Transformation of Axes – Mathsmerizing

JEE Advanced compendium | Transformation of axes | Change of origin | Rotation of axis | Two results

Transformation of axes L1: Change the Origin without altering direction of the axes with examples

Transformation of axes L2: Rotation of Axes (a) Polar method(b) Complex number (c) Matrix method

Transformation of axes Result 1: If ax^2+2hxy+by^2+2gx+2fy+c=0 doesn't contain xy term tan2q=2h/a-b

Transformation of axes Important Result 2: Law of invariant a+b=a'+b' & ab-h^2=a'b'-h'^2