TS EAMCET · Maths · Determinants
The system of equations \(x+3 y+7=0\), \(3 x+10 y-3 z+18=0\) and \(3 y-9 z+2=0\) has
- A unique solution
- B infinitely many solutions
- C no solution
- D finite number of solutions
Answer & Solution
Correct Answer
(C) no solution
Step-by-step Solution
Detailed explanation
Using Cramer's rule \(\Delta=\left|\begin{array}{ccc} 1 & 3 & 0 \\ 3 & 10 & -3 \\ 0 & 3 & -9 \end{array}\right|=0 ; \quad \Delta_2=\left|\begin{array}{ccc} 1 & -7 & 0 \\ 3 & -18 & -3 \\ 0 & -2 & 9 \end{array}\right|=-33\) Since, \(\Delta=0, \Delta_2 \neq 0\), system of equation…
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
- \(\int_{-1}^1 x|x| d x=\)TS EAMCET 2023 Medium
- If the lines \(3 x+y-4=0, x-a y-10=0\), \(b x+2 y+9=0\) form three successive sides of a rectangle in that order and the fourth side passes through \((1,2)\), then the area of that rectangle (in sq. units) isTS EAMCET 2020 Easy
- The number of common tangents to the circles \(x^2+y^2+4 x=0\) and \(x^2+y^2-2 x=0\) isTS EAMCET 2018 Easy
- If \(\alpha\) and \(\beta\) are respectively the order and degree of the differential equation for which \(a x^2+b y^2=1\) is the general solution, then the eccentricity of the ellipse \(\alpha x^2+\beta y^2=1\) isTS EAMCET 2020 Medium
- If the perpendicular distance between the point \((1,1)\) to the line \(3 x+4 y+c=0\) is 7 , then the possible values of \(c\) areTS EAMCET 2017 Easy
- For \(k \in(1, \infty), \int \frac{1}{1+k \cos x} d x=\)TS EAMCET 2020 Hard
More PYQs from TS EAMCET
- If the straight line passing through the point \(P(3,4)\) makes an angle \(\frac{\pi}{6}\) with the positive direction of \(X\)-axis and meets the line \(12 x+5 y+10=0\) at \(Q\), then the length of \(P Q\) isTS EAMCET 2020 Medium
- If in a triangle , thenTS EAMCET 2019 Medium
- If a plane is at a distance of units from the origin and the vector is its normal, then the equation of the plane in Cartesian form isTS EAMCET 2021 Easy
- If the resistance of each edge of a cube shaped wire frame as shown in figure below is \(R\), then the resistance between points 1 and 7 is
TS EAMCET 2018 Medium - If \(Z_r=\cos \left(\frac{\pi}{2^r}\right)+i \sin \left(\frac{\pi}{2^r}\right)\) for \(r=1,2,3, \ldots\). , then \(Z_1 Z_2 Z_3 \ldots \infty\) equals toTS EAMCET 2014 Hard
- Identify \(A\) and \(B\) in the following reactions
TS EAMCET 2005 Easy