Q71.If A = 0 sin α and det(A2 −12 I) = 0, [sin α 0 ] (1) π (2) π 2 3 (3) π (4) π 4 6
What This Question Tests
This question tests the ability to perform matrix operations, calculate determinants, and solve for a variable within a matrix equation involving the identity matrix.
Concepts Tested
Formulas Used
det(A) = ad - bc for a 2x2 matrix
Matrix multiplication
A^2 - λI = 0
📚 NCERT Sections This Tests
12.5 — A Hydrogen Atom Initially In The Ground Level Absorbs A Photon,
Physics Class 12 · 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.
11.8 — Light Of Frequency 7.21 × 1014 Hz Is Incident On A Metal Surface.
Physics Class 12 · Chapter 11
11.8 Light of frequency 7.21 × 1014 Hz is incident on a metal surface. Electrons with a maximum speed of 6.0 × 105 m/s are ejected from the surface. What is the threshold frequency for photoemission of electrons?
9.21 — At What Angle Should A Ray Of Light Be Incident On The Face Of A Prism
Physics Class 12 · Chapter 9
9.21 At what angle should a ray of light be incident on the face of a prism of refracting angle 60° so that it just suffers total internal reflection at the other face? The refractive index of the material of the prism is 1.524.
📋 Question Details
- Chapter
- Matrices & Determinants
- Topic
- Determinant of a matrix and matrix equation
- Year
- 2021
- Shift
- 17 Mar Shift 1
- Q Number
- Q71
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 3: Matrices, Class 12 Mathematics Ch 4: Determinants
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