How many MCQ questions are available for Determinants?

There are 68 MCQ questions available for Determinants (Class 12 Mathematics) — 24 easy, 30 medium, and 14 hard.

Determinants

Q: What topics are covered in Determinants?

Key concepts covered: Adjoint of a matrix, Applications of determinants, Area of triangle using determinants, Cofactors and minors, Consistency of linear equations, Cramer's rule, Determinant of order 1, 2, 3, Inverse of a matrix using adjoint, Properties of determinants, Singular and non-singular matrices.

Class 12 · Mathematics

68 questions24 easy30 medium14 hard

Sample Questions

Q1.For a 3×3 matrix A, |A| can be expanded along any row or column. This gives the same value because:

AIt's a coincidence
BThe determinant is a unique number associated with the matrix
COnly row expansion works
DOnly column 1 expansion works

Q2.If two rows of a determinant are identical, then its value is:

A1
BDoubled
C0
DUndefined

Q3.A matrix A is singular if:

A|A| = 1
B|A| ≠ 0
C|A| = 0
DA is not square

Q4.Using Cramer's rule, the value of x for the system 2x + y = 5, x + 3y = 10 is:

Q5.The system AX = B has a unique solution when:

A|A| = 0
B|A| ≠ 0
CB = O
DA is symmetric

Q6.This is a sample question to preview what you'll get in the full practice test...

A. Option one
B. Option two
C. Option three
D. Option four

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Concepts Covered

Adjoint of a matrixApplications of determinantsArea of triangle using determinantsCofactors and minorsConsistency of linear equationsCramer's ruleDeterminant of order 1, 2, 3Inverse of a matrix using adjointProperties of determinantsSingular and non-singular matrices

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