Quadratic Equations 06 | Maximum & Minimum value of a Quadratic Polynomial | Class 11 | JEE | PACE
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Answer 1 : (-infinity , 49/4]
Answer 2 : (0, √17/2]
As range of root starts from 0
For the 2nd ans ,,. Range should be [0, (Sq root of 17)/ 2] . Coz the min value of f(x) is 0. So 0 should be included.
@@19.tanmoypati13but if we put x=-1 in f(x) then it also give the same result as x=0 in f(x).
@@rishabhghosal8076 Nah bhai woh -x² (-x)²nahi agar -1 rakhoge to answer √6 ayega isko ek function samajh lo dekho √ ke andar agar koi function hai to uski value hamesha ≥0 rahegi kyuki negative roots imaginary hote hai to iski minimum value 0 pe aati hai
√-x²-x+4≥0
So domain Jo bhi rakhoge us hisab se
Range ayega
[0,√17/2]
Isme agar domain puche to woh Jo factors ha woh dono aur baki Jo value put karoge
The word BHANNAT is a sense of motivation.
😎😎
Amazing hota hai. BHANNAT ka meaning
2:52 Black & white se colourful screen
Humare life bhi aise hi ban gaye hain ( After pace batch reveal )black & white se colourful life
😂😂😀
😀
@@nikhilyadav1665 czcams.com/video/6KzfqdVdRfg/video.html..
Kosish acchi hai, next time aur behtar shayari likhna
@UCW3Cqb_KpZW5U_cM2KLZwKQ ye log pata nhi kaha se aa jaate hai
Quadratic ❌
Kudratic ✅
Respect his knowledge instead of judging his pronunciation
@@attmajasaha8284umm actually 🤓☝️
I followed Alakh Pandey Sir throughout my preparation. It's amazing how much his brand has grown since then!! Thanks a lot sir 🙏🙏
lol and it's falling now, coding wallah, teaching wallah, skills wallah, usning marketting statements that defies the very purpose of this channel and every thing he tried to help students get. I don't blame him, I'm sure he's forced to do some of these things by his investors and while I still have faith in his JEE content and agree that his jee and neet content is very good he i definitely losing his brand value.
@@adithya4804 agree with u bro
What was ur score in jee/neet
Today's lecture starts at an another level. 😃🙂👌🙂😃
Answer (1) (-infinity , 49/4]
Answer (2) [ 0 , √17/ 2]
0 kese aaya
1 Ans :- ( - infinity, 49/4 )
Sir second ka answer me confusion h.
Yaar syd undifined hoga becoz √-infi.. aara hai
Second ka root -infinity aayega jo ki nhi le skte isliye 0 se hoga root17/2
@@nanakguru8244 uska answer mere according whole root17/4 se infinity iota hoga
I think 2nd ans is (0,under root17/4)
Are bahi -d/4a = -root 49/-4= 7/4 hoga na
17:42 is when the range of quadratic polynomials starts.
Thank you
Ty
@@Y2kaditihi
2:53 Phele man emotional ho gya
Fir kaan ke parde fat gye😂
यह इकलौते ऐसे टीचर हैं जिनकी video earphone हटाकर देखनी पड़ती है
Or alakh sir ki headphone laga ke padhhna padta h😂
Kuch bhi
Bhai tumhe padhna bhi h aur faltu comments bhi maarne h...koi sense h is baat ki?
@@chaitanyachoudhary7569 beta mere 11th me 92% aaye h❤️
Maine bs hasi mazak ke point of view se bola h samjhi madam❤️❤️
JEE is my drug..and PW Team is my dealer🤓🤓... It's Really ecstatic when I attend this classes..of specially this beautiful sa channel of a legendary beautiful sa man..
