## 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) Conditional statements or implications If p and q are any two statement then the compound statement in the form "If p then q" is called a conditional statement or an implication. The statement "If p then q" is denoted by p ->q orp q to be read as p implies q) In the implication "p -q", p is called the antecedent (or the hypothesis) and q the consequent (or the conclusion) SUCCESS IN JEE MAIN ER. VINEET LOOMBA (IIT RooRKEE)

100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Truth table for a conditional statement: TF FT F TTF F F T T Note: p q is false only when p is true and q is false. SUCCESS IN JEE MAIN ER. VINEET LOOMBA (IIT RooRKEE)

100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Negation of a conditional statement TITI FI F T F F FTT FFT FITI F FIFI TI F SUCCESS IN JEE MAIN ER. VINEET LOOMBA (IIT RooRKEE)

100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Ex. Write the negation of each of the following statements: (i) Ravish is tall, therefore he is slim (ii) If it is raining, then the game is cancelled. p Ravish is tall. q Ravish is slim Sol. (i) Let q Ravish is not slim Now (p -q)pq (p - q) - Ravish is tall and he is not slim p It is raining q : The game is cancelled. Then, ~q : The game is not cancelled. (ii) Let ~ (p q) = It is raining and the game is not canceled. SUCCESS IN JEE MAIN ER. VINEET LOOMBA (IIT RooRKEE)

100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Contrapositive of a Conditional Statement p-> q = (~ q) (-p) T FI F FTT F FT TFF T FTT F FFT T SUCCESS IN JEE MAIN ER. VINEET LOOMBA (IIT RooRKEE)

100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Ex. Write the contrapositive of the following. statements (i) If x is non-negative, then x is zero. (ii) If the weather is cold, then it will snow. Sol. ) Let p:x is non negative q: x is zero Nowp : x is not non-negative q x is not zero. ~q ~ p : If x is not zero, then x is not non negative. p : The weather is cold q : It will snow ~p : The weather is not cold ~ q : It will not snow (ii) Let Now ~q ~p: If it will not snow, then the weather is not cold. SUCCESS IN JEE MAIN ER. VINEET LOOMBA (IIT RooRKEE)

100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) p q is true only when both p and q have the same value. F T F F Negation of Biconditional statement: SUCCESS IN JEE 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