Q77.The system of linear equations π₯+ π¦+ π§= 2 2π₯+ 3π¦+ 2π§= 5 2π₯+ 3π¦+ π2 - 1π§= π+ 1 (1) is inconsistent when π= β3 (2) has a unique solution for π= β3 (3) has infinitely many solutions for π= 4 (4) is inconsistent when π= 4
What This Question Tests
This problem tests the conditions for a system of linear equations to have a unique solution, no solution (inconsistent), or infinitely many solutions, primarily using the determinant of the coefficient matrix.
Concepts Tested
Formulas Used
Determinant of coefficient matrix for solution types (Cramer's Rule related concepts)
π NCERT Sections This Tests
12.7 β The Radius Of The Innermost Electron Orbit Of A Hydrogen Atom Is
Physics Class 12 Β· Chapter 12
12.7 The radius of the innermost electron orbit of a hydrogen atom is 5.3Γ10β11 m. What are the radii of the n = 2 and n =3 orbits?
2.1 β Two Charges 5 Γ 10β8 C And β3 Γ 10β8 C Are Located 16 Cm Apart. At
Physics Class 11 Β· Chapter 2
2.1 Two charges 5 Γ 10β8 C and β3 Γ 10β8 C are located 16 cm apart. At what point(s) on the line joining the two charges is the electric potential zero? Take the potential at infinity to be zero.
12.5 β A Hydrogen Atom Initially In The Ground Level Absorbs A Photon,
Physics Class 12 Β· Chapter 12
12.5 A hydrogen atom initially in the ground level absorbs a photon, which excites it to the n = 4 level. Determine the wavelength and frequency of photon.
π Question Details
- Chapter
- Matrices & Determinants
- Topic
- System of linear equations
- Year
- 2019
- Shift
- 09 Jan Shift 1
- Q Number
- Q77
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 4: Determinants
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