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Ex 4.1, 8 (MCQ) - Chapter 4 Class 12 Determinants
Last updated at Dec. 16, 2024 by Teachoo
Finding determinant of a 2x2 matrix
Chapter 4 Class 12 Determinants
Concept wise
-
Finding determinant of a 2x2 matrix
- Evalute determinant of a 3x3 matrix
- Area of triangle
- Equation of line using determinant
- Finding Minors and cofactors
- Evaluating determinant using minor and co-factor
- Find adjoint of a matrix
- Finding Inverse of a matrix
- Inverse of two matrices and verifying properties
- Finding inverse when Equation of matrice given
- Checking consistency of equations
- Find solution of equations- Equations given
- Find solution of equations- Statement given
- Verifying properties of a determinant
- Two rows or columns same
- Whole row/column zero
- Whole row/column one
- Making whole row/column one and simplifying
- Proving Determinant 1 = Determinant 2
- Solving by simplifying det.
- Using Property 5 (Determinant as sum of two or more determinants)
Transcript
Ex 4.1, 8 If |■8(x&2@18&x)| = |■8(6&2@18&6)| , then x is equal to (A) 6 (B) ±6 (C) −6 (D) 0 Given |■8(x&2@18&x)| = |■8(6&2@18&6)| Putting values x2 – 36 = 0 x2 – 62 = 0 (x – 6) (x + 6) = 0 Solving |■8(x&2@18&x)| = x(x) – 18(2) = x2 – 36 Solving |■8(6&2@18&6)| = 6(6) – 18(2) = 36 – 36 = 0 So , x = 6, x = –6 Hence value of x = ± 6 . Correct answer is B
