A-Level Maths Formulae and ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
Identities you need to learn… exam ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
with correct answers ||\\||\\ ||\\||\\
equation of a straight line - correct answers ✔✔y-y1 = ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
m(x-x1)
Lines are perpendicular if - correct answers ✔✔m1m2 = -
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1
Circle with centre (a,b) and radius r has equation - correct||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
answers ✔✔(x-a)^2 + (y-b)^2 =r^2 ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
Nth term of arithmetic sequence - correct answers ✔✔Un
||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
= a + (n-1)d
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(a is first term, d is common difference)
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, Nth term of geometric sequence - correct answers ✔✔Un
||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
= ar^(n-1)
||\\||\\
a^xa^y - correct answers ✔✔a^(x+y) ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
a^x/a^y - correct answers ✔✔a^(x-y) ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
(a^x)^y - correct answers ✔✔a^xy ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
a^-x - correct answers ✔✔1/a^x ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
a^1/x - correct answers ✔✔x root a ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
x = a^n - correct answers ✔✔n = loga(x)
||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
loga(x) + loga(y) = - correct answers ✔✔loga(xy) ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
loga(x) - loga(y) = - correct answers ✔✔loga(x/y) ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
Identities you need to learn… exam ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
with correct answers ||\\||\\ ||\\||\\
equation of a straight line - correct answers ✔✔y-y1 = ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
m(x-x1)
Lines are perpendicular if - correct answers ✔✔m1m2 = -
||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
1
Circle with centre (a,b) and radius r has equation - correct||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
answers ✔✔(x-a)^2 + (y-b)^2 =r^2 ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
Nth term of arithmetic sequence - correct answers ✔✔Un
||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
= a + (n-1)d
||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
(a is first term, d is common difference)
||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
, Nth term of geometric sequence - correct answers ✔✔Un
||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
= ar^(n-1)
||\\||\\
a^xa^y - correct answers ✔✔a^(x+y) ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
a^x/a^y - correct answers ✔✔a^(x-y) ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
(a^x)^y - correct answers ✔✔a^xy ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
a^-x - correct answers ✔✔1/a^x ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
a^1/x - correct answers ✔✔x root a ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
x = a^n - correct answers ✔✔n = loga(x)
||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
loga(x) + loga(y) = - correct answers ✔✔loga(xy) ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
loga(x) - loga(y) = - correct answers ✔✔loga(x/y) ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
