AP EAMCET · Maths · Determinants
The number of solutions of the system of equations \(2 x+y-z=7, x-3 y+2 z=1\), \(x+4 y-3 z=5\) is
- A 1
- B 0
- C Infinite
- D 2
Answer & Solution
Correct Answer
(B) 0
Step-by-step Solution
Detailed explanation
Coefficient matrix: \(A = \begin{pmatrix} 2 & 1 & -1 \\ 1 & -3 & 2 \\ 1 & 4 & -3 \end{pmatrix}\) \(det(A) = 2((-3)(-3) - (2)(4)) - 1((1)(-3) - (2)(1)) + (-1)((1)(4) - (-3)(1))\) \(det(A) = 2(9-8) - 1(-3-2) - 1(4+3)\) \(det(A) = 2(1) - 1(-5) - 1(7)\) \(det(A) = 2 + 5 - 7 = 0\)…
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 \(f: R \rightarrow R\) defined by
\[
f(x)=\left\{\begin{array}{cc}
a^2 \cos ^2 x+b^2 \sin ^2 x, & x \leq 0 \\
e^{a x+b}, & x>0
\end{array}\right.
\]
is a continuous function, thenAP EAMCET 2002 Hard - If \(A(2,-3)\) and \(B(-2,1)\) are two vertices of a \(\triangle A B C\) and if the centroid of \(\triangle A B C\) lies on the line \(2 x+3 y=1\), then the locus of vertex \(C\) of \(\triangle A B C\) is equal toAP EAMCET 2020 Medium
- If the co-ordinate axes are the bisectors of the angles between the pair of lines \(a x^2+2 h x y+b y^2=0\) where \(h^2>a b\) and \(a \neq b\), thenAP EAMCET 2002 Easy
- In the sequence, \((1,2,3),(4,5,6),(7,8,9,10)\) \(\ldots\) of sets, the sum of elements in the 50th set isAP EAMCET 2002 Hard
- The sum of the intercepts made by a tangent drawn to the curve \(\left(\frac{x}{a}\right)^n+\left(\frac{y}{b}\right)^n=2\) at \((a, b)\) on the coordinate axes isAP EAMCET 2022 Hard
- If \(A\) is a matrix of order 3 whose determinant is equal to 6 , then \(\operatorname{det}(\operatorname{adj} A)=\)AP EAMCET 2017 Easy
More PYQs from AP EAMCET
- If \(\alpha\) and \(\beta\) are non-real roots of \(x^3-x^2-x-2=0\), then \(\alpha^{2020}+\beta^{2020}+\alpha^{2020} \cdot \beta^{2020}=\)AP EAMCET 2020 Medium
- The angle between the curves \(\mathrm{y}^2=\mathrm{x}\) and \(\mathrm{x}^2=\mathrm{y}\) at the point \((1,1)\) isAP EAMCET 2025 Medium
- If \(\frac{x^4}{(x-1)^2(x+1)}=\mathrm{A} x+\mathrm{B}+\frac{\mathrm{P}}{(x-1)}+\frac{\mathrm{Q}}{(x-1)^2}+\frac{\mathrm{R}}{x+1}\), then \(2 \mathrm{AP}-\mathrm{BQ}+\mathrm{R}=\)AP EAMCET 2018 Hard
- Which among the following is used in detergents?AP EAMCET 2020 Easy
- Hot concentrated sulphuric acid on reaction with which one of the following elements, produces two gaseous products?AP EAMCET 2018 Easy
- Which set of the following molecules has only one lone pair of electrons on their respective central atoms?
(i) \(\mathrm{SO}_2\)
(ii) \(\mathrm{XeF}_4\)
(iii) \(\mathrm{PbCl}_2\)
(iv) \(\mathrm{SF}_4\)
(v) \(\mathrm{ClF}_3\)AP EAMCET 2018 Medium