Edexcel A-Level Maths: Equations &
formulae not given
Circle Equation - centre (-f, -g), radius (√f²+g²-c) - ANS x²+y²+2fx+2gy+c = 0
\Circle Equation - centre (a, b), radius (r) - ANS (x-a)²+(y-b)² = r²
\Cosine Rule (Angles) - ANS cosA = (b²+c²-a²)/2bc
\Cosine Rule (Lengths) - ANS a² = b²+c²-2bc(cosA)
\Division Law of Logs - ANS logₐx-logₐy = logₐ(x/y)
\Line Length Equation - ANS √(x₂-x₁)²+(y₂-y₁)²
\Magnitude of a vector - ANS |a| = √x²+y²
\Midpoint for lines - endpoints (x₁, y₁) & (x₂, y₂) - ANS (x₁+x₂)/2, (y₁+y₂)/2
\Multiplication Law of Logs - ANS logₐx+logₐy = logₐxy
\Normal to a curve: y = f(x) - point w/co-ords (a, f(a)) - ANS y-f(a) = -1/f'(a)(x-a)
\Power Law of Logs - ANS logₐ(x^k) = klogₐx
\Power Law of Logs - Special case when k = -1 - ANS logₐ(1/x) = logₐ(x⁻¹) = -logₐx
\Quadratic Formula - ANS x = -b±(√b²-4ac)/2a
\Sine Rule (Angles) - ANS sinA/a = sinB/b = sinC/c
\Sine Rule (Lengths) - ANS a/sinA = b/sinB = c/sinC
\Straight Line Equation - ANS y-y₁ = m(x-x₁)
\Tangent to a curve: y = f(x) - point w/co-ords (a, f(a)) - ANS y-f(a) = f'(a)(x-a)
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formulae not given
Circle Equation - centre (-f, -g), radius (√f²+g²-c) - ANS x²+y²+2fx+2gy+c = 0
\Circle Equation - centre (a, b), radius (r) - ANS (x-a)²+(y-b)² = r²
\Cosine Rule (Angles) - ANS cosA = (b²+c²-a²)/2bc
\Cosine Rule (Lengths) - ANS a² = b²+c²-2bc(cosA)
\Division Law of Logs - ANS logₐx-logₐy = logₐ(x/y)
\Line Length Equation - ANS √(x₂-x₁)²+(y₂-y₁)²
\Magnitude of a vector - ANS |a| = √x²+y²
\Midpoint for lines - endpoints (x₁, y₁) & (x₂, y₂) - ANS (x₁+x₂)/2, (y₁+y₂)/2
\Multiplication Law of Logs - ANS logₐx+logₐy = logₐxy
\Normal to a curve: y = f(x) - point w/co-ords (a, f(a)) - ANS y-f(a) = -1/f'(a)(x-a)
\Power Law of Logs - ANS logₐ(x^k) = klogₐx
\Power Law of Logs - Special case when k = -1 - ANS logₐ(1/x) = logₐ(x⁻¹) = -logₐx
\Quadratic Formula - ANS x = -b±(√b²-4ac)/2a
\Sine Rule (Angles) - ANS sinA/a = sinB/b = sinC/c
\Sine Rule (Lengths) - ANS a/sinA = b/sinB = c/sinC
\Straight Line Equation - ANS y-y₁ = m(x-x₁)
\Tangent to a curve: y = f(x) - point w/co-ords (a, f(a)) - ANS y-f(a) = f'(a)(x-a)
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