Aryan coordinate challenge 3
Given that a x 2 − b x + c has 2 distinct roots lying between ( 0 , 1 ) and a , b , c are natural numbers, find the minimum value of a b c .
The answer is 25.
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1 solution
it can be solved with coordinate too and algebra as its all about mathematics.
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Can you please show your solution using co-ordinate. Thanking you in advance
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since the solution is obtained by making graph which is not possible for me to post as solution .you must try aryan coordinate challenge#2 you will get an idea how to approach.
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@Aryan Goyat – this problem is already there on brilliant!
https://brilliant.org/problems/jee-quadratic-equations-1/?group=0pu5CDUZe3UK
@Aryan Goyat – Hey did u appeared in FTRE?
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@Prakhar Bindal – yes,but i had not expected fiitjee to make such a paper you must see 2013 paper and then compare them.
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@Aryan Goyat – Means? i dont understand u found it easy or tough?
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@Prakhar Bindal – It was too easy,everyone knows that.
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@Aryan Goyat – Yep. How Much did you scored?
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@Prakhar Bindal – score card has been declared only for delhi and not for jaipur.
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@Aryan Goyat – Ok! did not know that
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@Prakhar Bindal – How much did you scored?
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@Aryan Goyat – did not remember exactly and i am too lazy to open it again . but as far as i remember it was like
365-370 /417 in paper 1 and
355-360/399 in paper 2
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@Prakhar Bindal – did not remember exactly and i am too lazy to open it again . but as far as i remember it was like 330-335 /417 in paper 1 and
350-355/399 in paper 2
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@Aryan Goyat – What rank did u got in ftre and AIITS 3?
@Prakhar Bindal – prakhar you should try my 15 follower question.
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@Aryan Goyat – how was your aiits?
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@Prakhar Bindal – the worst it could be.
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@Aryan Goyat – yeah same here i did not attempted 5 integer type in maths!
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@Prakhar Bindal – Are you crossing the mark of 120?
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@Prakhar Bindal – no i made 4 silly mistakes in multi-correct of physics and too i in multi-correct of chemistry have left 6 questions.
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@Aryan Goyat – The worst i am scoring lowest in maths 30/70 :P
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@Prakhar Bindal – Hey i am finding answers to some questions to be ambigous can you help me with them?
there was a question in multicorrect maths in which it was x and y are negative real numbers and two equations were given . i solved and got x = -1/3 and y = -2/3 . hence x+y = -1 but answer is something else
also in physics muticorrect about projectiles i got ABC but answer is given ABCD
Also in physics potential energy and shm one I Got amplitude as pi/4 but in answer it is not given!
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@Prakhar Bindal – yep i was getting the same answer in math and shm one . but what is wrong in part d of projectile.
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@Aryan Goyat – How much are you expecting ? i am expecting about 120
@Aryan Goyat – Hey What is highest expected score from your centre in AIITS-3?
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@Prakhar Bindal – i am not aware about the exact figure but i am sure it will be between 125-135.
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@Aryan Goyat – Yeah i must say that Jaipur is one of the best FIITJEE Centres across india (my sir told me who was previously at jaipur)
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@Prakhar Bindal – what is the highest expected score from your center.
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@Aryan Goyat – Can't Say as we have 2 CM Batches running.I Don't know the scores of the other CM Batch People
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@Prakhar Bindal – what is it in your batch?
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@Aryan Goyat – Well in my batch only 2 persons are scoring above 100
@Aryan Goyat – Congratz For GMO!! :)
@Aryan Goyat – What Rank did you got in ftre?
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@Prakhar Bindal – What did you get?
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@Aditya Chauhan – I Got An All india rank of 17 . what rank did you get?
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@Prakhar Bindal – Whoa Man!!! Congratulations
I didn't give it.
Btw what prize will you get?
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@Aditya Chauhan – I Would have got a cash prize of Rs 60,000 if i would have not been a fiitjee student. The students who are already enrolled in fiitjee don't get any prizes. By the way did you gave RESOSTART?
@Aryan Goyat – Hey Aryan try my organic problems! i am sure u will like them
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@Prakhar Bindal – we are on G.O.C in chemistry and not have explored much in organic but still i will try .
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@Aryan Goyat – ok . well i don't know where are we :P. we are being taught everything in flow and i think we are alcohol,ether and phenol
@Aryan Goyat – how did your interview go?
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@Prakhar Bindal – it also went worst .Though i answered most of their questions correctly but went wrong when talking about pursuing higher studies .
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@Aryan Goyat – What were your questions? please tell me i am having mine on friday
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@Prakhar Bindal – first of all before that i would like to tell you that you should fill your self appraisal form careful as they would take keen interest on whatever you write on it.then secondly you should be well prepared with the topics you are good in every subject. See there are 2 kind of people who will take your interview- 1) those who will not worry about what you have studied and what not they will just ask you question regarding what they are teaching like one in polyscience may ask you chemical properties of nylon,rayon etc 2) these people will focus basically on your strength and ask you questions related to your area of interest like i mentioned mine to be mechanics and they asked me most of questions related to it. at last i would like to say that please read physics NCERT at least once because in physics the laws and terminology play an important role in kvpy interview and get to know what is kvpy actually for else you would be fired like me.
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@Aryan Goyat – YOU SHOULD TRY MY LET'S STUDY CHEMISTRY QUESTIONS THOUGH NOT ALL OF THEM ARE OF KVPY INTERVIEW .
@Aryan Goyat – When is your phase test 3?
@Aryan Goyat – Did you appeared in aits open test?
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@Prakhar Bindal – no i did not as on the same day i had SOF 2 stage.
@Prakhar Bindal – the worst thing that happened with me is in physics because of 4 multicorrect which costed me heavily as marking was +4,-2.
@Aryan Goyat – Making a total of around 720/816
@Aryan Goyat – how m uch did you scored in ftre? (I think answer sheets are out now)
It's not a co-ordinate problem. It's clean algebra. After some tedious manipulations and AM-GM inequality, the answer comes to be 25. After-all the problem is copied from Arihant's Algebra by SK Goyal. The question is there in the solved examples.