Monomath – CBSE | GSEB | IB | JEE Maths by Ajay Yadav (Math King of Katargam) – 15+ Years Experience. Study Notes, Video Lessons, Formula Sheets & PYQs.
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Determinants

Previous Year Questions (2022-2024)

📅 Year 2022

  1. Find area of triangle with vertices (1,0), (2,2), (4,3) using determinant.
    Show Solution
    Area = 12|1(2-3) - 0(2-4) + 1(6-8)|\n= 12|-1 + 0 - 2| = 32 sq units
  2. Solve: x + 2y = 5, 3x - y = 1 using Cramer's rule.
    Show Solution
    D = |1 2; 3 -1| = -7\nD_x = |5 2; 1 -1| = -7\nD_y = |1 5; 3 1| = -14\nx = D_xD = 1, y = D_yD = 2

📅 Year 2023

  1. Find area of triangle with vertices (1,0), (2,2), (4,3) using determinant.
    Show Solution
    Area = 12|1(2-3) - 0(2-4) + 1(6-8)|\n= 12|-1 + 0 - 2| = 32 sq units
  2. Solve: x + 2y = 5, 3x - y = 1 using Cramer's rule.
    Show Solution
    D = |1 2; 3 -1| = -7\nD_x = |5 2; 1 -1| = -7\nD_y = |1 5; 3 1| = -14\nx = D_xD = 1, y = D_yD = 2

📅 Year 2024

  1. Find area of triangle with vertices (1,0), (2,2), (4,3) using determinant.
    Show Solution
    Area = 12|1(2-3) - 0(2-4) + 1(6-8)|\n= 12|-1 + 0 - 2| = 32 sq units
  2. Solve: x + 2y = 5, 3x - y = 1 using Cramer's rule.
    Show Solution
    D = |1 2; 3 -1| = -7\nD_x = |5 2; 1 -1| = -7\nD_y = |1 5; 3 1| = -14\nx = D_xD = 1, y = D_yD = 2