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If Then Implications | Contrapositive (in Hindi)
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In this lesson, the concept of conditional statements has been discussed along with their truth tables and negations. Also the contrapositive concept has been explained.

Vineet Loomba is teaching live on Unacademy Plus

Vineet Loomba
IITian | No. 1 Educator in IIT-JEE (Maths) | 4 Million Minutes Watch Time | 8+ Years Experience | Youtube: Maths Wallah | vineetloomba.com

U
Unacademy user
sir I have a trick we can assume p as advance and q as mains exam in p->q
agar explaination ka koi noble hota na to apko milta......😍😍😍😍😍
Vineet Loomba
5 months ago
Thanks a lot
sir jee mains me is chapter se questions kaise aate hai.please sir uske liye bhi ak video banaye .
Vineet Loomba
9 months ago
ok
Worth Lecture and clear understanding of different concept.
MN
talent h teaching made easy ka
Vineet Loomba
8 months ago
Thanks a lot
  1. MATHEMATICAL REASONING ALL YoU NEED FOR JEE MAIN (NTA SPECIAL) JEE MAIN RANK BOOSTER COURSE PREPARED BY ER. VINEET LOOMBA ITIAN IIT-JEE MENTOR


  2. 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


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  5. 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)


  6. 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)


  7. 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)


  8. 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)


  9. 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)


  10. 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)


  11. 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)


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