Modulus Problem with a Classic Solution 😎
Students often make the mistake of solving modulus questions with a limited types of approaches, Let's find out how to solve unique problems in an efficient manner.
In this video we are taking on a tricky modulus question from a Russian book:
|x+1| - |x| + 3|x-1| - 2|x-2| = x+2.
🚀🚀Social Media Links:🚀🚀
----------------------------------------------------------------------------------------
Telegram: (Channel) - t.me/bhannatmathsofficial
(Group) - t.me/bhannatmaths
Telegram Handle: @bhannatmaths @bhannatmathsofficial
Instagram: / mybhannatmaths
Twitter: bhannatmaths?s=08
----------------------------------------------------------------------------------------
#modulus #bhannatmaths #maths #amansirmaths
For any query/doubt mail us at: bhannatmaths@gmail.com
For All Notifications Join Our Telegram Group: @bhannatmaths
Пікірлер: 182
No one is speaking about sir's unique spectacles collection 😂😎🔥
@pradeepsrivastava2376
11 ай бұрын
Yaa
@shaileshs.3177
11 ай бұрын
😂😂
@Sanatani_10889
11 ай бұрын
Ghar ka store hai glasses ka🤫🤫
@alien3200
4 ай бұрын
Sir ka papa lenskart mai kaam karta tha
@lakshyadhimanld027
3 ай бұрын
Because we are serious jee aspirants
Question about which sir is talking about is of [JEE Advanced 2013 Paper 2 Question 44] ( i.e; Question 4 of Mathematics section) Q) f(x) = 2|x| + |x+2| - |lx+2l - 2lxl| has a local minimum or local maximum at x= (a)-2 (b)+2 (c)-2/3 (d)+2/3
@mainaksarkar4469
11 ай бұрын
Code 0 Q42 Code 3 Q48
@apurvajha1917
11 ай бұрын
+2 aayga answer graph se bnaaye toh pta chala ki 2|x|+|x+2| aaur ||x+2| -|2x|| ka graph coincide krega at all real values of x .
@groovygames4313
11 ай бұрын
@@apurvajha1917 mera graph se minimum -2 aur maximum -2/3 aa rha
@apurvajha1917
11 ай бұрын
My bad
Just for all JEE aspirants reference, I used to wonder how does that trick works in my JEE days for ploting such functions, just by marking values at critical points. It is because no matter how the mod opens for different mods the nature of the whole function will either remain linear or constant ( as with only sign difference we cant produce x power terms ) so simply we mark values at critical point and make the graph linear. PS: even tho the LHS is linear nature and RHS is linear nature but we still get 2 solutions which is like mod eq can store multiple solutions in a linear nature, unlike polynomials(eg.quadratic) they store 2 solutions but their nature of equation is different. In short mod equations are collection of solutions of different/indifferent linear equations. I hope this gave a new perspective to your view of mod equations
GOOD COLLECTION OF BOTH SPECTACLES AND QUESTION
Aman Sir, what are your opinions about solving the Black Book for maths.Many say that, as it is written by Indian author(Vikas Gupta sir), and apt for jee advance. I am currently in class 11th.
@UnstoppableAmit
11 ай бұрын
Bro solve only 44 years jee advanced pyq with coaching material two to three times is much better than opting for any other book 📚....
@shoumiksadhukhan4621
11 ай бұрын
Sir how can we solve this by making case
@QueenDivya43
11 ай бұрын
Bro am also in class 11 and I am also solving black book it is very good book when I completed 1 chapter from it I Sol jee ad pyq I solved many of them
@QueenDivya43
11 ай бұрын
It nice book for jee ad all topers say that
Sir really I solve question without watching video within 15 -35 min.and find the answer But sir when I watch video then I learn graphical method that is too much. Love you and loving your methods.❤❤❤❤
Pranam guru ji❣️
Very nice method sir ❤️
Wao sir " U are great " ❤
Sir you are great mathematician. Your concept and your approach is very beautiful ❤️ sir
My interest in maths to know more depth is increasing day by day and my addiction for maths is also increasing
Awesome sir
On 22 July ,you uploaded a vedio in which you solved bansal sir question but you devide the equation by 'x' but x may be 0 . You can't Devide by x until it is confirmed that x can't be 0 , Sir my question is that how do you know that x can't be zero And I am watching your vedios since last year , your questions are nice love you
@duryodhan903
11 ай бұрын
Videolink?
