Core

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  • Core
    • Circles
      • x = x + x /2
      • y = y + y /2
      • The perpendicular bisector of the chord AB, which intersects AB at the midpoint M, passes through the centre of the circle, O.
      • Equation of circle
        • (x-a) +(y-b) = r
        • x + y = r
      • tangent to the circle = one solution
      • intersects the circle at 2 points = two solutions
      • doesn't interssect or touch the line = no solutions
    • Logarithms
      • y = log  x
      • log  a = 1
      • log  1 = 0
      • Laws
        • log  (xy) = log  x + log  y
        • log  (x ) = nlog  x
    • Factor Theorms
      • (ax - b) is a factor of f(x)
      • x  - ax  + x + 6 / x - a

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