
Answer & Solution
Correct Answer
(B) 3
Step-by-step Solution
Detailed explanation
Given that system of linear equations \(\begin{aligned} x+y+z & =a \quad \ldots (i)\\ x-y+b z & =2 \quad \ldots (ii) \\ 2 x+3 y-z & =1 \quad \ldots (iii) \end{aligned}\) has infinitely many solutions,…
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 parabola with directrix \(x+2 y-1=0\) and focus \((1,0)\) isAP EAMCET 2020 Easy
- One of the latus recta of the hyperbola \(\frac{x^2}{a^2}-\frac{y^2}{b^2}=1\) subtends an angle \(2 \operatorname{Tan}^{-1}\left(\frac{3}{2}\right)\) at the centre of the hyperbola. If \(\mathrm{b}^2=36\) and e is the eccentricity of the given hyperbola, then \(\sqrt{\mathrm{a}^2+\mathrm{e}^2}=\)AP EAMCET 2025 Medium
- The number of solutions of the equation \(4 \cos 2 \theta \cos 3 \theta=\sec \theta\) in the interval \([0,2 \pi]\) isAP EAMCET 2025 Medium
- The harmonic conjugate of \(P(-9,12,-15)\) with respect to the line segment \(A B\), where \(A=(1,-2,3)\) and \(B=(-4,5,-6)\) isAP EAMCET 2018 Easy
- For any two nonzero real numbers and if this line is a tangent to the circle , then which of the following is true?AP EAMCET 2022 Easy
- The angle between the tangents drawn from a point \((4,3)\) to the circle \(x^2+y^2-2 x-4 y=0\) isAP EAMCET 2017 Medium
More PYQs from AP EAMCET
- Which statement among the following is true?
(i) The function is strictly increasing on .
(ii) The function is strictly increasing on .
(iii) A one-one function is always an increasing function.
(iv) is strictly decreasing onAP EAMCET 2021 Medium - If [.] represents greatest integer function, then
\[
\int_{\frac{3 \pi}{4}}^\pi\left[\sin x+\left[\frac{4 x}{\pi}\right]\right] d x=
\]AP EAMCET 2022 Hard - One of the following substances having the tendency to move from stronger region to the weaker region of the magnetic field isAP EAMCET 2023 Medium
- Observe the statements given below :
Assertion (A) : \(f(x)=x e^{-x}\) has the maximum at \(x=1\)
Reason (R) : \(f^{\prime}(1)=0\) and \(f^{\prime \prime}(1) < 0\)
Which of the following is correct?AP EAMCET 2007 Easy - Observe the following molecules / ions \(\mathrm{H}_2, \mathrm{~N}_2, \mathrm{O}_2, \mathrm{~N}_2^{+}, \mathrm{O}_2^{+}, \mathrm{O}_2^{-}, \mathrm{F}_2\). Identify correct statement.AP EAMCET 2019 Easy
- If \(15^k\) divides 47 ! but \(15^{k+1}\) does not divide it, then \(k=\)AP EAMCET 2019 Medium