@Qwerty25414
11 ай бұрын
@@duryodhan903 kzread.info/dash/bejne/nKGKuq5-lteyfrA.html
Sir please make a video for classification of numbers 🙏🙏🙏
Love you sir
Pranaam Sir❤️🙏
Sir plz batado konse year ka hai wo wala iit ka , solve karta phir
Sir please solve. Sinx+Cosx=tanx find the all possible value of 'x'
wese yeh lamba method hai, because left hand side jo points hain wo hain -1,0,1,2 equidistant so right most if it is leaving line at x=2 no need to check it will cross again at x=-2 (if last flip occurs after -2) so need not to plot others
which board are you using??
Nice
Sir aapne point functions ko continuous bola hai lekin ncert unko continuous nahi manti toh jee ke liye use continuous maane ya nahi???????
Just came from the movie and sir uploaded this video 😂😂
Great sir
Lots of love ❣️ sir , now I am in IIT ISM Dhanbad ❤
@aashishkumar9658
11 ай бұрын
Bhaiya jalao mtt😢
Sir peheli baar me hogaya dono triko se 😀
JEE ADVANCED 2013 multiple. Modulus question also same approach se ho jayega
Sir please 🥺 aik video chahiye about strategy to solve math questions by self .sir bohot dikkat aati hai .who wants this video from Aman sir please like 👍
maan gaye sir app ho actually BHANNAT 🙏🙏🙏🙏🙏
I will rise soon
@growth7143
11 ай бұрын
No need to rise just beat yourself
@advaymayank1410
11 ай бұрын
😬😬😬😬
@Naman_JEE25
11 ай бұрын
Me too And best of luck
@aniasprelltinerosdez333
11 ай бұрын
"I will rise soon"🤓🤡
@alien3200
11 ай бұрын
@@advaymayank1410👍🏼👍🏼
At the Beginning, what's the background music name ??
legend ho sir
how to solve it algebrically?
Sir maine aise hi kiya tha
Bahut badhiya solution hain aapka. Aapke solution koh optimize kiya jaa sakta hain, x+2 koh bhi LHS mein lagaa loh, RHS koh bana doh zero. Phir graph draw karna, aur roots (X-axis crossings) honge solutions.
Sir agr hmne is question ko cases se solve kiya to bhi to solve hota hai vo glt method hai?
Just because of you sir I am able to develop the critical thinking in maths.....thank you sir so much..... Coming to this video....I solved this in 1st attempt
Sir mujhe bhi Bansal sir ke problems and solutions dekhne hai Mai kaha se dekh sakta hu
My jee journey is over (is in iiitA ) but still watching your content ❤️
Really great method...You are great sir jee ❤
Koi advanced wala question batayega??
mathsmerizing also give the sam solution of this type of questions
Graph se jyada jaldi solution aa aata hai sir ji i understand
Samajne ki koshis kar rahi hu❤
It hits me really hard that why RUSSIA was written at the top of question
I feel like this problem is from prelipko aka problems in mathematics by v govorov
I love the way you teach sir🙇🙇💕
I did same thing . Jee aspirants but took 2 min
But here we need exact sketching know sir but which don't do in general?
Mai yaha thumbnail dekh kar aaya 😂😂😂😂😂😂GADAR
sir aap trigonometric functions ke questions aur concepts ka video bana sakte ho
@gauravaggarwal
11 ай бұрын
kzread.info/dash/bejne/qJVtmtuwp8K-qMY.htmlsi=pM8uosm82OEMi9n_
Tell me sir how to join your paid course
What if there is an enequality in this problem?
Aap kaise h sir
Sir madhyamik mai maths hai aache marks kaise laayn pls Batao
😮😮😮
7:40 sir Waha (-3 ) = | (0) - 1 | × 3 , Hoga answer aapne 3 leke 1 k sath jod diya
My favorite mathematics teacher ---- *Aman sir*
Ye bahut majedaar tha sir👍👍
Sir S L loney k coordiinate geometry book review pls
bhaisahab next level thinking sir jii
Just a normal method for modulus question, so much hyped he has done
@utkarshgoyal7420
3 ай бұрын
yeah either by cases or graph
Sir give some of this type
Jabh yeh plot banaya, toh x + 2 koh bhi LHS le jaasaktay hain aur directly roots hee read kar saktay hain, no?
