C2 Flashcards
Equation of a circle with centre (a,b)
(x-a)^2 + (y-b)^2 = r^2
The angle between the tangent and the radius is
90°
Tangents drawn down from a common point to a circle are equal in….
Length
The centre of a circle is on the perpendicular bisect or of any…
Chord
The angle subtended by a diameter at the circumference is
90°
What is a geometric series?
A series in which each term is obtained from the previous term by multiplying by a constant called the common ratio, r
Nth term of geometric series
ar^n-1
Sn of geometric series
Sn = a(1-r^n) / 1-r
Sine rule
a/sinA = b/sinB = c/sinC
Or
sinA/a = sinB/b = sinC/c
Cosine rule
a^2 = b^2 + c^2 - 2bc cosA
Area of triangle
1/2 absinC
Equation of a circle with centre (0,0)
x^2 + y^2 = r^2