You are here
Ex 4.2,1 (i) - Chapter 4 Class 12 Determinants
Last updated at August 2, 2026 by Teachoo
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)
Take a fresh quiz. Then take another.
Every attempt is a new AI-adaptive Teachoo quiz with 3 questions, selected from your answers, mistakes, and progress.
Transcript
Ex 4.2, 1 Find area of the triangle with vertices at the point given in each of the following: (1, 0), (6, 0), (4, 3) The area of triangle is given by ā = š/š |ā 8(š±š&š²š&š@š±š&š²š&š@š±š&š²š&š)| Here, x1 = 1 , y1 = 0 x2 = 6 ,y2 = 0 x3 = 4 ,y3 = 3 ā = š/š |ā 8(š&š&š@š&š&š@š&š&š)| = 1/2 (1|ā 8(0&1@3&1)|ā0|ā 8(6&1@4&1)|+1|ā 8(6&0@4&3)|) = 1/2 (1(0 ā 3) ā 0(6 ā 4) + 1 (18 ā 0)) = 1/2 (1(ā3) + 0 + 1 (18) ) = 1/2 [ā3 + 18 ] = šš/š Thus, the required area of triangle is šš/š square units