Hello sir I HAVE A DOUBT 🙌🙌 sir agar hum log 0 with base 2 rakhe to output kya aana chayiye?🙋♂️🙋♂️🙋♂️🙋♂️🙋♂️🙋♂️
@keshavchoudhary3976
11 ай бұрын
-(♾️)
@sankalpsharma594
11 ай бұрын
@@keshavchoudhary3976 🤝🤝
My favourite teacher is ashish agrawal ❤❤❤ and you too
@ShubhamSingh-we8hv
11 ай бұрын
Ashish Aggarwal sir ❤❤❤ Ne bhi aise method sikhaya hai
Sir #karan_Sangwan sir ke bare mein kuchh boliye
Sir aapko kitne mile hai jee advanced mei phir jab aap try karte ho
Indirectly cases toh bna rhe?
@itishreepanda1641
11 ай бұрын
Sahi kaha bhai wo chiz karke gadar bolte hai
-2 without seen solution
sir graph me aapne origin alag alag liya hai,jaise f(x) = x + 2 ke liye aapne graph ko (2,4) se start kiya hai,aise hi f(x) = -(x+2) ke liye aapne graph (-1,-1) se start kiya hai,sir ye to galat hai kyuki sabhi graph ka starting point or refernce point aapne ek rule ke hisab se nhi liya.Sahi to tab hoga jab f(x) = x+2 ko aap (0,2)se shuru kroge.Kindly clear my doubt
Sir plz solve this problem X^5+x+1=0 Then x^3-x^2=?
@gauravaggarwal
11 ай бұрын
if x^a + x^b + x^c given such that out of a,b,c one is of the form 3k, one is 3k+1, one is 3k-1 then that polynomial is divisible by (x^2+x+1) so 5 = 3*2-1, and other exponents are alraedy 0,1 so perfct triplet so just divide it by x^2+x+1 you will get x^3-x^2+1 so answer is -1
Hi sir
sameer sir taught this in class
Good evening, sir, I am currently a student of grade 10. I just thought of this way to solve the question. Kindly check this and let me know if this solution has any problem. Take 2 cases 1) x greater than or equal to 2. For this |x+a| = x+a where a belongs to real numbers and |x| > |a| -----{Since x is positive} {Here |x| can also be equal to |a|} => x + 1 - x + 3x - 3 -2x + 4 = x+2 => 2=2 Hence for all values of x greater than or equal to 2, the equation is satisfied --------- {We have not taken below 2 because we need |x| > |a| or are equal} 2) x less than -2 We have taken x less than -2 because, |x+a| can be written as |x| - |a| for all |x| > |a| and 'a' being positive. ------{Hence |x| must have been greater than 2} {Since we have taken all positive values, x must be less than 2} Similarly, |x-a| can be written as |x| + |a| for all |x| > |a| and 'a' being positive. Using these, |x+1| - |x| + 3|x-1| - 2|x-2| = x+2 => |x| -1 -|x| + 3|x| + 3 -2|x| -4 = x+2 => |x| - x = 4 => Either x-x = 4 OR -x-x = 4 Discarding 0 = 4, -2x = 4 => x= (-2) HENCE ONLY ONE POSSIBILITY FOR x Therefore, x belongs to {-2} U [2, infinity) Kindly confirm this approach to the solution. Thank you!
