mathematics mind maps

- Class X

MIND MAP... G. GIRIDHARA GOPAL KENDRIYA VIDYALAYA KURNOOL

MIND MAP... G. GIRIDHARA GOPAL KENDRIYA VIDYALAYA KURNOOL

Rational n

umbers DECIMAL REPRESENTATIONPROVING 3 or 5 + 8 IS AN IRRTIONAL NUMBER

CUBIC POLYNOMIAL

POLYNOMIALSLinear polynomial

Quadratic polynomial

Cubic polynomial

Zeros: one

Zeros: two

Zeros: three

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Intersects x-axis at one pointIntersects x-axis at two points

Intersects x-axis at three points

COEFFECIENT OF A POLYNOMIALSQUADRATIC POLYNOMIAL

DIVISION ALGORITHM

Word

problems

PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

MIND MAP... G. GIRIDHARA GOPAL KENDRIYA VIDYALAYA KURNOOL

Condition Inference Consistency 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

a1x+b1y+c1=0 a2x+b2y+c2=0TEST FOR CONSISTENCY

MIND MAP.-CLASS- XG. GIRIDHARA GOPAL KENDRIYA VIDYALAYA KURNOOL

TRIANGLES

SIMILARTRIANGLES AAA SAS

T

HEOREM

S

THEOREMS

SSS

problems

circles

Tangent to a circle

MIND MAP... G. GIRIDHARA GOPAL KENDRIYA VIDYALAYA KURNOOL

MIND MAP... G. GIRIDHARA GOPAL KENDRIYA VIDYALAYA KURNOOL

Opposite side

Adjacent side

h y p o t e n u s e

A

Trigonometric Ratios

Trigonometric Identities

Value of sin A or cos A never exceeds 1Value of sec A or cosec A is always greater than 1

MIND MAP... G. GIRIDHARA GOPAL KENDRIYA VIDYALAYA KURNOOL

Angle of elevation

Horizontal level

Line of sight

Angle of depressionLine 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.

MIND MAP... G. GIRIDHARA GOPAL KENDRIYA VIDYALAYA KURNOOL

MIND MAP... G. GIRIDHARA GOPAL KENDRIYA VIDYALAYA KURNOOL

Number of trials in which the event happenedTotal number of trials

ExperimentalExperimental TheoreticalTheoreticalNumber of outcomes favourable to Event

Number of all possible outcomes of experiment

Elementary eventElementary event

P(E) + P ( ) P(E) + P ( ) = 1= 1 = Not E= Not E

((ClassicalClassical))

Factorisation Method MIND MAP... G. GIRIDHARA GOPAL

KENDRIYA VIDYALAYA KURNOOL

descreminant

General formGeneral form: : ax²+bx+cax²+bx+c

MIND MAP... G. GIRIDHARA GOPAL KENDRIYA VIDYALAYA KURNOOL