Ans-1 : -infinity to 49/4 i.e. (-infinity,49/4]
Ans-2 : sir root ke andar jo quadratic equation hai uski range to -infinity se 17/4 tak hai magar vo root ke andar hai to vo ek root function ban jayega or aapne function chapter me bataya tha ki root function ki range [0,infinity] hogi to mere khyal se question 2 me range 0 se 17/4 i.e. [0,17/4) tak aani chahiye sir ye mera ek try hai sayad hi sahi hai or please sir mere comment ko pick kar lijiye next video me or sir pura video bhaannat samajh aagya hai :)
When i play the video at 2x it becomes normal speed
yea bro same
Same here
Koi sir bhannat h koi sr Bala h koi sir ka rasayan pila h ❤️❤️❤️👆👆😚😚😚👌👌👌👌 yeh sab alakh sir ki Leela h
T
Jb sir bhannat bolte hai to earphone nikalna padta hai ya volume down krna padta hai #🔥🔥🔥 bhannat has alg lvl ka swag🔥🔥🔥
26:15
Rewinded that for 10 seconds about 10 times, then I got that it is not a + x = ... but at x = ...
Lol😂
aaj ke video ka aaawaz sahi tha bhai....thnks for listening 🙏🏻🙏🏻😎
Ans1- (-infinity,49/4]
Ans2- [0,root17/2]
first time me ho gya sir ji😎😎
Graphs and Range samj me aa gya bhannatly😻😍
aapse pdne me bahut mja aata h, lekin aaj aadhe ghante ki class ne dil tod diya sir.🤤 puri ek ghante ki hoti to mja hi aa jata😋😋
I am from prayas batch still I come here to like the video ☺☺☺☺
Hi gya selection
Answer1:(-infinity,49/4), Answer2:[√17/4, 0]
Are bahi -d/4a = -root 49/-4= 7/4 hoga na
@@IIT_RPR are bahi d = b^2-4ac hota he naki root b^2-4ac
Hlo bhai. Aap allen me padhte the ya padhte ho kya. ????
@@i_priy_anka padhta hu bhai
Waiting till last for listening "" Padhai karte rahe all the very best "" have an another levelled fan base
love you sir
Today's intro is another level🔥
Answers to homework questions:-
Ans 1: (-infinity, 49/4] by applying direct formula
Ans 2: [0, (√17)/2] by first taking the quadratic under the root as z, finding range of z by using formula which comes ot as (-infinity, 17/4]. The range of f(x) will be the root of the values of z. In takimg range, real values are taken so roots of -infinity to 0 are not considered. Then we take roots of the other values and get the range as [0, (√17)/2].
Same Mera bhi 😁😁
bhai how about using infinity iota
@@kuldeep7587 well in range we take the universal set as real numbers so we cant take infinity iota
Are bahi -d/4a = -root 49/-4= 7/4 hoga na
@@IIT_RPR nah bro D is b²-4ac and not √(b²-4ac) so it will be 49/4
My Favourate Teacher is Aman Sir . Sir I Love You very much.
Q1.
As a
Ekdum galat😂😂😂😂
👍👍👍moongfali😂😂
czcams.com/play/PLkJjVKH6vbr-YyIcfGtBI6uT0wmrDKLsn.html this is the channel link where you can find aman sir amit sir and abhilash sir
Kacha badam
binod
IIT TAJ MAHAL
Mumphali🙂
I had seen this intro seven times
As well as I show to my parents and friends
Ans1=(-infinity, 49/4] ans 2=(-infinity, 17/4]
What a great example of mungfali k Dana and math k chhute huye Ques......
Great sir u r really attractive and bhannnnnnnaaaaaatttttt👍👍🙏🙏 like for Aman sir and Alakh Sir who search this teacher for us....
Thanks to both....🙏🙏🙏
Can anybody share all the notes of quadratic eq. Of Aman of lecture in Google drive or any other format will be greateful
30:57 1st ans (-infinity,49/4]
2nd ans (0,√17/2]
Successfully i do both questions!!!!❤❤❤
Range of first question is(-infinity,7/4) and second question is [0,infinity)
Ans 1:(-infinity,49/4]
Second question bahut try try kiya par solve nhi ho raha sir.
Sir graph of quadratic polynomial and min and max value of graph are clear bhannatli
Mujhe solution dedo
31:25
Q1: ( - ♾️ , 49/4]
Q2: (√- ♾️ , √17/2] or ( ♾️ i , √17/2]
Sir all concepts are crystal clear
😂Bhai abhi real functions ki domain and range ki baat ho rhi hai agar complex numbers ghusao toh saari functions ki range all real numbers ho jaaye
How did you solve it,can u send the solution of it pls
17/4 👏
Bhai iota kaise use kiya
Ans 1: (-infinity,49/4]
Ans 2 :[0,17/4]
Can you explain ans 2
After jee announcement
Meme 1: Ab aaega na mazzaa bhidu
Meme 2: Oooo oh Raha Nahi ja Raha😂😂😂
Kaas physics alakh sir padae
@Meme Hub you have a channel ?
