## 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

FOR 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) ENROL for this Course (Free) Enroll 439 Recommend Lessons (Like) E Rate and Review the Course .Comments . Sharing with friends 15 1. 68 111 ratings 21 reviews Share ER. VINEET LOOMBA (IIT RooRKEE) MATHEMATICS FOR IIT-JEE

100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Basic connectives: -* 'and' SUCCESS IN EE 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)

100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Ex. 5 < 12 and 15<7 p: 5 <12 q: 15 < 7 Clearly p, q are false statements The compound statement with word "and" is true if all its component statements are true The compound statement with word "and" is false if any or all of its component statements are false. The compound statement "p and q" is denoted by "p ^ q". SUCCESS IN JEE MAIN ER. VINEET LOOMBA (IIT RooRKEE)

100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Truth table for compound statement with word "And'" TFF SUCCESS IN EE MAIN ER. VINEET LOOMBA (IIT RooRKEE)

100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) The word "OR" Any two statements can be connected by the word "OR" to form a compound statement. Ex. 125 is a multiple of 7 or 8. Its component statements are. p: 125 is a multiple of 7 q 125 is a multiple of 8 clearly, both p and q are false Ex. The earth is round or the sun is hot Its component statements are: p: the earth is round q: the sun is hot. Clearly, both p and q are true. SUCCESS IN JEE MAIN ER. VINEET LOOMBA (IIT RooRKEE)

100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) The compound statement with word "or" is true if any or all of its component statements are true The compound statement with word "or" is false if all its component statement are false * The compound statement "p or q" is denoted by "p v q" SUCCESS IN JEE MAIN ER. VINEET LOOMBA (IIT RooRKEE)

100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Negation of compound statements: If p and q are two component statements then the negation of the compound statement (i) (p or q) is p and q (p v q)-p q (ii) ~(p and q) is ~ p or ~ q ~(p ^ q)--p v-q SUCCESS IN EE MAIN ER. VINEET LOOMBA (IIT RooRKEE)

100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Results: Truth table * p pvq~ We observe that last two columns are identical Hence ~(pv q) = ~ p ~ q SUCCESS IN EE MAIN ER. VINEET LOOMBA (IIT RooRKEE)

FOR 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) ENROL for this Course (Free) Enroll 439 Recommend Lessons (Like) E Rate and Review the Course .Comments . Sharing with friends 15 1. 68 111 ratings 21 reviews Share ER. VINEET LOOMBA (IIT RooRKEE) MATHEMATICS FOR IIT-JEE