Mathematics Mind Maps

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Mathematics Mind Maps

• - Class X

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Irrational numbers
FINDING HCF
PRODUCT OF ANY TWO NUMBERS IS EQUAL TO THE
PRODUCT OF THEIR HCF AND LCM
IRRATIONAL NUMBERS
RATIONAL NUMBERS
Rational numbers
DECIMAL REPRESENTATION
PROVING ?3 or ?5 8 IS AN IRRTIONAL NUMBER
DECIMAL REPRESENTATIONREAL NUMBER IS A RATIONAL
OF THE FORM WHERE THE PRIME FACTORISATION OF
q IS OF THER FORM 2n5m
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POLYNOMIALS
Intersects x-axis at one point
Intersects x-axis at two points
Intersects x-axis at three points
Linear polynomial
Quadratic polynomial
Cubic polynomial
Zeros one
Zeros two
Zeros three
COEFFECIENT OF A POLYNOMIALS
WORD PROBLEMS
QUADRATIC POLYNOMIAL
CUBIC POLYNOMIAL
DIVISION ALGORITHM
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PAIR OF LINEAR EQUATIONS IN TWO VARIABLES
TEST FOR CONSISTENCY
a1xb1yc10
a2xb2yc20
Condition Inference Consistency Geometrical Geometrical
a1/a2?? b1/b2 Unique solution consistent intersecting
a1/a2 b1/b2 ? c1/c2 Infinitely many solutions consistent coincident
a1/a2 b1/b2 c1/c2 No solutions inconsistent parallel
Algebraic Method Of Solving Pair Of Linear
Equations In Two Variables
Word problems
EQUATIONS REDUCIBLE TO PAIR OF LINEAR EQUATIONS
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TRIANGLES
CRITERIA
TRIANGLES
SSS
SIMILAR TRIANGLES
AAA
SAS
PROBLEMS RIDERS
THEOREMS
AREAS OF TRIANGLES
THEOREMS
CONVERSE OF BPT
BPT
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CIRCLES
circles
.
Secant of circle
Tangent to a circle
problems
.
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Introduction to trigonometry
hypotenuse
Opposite side
Trigonometric Ratios
A
Adjacent side
Trigonometric Identities
Value of sin A or cos A never exceeds 1 Value of
sec A or cosec A is always greater than 1
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Some Applications of Trigonometry
Line of sight
Angle of elevation
Horizontal level
Angle of depression
Line of sight
Theodolite
Theodolite is
an instrument to
find out horizontal or
vertical angles and thus enable us to find
heights and distances of objects in our daily
life.
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Statistics
Empirical formula of central tendency 3 Median
Mode 2 Mean
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Probability
Experimental
Theoretical
(Classical)
Number of trials in which the event
happened Total number of trials
Number of outcomes favourable to Event Number of
all possible outcomes of experiment
Elementary event
P(E) P ( ) 1 Not E
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Factorisation Method
Quadratic Equations
General form ax²bxc
descreminant
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ThankYou