## Vineet Loomba is teaching live on Unacademy Plus

MATHEMATICAL REASONING ALL YoU NEED FOR JEE MAIN (NTA SPECIAL) JEE MAIN RANK BOOSTER COURSE PREPARED BY ER. VINEET LOOMBA ITIAN IIT-JEE MENTOR

100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) ABOUT ME B. Tech. From IIT Roorkee IIT-JEE Mentor Since 2010. * Many of my students are pursuing courses in IITs, NITs, BITs etc unacademy Currently running my own Coaching Institute for JEE Main and Advanced Follow me @ https://unacademy.com/user/vineetloomba to get updates or search me on Google

100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) SPECIAL ANNOUNCEMENT Share useful links and advice with your learners... CRASH COURSE FOR JEE MAIN 2019 (JANUARY SESSION) Find courses & lessons 735 Courses IIT JEE 2,521 Courses Str Chemistry 797 Courses Details in Plus Tab wwEest HINDI Home My Library Plus Profile SUCCESS IN JEE MAIN ER. VINEET LoOMBA (IIT RooRKEE)

100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Follow me on Unacademy for Next live Special Class Strategy for JEE Main and Advanced V Limits, Continuity, Differentiability v Sets, Relations and Functions V Indefinite Integration V Definite Integratiorn Trigonometry VApplications of Derivatives Complex Number Permutations Combinations Binomial Theorem V Logarithmic Functions V Sequences Series V Straight Lines Applications of Integrals Circles (Detailed Course) Probability Most Important Questions in IIT-JEE Mathematics Parabola (Detailed Course) Ellipse (Detailed Course) Inverse Trigonometry Upcoming Courses next month: Coordinate Geometry Differential Equations

100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Types of Sentences O Imperative sentences (expresses a request or command) Exclamatory sentences (expresses some strong feeling) O Interrogative sentences (asks some questions) SUCCESS IN JEE MAIN ER. VINEET LOOMBA (IIT RooRKEE)

100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) "A sentence is called a mathematically acceptable statement if it is either true or false but not both". $ A statement is assumed to be either true or false. -* A true statement is known as a valid statement and a false statement is known as an invalid statement. Note: A statement cannot be both true and false at the same time. Sentences involving variable time such as "today", "tomorrow" or "yesterday" are not statements. SUCCESS IN JEE MAIN ER. VINEET LOOMBA (IIT RooRKEE)

100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) O Three plus two equals five. - Yes -T O The sum of two negative number is negative. -Yes -T O Every square is a rectangle. - Yes-T Three plus four equals six. _Yes F All prime numbers are odd.-Yes F Every relation is a function. _ Yes F The sum of x and y is greater than 0-No The square of a number is even.-No SUCCESS IN JEE MAIN ER. VINEET LOOMBA (IIT RooRKEE)

100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) (i) Give me a glass of water. (ii) Is every set finite? (ii) How beautiful? (iv) Tomorrow is Monday. These all the sentences are not a statement. SUCCESS IN EE MAIN ER. VINEET LOOMBA (IIT RooRKEE)

100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Negation: The denial of a statement p is called its negation and is written as ~p, and read as 'not p'. Negation of any statement p is formed by writing or or inserting the word "not" in p. SUCCESS IN JEE MAIN ER. VINEET LOOMBA (IIT RooRKEE)

100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Example p : The number 2 is greater than 7. The negation of this statement is p It is not the case that the number 2 is greater than 7 or p It is false that the number 2 is greater than 7. or p : The number 2 is not greater than 7. SUCCESS IN JEE MAIN ER. VINEET LOOMBA (IIT RooRKEE)

100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Example: 25 is a multiple of 5 and 8 The component statements are p : 25 is a multiple of 5 q 25 is a multiple of 8 The connecting word is "and" Example: Number 3 is prime or it is odd The component statements are p : Number 3 is prime q: Number 3 is odd. The connecting word is "or" SUCCESS IN JEE MAIN ER. VINEET LOOMBA (IIT RooRKEE)

100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) The word "AND" : Any two statements can be connected by the word "and" to form a compound statement. Ex. 42 is divisible by 5, 6 and 7 The component statements of this statement are- p : 42 is divisible by 5. q 42 is divisible by 6. r: 42 is divisible by 7. Clearly statement p is false, while the q and r are true statements. Ex. 9 > 4 and 2 < 7 The component statements of this statement are p:9>4 q 2 7 Clearly p, q are true statement SUCCESS IN JEE MAIN ER. VINEET LOOMBA (IIT RooRKEE)

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