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1. Chapter : Real Numbers
Sr. No Topic Formula
1. LCM (p, q, r)
p*q*r *HCF(p, q, r)
HCF (p, q)*HCF (q, r)*HCF (p, r)
2. HCF (p,q,r)
p*q* r * LCM(p, q, r)
LCM(p, q)*LCM (q, r)*LCM (p, r)
Chapter : Polynomials
Sr. No Topic Formula
1.
Relation between
zeroes and coefficients
of quadratic
polynomial
α + β = =
αβ = =
2.
Relation between
zeroes and coefficients
of cubic polynomial
α + β + γ = =

αβ + βγ + γα = =
αβγ = =
3.
Forming Quadratic
and cubic polynomial
by roots
Quadratic:
Cubic:
-b
a
−(Coefficient of x)
Coefficient of x
c
a
(Coefficient of x)
Coefficient of x
-b
a
−(Coefficient of x)
Coefficient of x
c
a
(Coefficient of x)
Coefficient of x
-d
a
-(Constant)
Coefficient of x
2
2
2
3
3
x - (sum of roots)x + product of roots
x³ – (α + β + ɣ)x² + (αβ+ βɣ + ɣα)x –
(αβɣ) = 0
2

2. Sr.
No
Topic Formula
1.
Graphical
Method and
Algebraic
Method to
Solve
a Pair of
Linear
Equations
Algebric
condition
Graphical
interpretation
Algebric
interpretatio
n
Consistent or
Inconsistent
Intersecting
Exactly one
or unique
solution
Consistent
Coincident
Infinite
Soolutions
Consistent
Parallel
No
SOlution
Inconsistent
a1
a2
b1
b2
a1
a2
b1
b2
c1
c2
a1
a2
b1
b2
c1
c2
Chapter : Quadratic equation
Sr. No Topic Formula
1.
Quadratic Equation &
Quadratic Formula
2. Discriminant3. Roots by Discriminant
D > 0 : 2 distinct real roots
D = 0 : 2 equal roots
D < 0 : No real roots
Chapter : Pair of linear
equations in two variables

3. Sr. No Topic Formula
1.
nth term from first
and last term an
A.P.
a + (n-1) d & l - (n-1) d where, a
is the first and l is the last term
and d is the common difference
in an A.P.
2.
Sum of first n
terms
3.Arithmetic Mean
If a, b, c are in AP, then b =
(a + c)/2 is called the arithmetic
mean of a and c.
Sr. No Topic Formula
1.
Distance formula
and section
formula
2. Mid-point
Chapter : Arithmetic
progression
Chapter : Coordinate geometry

4. Sr. No Topic Formula
1.Area of a triangle
2.
perimeter of a
triangle
3.
Semi-perimeter of a
triangle
4.Heron’s formula5.
Pythagorean
theorem
Chapter : Coordinate geometry
Where b = base
h = height
Where a,b & c
are sides of the
triangle abc
Where a,b & c are sides of the triangle
abc
a = perpendicular
b = base
c = hypoteneuse
3. Centroid(X,Y) = X1 + X2 + X3
3
Y1 + Y2 + Y3
3

5. Function Value
SinA P/H
CosA B/H
TanA P/B
CotA B/P
SecA H/P
CosecA H/B
Chapter : Trigonometry
TanA = SinA/CosACosecA = 1/SinA
CotA = CosA/SinASecA = 1/CosA
Sr. No Topic Formula
1.
Basic Trigonometry
Formulas
2.Trigonometry Table
3.Reciprocal Relation

6. 4.
Trigonometry Sign
Functions
sin (−θ) = − sin θ
cos (−θ) = cos θ
tan (−θ) = − tan θ
cosec (−θ) = − cosec θ
sec (−θ) = sec θ
cot (−θ) = − cot θ
5.
Trigonometry
Identities
sin A + cos A = 1
tan A + 1 = sec A
cot A + 1 = cosec A
22
2
22
2
Sr. No Topic Formula
1.Circumference of circle 2 π r
2. Area of circle π r
3.
Arc length of sector of
circle with radius r and
angle θ.
(θ/360) x 2 π r
4.
The area of sector of a
circle with radius ‘r’ and
θ angle
(θ/360) x π r
5.
Area of segment of a
circle
Area of the sector - Area of the
triangle
Chapter : Circles
2
2

7. Chapter : Surface area, volume
Chapter : Statistics
l: lowerlimit.
f1: firstfrequency
f0: upper frequency of first
frequency.
f2: second frequency.
H: difference between class
interval.
f1: frequency
xi: mid-point
a: assumed mean
h: class size
Sr. NoTopic Formula
1.
Mean of a
grouped Data
2.
Mode of a
grouped data

8. 3.
Median of a
grouped data
4.
Mean, Mode and
Median relation
3 Median - 2 Mean = 1 Mode
5.
Median for
ungrouped data
Sr. No Topic Formula
1. Probability
Number of favourable
outcomes/Number of possible outcomes
2.
Probability of
tossing of a coin
3.
Probability of
double dice
Chapter : Probability
l: Lower limit of Median class
N: Total frequency
f0: Frequancy of class preceding
the median class
f1: Frequency of median class
h: Width of median class
First Dice
Second Dice

9. 4.
Probability of
cards
Spades(13)Hearts(13)Clubs(13)Diamonds(13)
Face Cards
J,Q,K,A
Number Cards
(2-10)
(Total = 52 Cards)