Okay some extra info for those who want to do more revision. Chapter 4: ~when roots are additive inverse b=0 ~when roots are multiplicative inverse a=c ~α-β= √(S²-4P) ~if α β are roots of a quadratic equation then n/α, b/β are roots of ax²+nbx+n²c=0 -1/α and 1/β are roots of cx²+bx+a - n/α, n/β are roots of cx²+nbx+n²a=0 Now chapter SEVEN (mostly probability since it's not revised in the lecture) SAMPLE SPACE is the set containing all possible outcomes EVENT is the sets containing particular outcome P(E)= n(E) /n(S) = no. Of event elements/ no. Of sample space elements P(E) can only occur between 1 and 0 i.e. 0≤ p(e)≤1 --for tossed coins -no. Of possible outcomes i.e n(S) is 2^n where n is the no. Of coins. 》 for dice it is 6^n and n is no. of dices/dies. 》 cards: there are total 52 cards. Black cards are 26 and so are red cards. There are 12 face cards (4 joker, 4 king, 4 queen) there are 4 ace cards, 13 spade cards, 13 club, 13 diamond, 13 heart cards. ~~UNION INTERSECTION OF PROBABILITY CUZ IDK WHAT ARE THEY CALLED. P(AUB)=P(A) +P(B) when A and B are disjoint and doesn't have same events P(AUB) = P(A)+P(B)-P(AΠ B) when sets overlapping. P(AΠB) = P(A). P(B) when P(A) doesn't affect B. P(AΠB) = P(A). P(B) where P(B) has P(S) -1. when A affect B. CHAPTER 6: Here is a thing about Sum of Geometric progression. For infinite series there is convergent ad divergent series. In convergent series |r|
@@AlizehAbid-le8cf prepre from basic text and then see sample papers on their website you can prepare for doogars pu book find it online dont purchase.
Fast m zyada quantative reasoning ar analytical reasoning k question aaaata h. Also physics is imp for fast uni test. Aldo i would like to clear that this is not for fast but actually ecat and net
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Okay some extra info for those who want to do more revision.
Chapter 4:
~when roots are additive inverse b=0
~when roots are multiplicative inverse a=c
~α-β= √(S²-4P)
~if α β are roots of a quadratic equation then n/α, b/β are roots of ax²+nbx+n²c=0
-1/α and 1/β are roots of cx²+bx+a
- n/α, n/β are roots of cx²+nbx+n²a=0
Now chapter SEVEN (mostly probability since it's not revised in the lecture)
SAMPLE SPACE is the set containing all possible outcomes
EVENT is the sets containing particular outcome
P(E)= n(E) /n(S) = no. Of event elements/ no. Of sample space elements
P(E) can only occur between 1 and 0 i.e. 0≤ p(e)≤1
--for tossed coins -no. Of possible outcomes i.e n(S) is 2^n where n is the no. Of coins.
》 for dice it is 6^n and n is no. of dices/dies.
》 cards: there are total 52 cards. Black cards are 26 and so are red cards. There are 12 face cards (4 joker, 4 king, 4 queen) there are 4 ace cards, 13 spade cards, 13 club, 13 diamond, 13 heart cards.
~~UNION INTERSECTION OF PROBABILITY CUZ IDK WHAT ARE THEY CALLED.
P(AUB)=P(A) +P(B) when A and B are disjoint and doesn't have same events
P(AUB) = P(A)+P(B)-P(AΠ B) when sets overlapping.
P(AΠB) = P(A). P(B) when P(A) doesn't affect B.
P(AΠB) = P(A). P(B) where P(B) has P(S) -1. when A affect B.
CHAPTER 6:
Here is a thing about Sum of Geometric progression. For infinite series there is convergent ad divergent series. In convergent series |r|
tysm < 3
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Sirwhich formula/technique did u use at 1:01:12
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Sir ap ye lecture apne channel pe upload kare ge na
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take common and cancel out terms
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@@MuhammadUmer-xv8wg tu Pu ki tyari kaha sey kro?? Koi idea??
@@AlizehAbid-le8cf prepre from basic text and then see sample papers on their website
you can prepare for doogars pu book find it online dont purchase.
Math samj nhi a rha
Same situation 😂
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Is it helpful for FAST NU test?
Fast m zyada quantative reasoning ar analytical reasoning k question aaaata h. Also physics is imp for fast uni test. Aldo i would like to clear that this is not for fast but actually ecat and net
Fast university ke entry test mein I guess physics nhi hoti
@@IbrahimShabib hoti h. Physics k mcqs aate hain
Engineering and cs mein nhi hoti
@@IbrahimShabib oh my mistake
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