Awesome content keep up the good work👍
Meme 5: chala ja b$#k
Meme 5 : ab schl wale teachrs ka ga** phorne ki din paas aa raha hai 😂
Aur bhai life kaisi chal rhi hai
Yes sir aaj ke lecture ka sab kuch samajh aa gya like as u bhanattly.
Now H W questions
Ans-1: (-infinity , 49/4].
And sir second me doubt hai ki underroot se farak padega ya nahi , sir agar farak padega to 'undefined' otherwise [17/4 , -infinity) .
And sir there is a request to you ki sir ikk motivational video ki bhi jararut hai sir plzzz bahaut jararut hai.
Longest Intro ever
I'm starting crying 😭😭😭
By listening background music
Ekdm shi bole
@@GameZtuff then doctor ko dekhao bhai agr rona aa gya too 👨🔧
MeRe HiXaB Xe RoNa AaYe ThO RuMaL dunD LiYa kRo XaBxE PhlE
@@itsme5442 bhai wo doctor nhi smjh payga ye to ek andar se motivation hoti hai🔥
@@inside_unique3507 sahi🤣
Sir Ji Aapka Bataya Hua Sab Samajh Mai Aa Gya
H.w. Q(1) ->
Ans. = Range - (-∞,7/4)
Sir Second Vale mai Confusion Hai but Ans. Aa gaya hai ap dekh lijiye
Q.(2) ->
Ans. = Range - (-∞,±√5/2)
Thank Youy Very Much..........
Ans 1 ... (-infinity,49/4]
Ans. 2....[-root17/2,+root17/2]
Ya bro right
@@ayushpatel3237 😊😊
@@mathslove8382 why are u laughing
Answer:-1 Range(-infinite, 49/4)
Answer:-2 Range(0, √17/4)
Sir please start a full fledged PCM course for 12th class next session targeting JEE.
Matlab Aisa course ki jee fod ke Rakh den.
Ha JEE advance level ka
@@physchopath8742 mera level h 75
Bro prayas batch join ka rlena
Yes sir please start a new batch for 12 for jee 2022 where alakh sir you are also teaching physics
@@pratyushswain3574 yes sir please
Q1 ans is 49/4
Q2 ans is (Under root 17/4)
1st:( infinity,49/4]
2nd:(-infinity,-17/4]intersection[-infinity,17/4)
Howework question 1 Ans ( - infinite, 49/ 4) close question 1 ans close ( 0 , infinite) bhnat
Ans-1 : range of the function is
[49/4 , -∞)
Ans 2 - [0,17/4]
@@sonupaswan9099 👍🙏
1. = (-infinite,49/4]
2. = (0,root17/4]
Awesome teacher delivered op lecture 👏
Bro 2 kaise solve hua?
@@dhonikumarshahi2806 -D/4a is the formula so -D/4a for it will be underoot 17/-4 (underoot -4 = 2) hence the answer for 2nd question is underoot 17/2
Bhai under root -4 toh imaginary hota hai
Root-4 not equal to 2
Ans-1 : (- ♾️,49/4)
Ans-2: (0,√17/2
It's also my answer
Ans-1 (-infinity,49/4]
Ans-2 range of equation is from -infinity but we can't put negative inside root as the solution will became imaginary.So range will be
[0,17/4]
Pls confirm🙏🙏
How Bro.
I don't get 2nd.
My range is (-infinity,√15i/4)
Ans 1: (-infinity, 49/4]
Ans 2: (-infinity, √17/4]
I have doubt in 2nd answer
Anyone can tell.
Second one is wrong no real roots
Can u send the solution
Sir ka lecture padhai me josh bher deta ha
czcams.com/video/aUnTRLKjhWk/video.html
Answer 1: -5/2,49/4
Answer 2: 0,17/4
Ans-1:(-Infinity,49/5]
Ans-2:[0,17/4]
Kya aap Odisha se ho
@@037bishalpattanaik6 No bro
0:48 Par sir Doctor suggest karte hai ki Giri Hui cheez uthakar nahi khana chahiye😁😁...
just a joke....
