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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Quadratic Equations

Previous Year Questions (2022-2024)

📅 Year 2022

  1. Find roots of 6x2 - x - 2 = 0.
    Show Solution
    6x2 - x - 2 = 6x2 - 4x + 3x - 2 = 2x(3x-2) + 1(3x-2) = (3x-2)(2x+1)\nx = 2/3 or x = -1/2
  2. Find discriminant and nature of roots: 2x2 - 4x + 3 = 0.
    Show Solution
    D = b2 - 4ac = 16 - 24 = -8 < 0\nRoots are imaginary and distinct.

📅 Year 2023

  1. Find roots of 6x2 - x - 2 = 0.
    Show Solution
    6x2 - x - 2 = 6x2 - 4x + 3x - 2 = 2x(3x-2) + 1(3x-2) = (3x-2)(2x+1)\nx = 2/3 or x = -1/2
  2. Find discriminant and nature of roots: 2x2 - 4x + 3 = 0.
    Show Solution
    D = b2 - 4ac = 16 - 24 = -8 < 0\nRoots are imaginary and distinct.

📅 Year 2024

  1. Find roots of 6x2 - x - 2 = 0.
    Show Solution
    6x2 - x - 2 = 6x2 - 4x + 3x - 2 = 2x(3x-2) + 1(3x-2) = (3x-2)(2x+1)\nx = 2/3 or x = -1/2
  2. Find discriminant and nature of roots: 2x2 - 4x + 3 = 0.
    Show Solution
    D = b2 - 4ac = 16 - 24 = -8 < 0\nRoots are imaginary and distinct.