@ayushrana124
11 ай бұрын
Correct ❤❤
Sir parnam
Acha laga khud krke
Not first but fast
My exponential graph has crossed x=1 now it's about time
@rudranilmukherjee3798
11 ай бұрын
What
@abeersharma9487
11 ай бұрын
@@rudranilmukherjee3798 value of exponential graph increases rapidly after x=1 and also value is >1
@rudranilmukherjee3798
11 ай бұрын
@@abeersharma9487 but what do you mean by " my exponential graph has crossed x=1 now it's about time. "
@abeersharma9487
11 ай бұрын
@@rudranilmukherjee3798 that means I have improved enough to score enough to clear cutoff for jee advance now I am improving so that i can clear iit as well
Sir in the case 0
@ashgreninja5699
11 ай бұрын
X 0 se 1 liye ho toh ans x =-1 aa rh Tumne toh x ko (0,1) liya n toh usme -1 ni aata toh nhi hoga woh
@duryodhan903
11 ай бұрын
Bro u are contradicting yourself. First you are saying case 0
@trulysatyam8231
11 ай бұрын
Thanks bro😄👍
@YuezhiTribe
11 ай бұрын
Bhai vo sol (x= -1)tumhari uper mentioned condition (0
@dangerzone3200
11 ай бұрын
Imaginary
i solved it graphically without even seeing the solution
Bari hea
Sir ap JEE Advanced 2023 ke maths ke Solutions ki Video bna dijiye . Apke Solutions bohot acche hote ha ❤❤🙏🙏
I solved it I don't believe
Hii 🥰🥰🥰🥰
First like and first comment ❤
Mod ke andar linear and quadratic donon a gai to
@user-tp2qh5zn7m
11 ай бұрын
FIR kya karenge sir
@SaifKhan-mf4ho
11 ай бұрын
Quadratic ke factors karke use linear me convert aur phir wavy curve apply karna
I will bounce back
First view sir ji
Sir I want to join your paid course
@Ajeetkumar-zp6uy
11 ай бұрын
How to join your paid course sir ?
We indians always love Russians 🌚
@MixbOOsted
11 ай бұрын
stop it.... atleast here🤡
@YuezhiTribe
11 ай бұрын
Irodov🗿
@Enchantedquillx2
11 ай бұрын
6k
@BelieveConfident
11 ай бұрын
@@YuezhiTribe haha
@AvikGupta-ch7oh
10 ай бұрын
🤡🙂
Sir this method cannot be applicable for all questions See this question |x-3| +|2x-3| = 3|x-2| try this question u cannot solve this by graph method
Sir mera solution to x = -1 and x ≥ 2 aa rha hai.... Maine galat kiya hai kya?
@advarbindkumar5791
11 ай бұрын
Obviously
@roar-and-rattle
11 ай бұрын
@@advarbindkumar5791 galat hai?
@advarbindkumar5791
11 ай бұрын
@@roar-and-rattle ha galat hai
@roar-and-rattle
11 ай бұрын
@@advarbindkumar5791aapne Kiya?
I bet you can't factor this : x^2-2(p+q)x-pq(p-2)(q-2)
@gauravaggarwal
11 ай бұрын
bet accepted (x-2p -2q -pq)(x+pq)=4pq
@gauravaggarwal
11 ай бұрын
How i factorized suppose p,q are roots of t^2 -at+b =0 then (p-2),(q-2) will be roots of z^2 - (a-4)z + (2a+b+4) = 0 so (p-2)(q-2) = 2a+b+4 your equation can be rewritten as x^2 -2ax -b(2a+b+4) = (x-a)^2 - (a+b)^2 -4b =(x-2a-b)(x+b) -4b = (x-2p-2q-pq)(x+pq)-4pq
@bijayanandamahata464
11 ай бұрын
Yeah thanks
@bijayanandamahata464
11 ай бұрын
But the answer is : (x-pq-2p)(x+pq-2q)
@gauravaggarwal
11 ай бұрын
@@bijayanandamahata464 hey buddy answer nahi batana tha , could have denied only
Sir i have more better approach
@Mohitsaini-fb5dw
11 ай бұрын
In less than 50s i have done
@Mohitsaini-fb5dw
11 ай бұрын
Plz reply
@Giles_corey_
11 ай бұрын
Can you tell?
Sir aapne point functions ko continuous bola hai lekin ncert unko continuous nahi manti toh jee ke liye use continuous maane ya nahi????????
@An_ony_mous
11 ай бұрын
Discontinuous. Always prefer NCERT because even IIT strongly recommends it. I know it's not good for the prep but follow it strictly.
@An_ony_mous
11 ай бұрын
It is actually continuous because the graph dosent break.
Sir aapne point functions ko continuous bola hai lekin ncert unko continuous nahi manti toh jee ke liye use continuous maane ya nahi??????
@BHANNATMATHS
11 ай бұрын
Khaan Bola ??
@neilvincent
11 ай бұрын
@@BHANNATMATHS sir aapki continuity wali playlist me ek video hai continuity of point functions usme bola hai aapne.
@neilvincent
11 ай бұрын
@@BHANNATMATHSsir aapne continuity of point function me bola tha please reply