Else it's a very meaningful Message 💥💢🖤
Kudratic polynomial 😃👌
Ans-1 : (-infinity,49/4)
Ans-2 : (√-infinity, ±√17/2)
Sir ye 2nd vala next video Mai samjha dena...
I m late but attempted And answer is
A. (-infinity, 49/4]
B. (-infinity, √17/4]
But sir meko B ka answer not defined v lag rha hai, coz (-infinity) ^2 not defined hi hona chaiye 😟
B:
√-x^2-x+4 is always > or = to zero
So.
Lets assume if Square root are not given then range will be (-€ , -D/4a ] or (-€ , -4/-4] = (-€ , 1] ok
By the root function rule
(-ve value are not allowed but zero are allowed) so Finally range will be [0 ,1]
okkk
I think your daught are clear now...
Question 1 answer is (- infinity, 49/4)
and
Questions 2 answer is [0,√17/2]
I literally got goosebumps when sir says bhannat
Sir dono answers aa gye
Ans 1: -infinity,49/4
Ans 2: 0,root17/2
Sir second me confusion hai ki answer +root17/2 ,-root17/2 ho skta hai
Review of lecture: aaj ka lecture easy tha sab smjh me aa gya aur qns bhi ban gye
I just made my peanut butter before watching this Class .
Ans - 1) (infinity , 49/4]
Ans - 2) [1-root(17)/2 , 1+root(17)/2]
Note - maine pehle comment kuch aur kiya tha.....but sir uske baad thori der socha and came up with this!!!!
I like ur teaching and teaching process ,really you are good👍👍👍.
Q1.Ans-(-infinty,-49/4)
Q2.Ans-(-1-✓17/2,-1+✓17/2)
32:21 all clr h sr bs range wale m dikkt hui h , lekin bar bar dekh kr smjh lunga 👍
Answer to homework question
1st HW --- Answer is (-infinity, 49/4)
2nd HW --- Answer is [0, root17/2}
Thank you sir for an amazing session....
Ans1: Range=(-infinity, 49/4]
Ans2: Range= [0, (√17)/2]
Aaj ka lecture samajh aa gya sir Bhannatly!!!!!!
Hey to all those who are writing √17, - sign is not included in b²
😂
All are just keep adding 1 to ans
Correct will be √15/2
Even once, i thought that maybe i was wrong, but i checked again and i am damn right 😂
So plzz everyone correct
🤣🤣🤣🤣🤣you are genius or fool ?? √b^2-4ac=√(-1)^2-4(-1)(4) gives√1+16=√17 😏
When I am watching lecture always smiling on my face 😃😃😃🥰🥰🥰🥰
ANS 1:- (- infinity , 49/4]
ANS 2 :- (0, √17/2]
Saare topics acchhe se smjh aa gye h sir...and sorry for late comment sir...Dheere hu pr peeche nhi....🙏🙏
Homework answer 1= (-infinity, 49/4]
Is it correct?
You are really yajat
Reply na
Ye you are right..
@@TTT55668 who are you? I don’t recognise your name
@@authoryajat i m just a physics wallah student
I just want to know that you are really yajat
Or not
@@TTT55668 yes
thank you sir very much
i was very confused because of this topic from last few days but finally now my doubts are clear
ans of HW question
Q1)Ymin = infinity , Ymax = -49/4
Q2)Ymin= -33/8 , Ymax = infinity
Q2 √17/4 to infinity
correct
1st answer:- [49/4,- ♾️)
2nd:- let's google it
And my name is aryan kushwaha 😎
Q-1 : y ∈ [49/4 , ∞)
Q-2 : y ∈ [0 , (√17)/2]
(for real values of y & x)
Bhai second waale ka 17/4 Hai 🕳
@@ryansiddiqui3665 f(x)max=root 17/4
1 answer is wrong
it should be (-infinity,49/4) bcoz coefficient of x² is negative so its parabola will be downward and f(x) will approach -infinity(minimum value)
@@ryansiddiqui3665 bro both are same
@@sabithatellajeera7329 are different
👏👏👏👏👏sir, Ans-1: (-∞,49/4] Ans-2 : for equ. -x ^2 - x + 4 is : (-∞,17/4]🇮🇳🇮🇳🇮🇳🇮🇳🇮🇳🇮🇳🇮🇳
Sir, Please start regular exams(or unit tests) for Class 11 also(Doesn't matter even if we have to pay for that)
Please Sir Please
😭😭😭😭😭😭
Can anybody share all the notes of quadratic eq. Of Aman of lecture in Google drive or any other format will be greateful
@@KKJohn-ok3xw Notes of all lectures are available in PW app.
