Class 12 Mathematics Formula Sheet (One Page)
Algebra:
(a+b)^2 = a^2 + 2ab + b^2
(a-b)^2 = a^2 - 2ab + b^2
a^2 - b^2 = (a-b)(a+b)
Quadratic Equation:
x = [-b ± √(b^2 - 4ac)] / 2a
Sequence & Series:
AP: a_n = a + (n-1)d
Sum: S_n = n/2 [2a + (n-1)d]
GP: a_n = ar^(n-1)
Sum: S_n = a(1-r^n)/(1-r)
Trigonometry:
sin^2θ + cos^2θ = 1
1 + tan^2θ = sec^2θ
1 + cot^2θ = cosec^2θ
Calculus:
d/dx (x^n) = nx^(n-1)
∫ x^n dx = x^(n+1)/(n+1) + C
Coordinate Geometry:
Distance = √[(x2-x1)^2 + (y2-y1)^2]
Slope = (y2-y1)/(x2-x1)
Algebra:
(a+b)^2 = a^2 + 2ab + b^2
(a-b)^2 = a^2 - 2ab + b^2
a^2 - b^2 = (a-b)(a+b)
Quadratic Equation:
x = [-b ± √(b^2 - 4ac)] / 2a
Sequence & Series:
AP: a_n = a + (n-1)d
Sum: S_n = n/2 [2a + (n-1)d]
GP: a_n = ar^(n-1)
Sum: S_n = a(1-r^n)/(1-r)
Trigonometry:
sin^2θ + cos^2θ = 1
1 + tan^2θ = sec^2θ
1 + cot^2θ = cosec^2θ
Calculus:
d/dx (x^n) = nx^(n-1)
∫ x^n dx = x^(n+1)/(n+1) + C
Coordinate Geometry:
Distance = √[(x2-x1)^2 + (y2-y1)^2]
Slope = (y2-y1)/(x2-x1)
