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Mathematics Mind Maps. - Class X. EUCLID’S DIVISION ALGORITHM. REAL NUMBERS. Irrational numbers. Fundamental Theorem of Arithmetic. FINDING HCF. PRODUCT OF ANY TWO NUMBERS IS EQUAL TO THE PRODUCT OF THEIR HCF AND LCM. IRRATIONAL NUMBERS. RATIONAL NUMBERS. Rational numbers.
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Mathematics Mind Maps - Class X MIND MAP... G. GIRIDHARA GOPAL KENDRIYA VIDYALAYA KURNOOL
EUCLID’S DIVISION ALGORITHM REAL NUMBERS Irrational numbers Fundamental Theorem of Arithmetic 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 PROVING3 or 5 + 8IS AN IRRTIONAL NUMBER DECIMAL REPRESENTATIONREAL NUMBER IS A RATIONAL OF THE FORM WHERE THE PRIME FACTORISATION OF q IS OF THER FORM 2n5m MIND MAP... G. GIRIDHARA GOPAL KENDRIYA VIDYALAYA KURNOOL
POLYNOMIALS COEFFECIENT OF A POLYNOMIALS WORD PROBLEMS QUADRATIC POLYNOMIAL CUBIC POLYNOMIAL DIVISION ALGORITHM MIND MAP... G. GIRIDHARA GOPAL KENDRIYA VIDYALAYA KURNOOL
PAIR OF LINEAR EQUATIONS IN TWO VARIABLES TEST FOR CONSISTENCY a1x+b1y+c1=0 a2x+b2y+c2=0 Algebraic Method Of Solving Pair Of Linear Equations In Two Variables Word problems EQUATIONS REDUCIBLE TO PAIR OF LINEAR EQUATIONS MIND MAP... G. GIRIDHARA GOPAL KENDRIYA VIDYALAYA KURNOOL
TRIANGLES CRITERIA TRIANGLES SSS SIMILAR TRIANGLES AAA SAS *PROBLEMS* **RIDERS** THEOREMS AREAS OF TRIANGLES THEOREMS CONVERSE OF BPT BPT CONVERSE OF PYTHAGORAS THEOREM PYTHAGORAS THEOREM MIND MAP.-CLASS- XG. GIRIDHARA GOPAL KENDRIYA VIDYALAYA KURNOOL
CIRCLES circles . Secant of circle Tangent to a circle problems . MIND MAP... G. GIRIDHARA GOPAL KENDRIYA VIDYALAYA KURNOOL
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 MIND MAP... G. GIRIDHARA GOPAL KENDRIYA VIDYALAYA KURNOOL
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. MIND MAP... G. GIRIDHARA GOPAL KENDRIYA VIDYALAYA KURNOOL
Statistics Empirical formula of central tendency 3 Median = Mode + 2 Mean MIND MAP... G. GIRIDHARA GOPAL KENDRIYA VIDYALAYA KURNOOL
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 MIND MAP... G. GIRIDHARA GOPAL KENDRIYA VIDYALAYA KURNOOL
Quadratic Equations Factorisation Method General form: ax²+bx+c descreminant MIND MAP... G. GIRIDHARA GOPAL KENDRIYA VIDYALAYA KURNOOL
ThankYou MIND MAP... G. GIRIDHARA GOPAL KENDRIYA VIDYALAYA KURNOOL