K thanks
Sahi bol rhe ho bhai
PW app download Kar bhai
Sir aapke pahale line se prabhavit ho gaya, aap ab hamare mathwallah bane gaye ho sir 😘😘😘😘
31:32 me Ans of First Question is (-∞,49/4] and 2nd answer smjh nhi aya kaise hoga........😥😥😥
can you describe
@@omjha252 (-D/4a) ko put kar dai ho jayega.
@@omjha252 waise yeh wrong likha hai.
1.ans [1/4,♾️] ayega.(a>0)
2.ans[-♾️-15/4]ayega.(a
1.ans is (- infinity, 49/4)
2.ans is (- infinity, √17/2)
Am I right 😊
Maximum & Minimum value -- this helped me in the Machine learning Algo( data science) concepts .. Thank you Sir, You are just AWSOME .....😍😍😍🥰🥰🥰🥰🥰
Which course ?
Nd clg ?
प्रश्न संख्या १ का समाधान:- [-अनन्तता,४९/४)
प्रश्न संख्या २ का समाधान करने कि कोशिश मैंने की परन्तु मैं गणित की माया जाल में फस गया और मैं ये समाधान करने मै असफल रहा ।
अर्थात मुझे आपसे अभी बहुत कुछ सीखना बाकी है,और मैं हर शाम यही कोशिश करता हूं🙏।
Some Pdf notes are not opening like:- Quadratic Equations 04, Complex Numbers 09, Motion in plane 02, Goc 05 etc. Please solve this problem as soon as possible as I have to revise.🙏🙏
Hw ans. 1=(infinity,49/4] and
Ans.2= [0,17/4] I use graph for second ans.
Ans 1: [- infinity,49/4].
Ans 2 : nhi aaya sir😭😭
1st:( -~,49/4]
2nd: [17/16,~)
Sir bilkul clear hai
Answer-1: (-infinity, +49/4).
I am sorry because I couldn't do 2nd question 😭😢😥😟
Same here yaar
Ans - 1 : ( - infinity, 49/4)
Ans - 2 : ( - infinity, -under root 17/2)
1+-root 17/2
Sir ne moongfali wali baat ek dm shi kahi hai main bhi yhi karta hun😀😀
#laalach😂
1. (-infinity,49/4)
2. (-infinity,289/16)
2:52 ..... that's what you want looking for.....
Thank me later 😁
Bhannnat!!!
@@adityas848 yupppp ...
Edit : bro its "Omae wa" and not "owae wa" .... 😅😂
@@anybodygaming2165 :P
I got caught :P
Sir me PCB student hun Magar mujhe math karne mein bahat majaa aaraha he Aap ke class karne ke baad....
Thanku sir...
Tab to aap PCMB student hue na
@@nikhilraj84677 I am a NEET aspirant..
@@chandrakantajena6793 Ok, ATVB for your exam
@@nikhilraj84677 I am in 11...
@@nikhilraj84677 Thanks
Homework question
Q1 :- range=(-infinity,49/4]
Q2:- range=[√17-1/2,17/4]
-infinty,49/4
-♾️,root17/4
Very slow speed sir
Ans 1 : (-∞,12.25]
Ans 2 : (∞¡ , √17/2 ]
Ekdum bhannat tarike se nikal liya. ❤️❤️❤️❤️
Bhai 2nd Ka kaise Nikal a ek Baar BATA toh
@@shlokjaiswal2119 bhai, pahle whole square ke form me convert karo, aur fir square wale quantity ko, maximum and minimum value mante hua , answer nikal lo
Really sir you are the best teacher..
What a nice motivation!!!
Before the lecture starts...😊😊
You are so great sir...
Intro me Zindgi ka sabse bada GYAAN hai Se Sab JEE NEET Se Pare Hai
Very Emotional 😭😭😭😭😭😭
You are unique Sir 👍👌👌👌👌
18:20 starting of maximum and min value