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Since you guys are getting doubts, now I feel the question itself is wrong!!!

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i reckon something is missing.

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Fiitjee AITS finds a way to frustrate any jee aspirant no matter how much they are prepared in some way or other.

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He is saying answer is 0.33 @Sanjay_S @JEE2020

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wth.

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Obvio infinite pairs. Some function of infinity/infinity form will be there.
Also k doesnt matter much.
a,b are two integers and we have to find ordered pairs such that there sum is the square of a number.

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makes sense.
but i have no clue how to proceed.

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Point is not about infinite pairs , if k is rational then some series of pairs will be formed for each natural no via which we can estimate the function amd maybe the functions limit when taken acc to condition is finite.

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I have an idea but I need to review it. It will use pnc of some kind.
Like those questions which require ordered pairs if
x+y+z=33
Ordered pairs given by n+r-1Cr-1 type

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i reckon that there’s some use pnc

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woah bro :joy: timing

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Hit n trial could be used for f(1) , f(2),f(3)… to estimate the function f(n)

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Doing the same but it wont work here fosho

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Yep getting no function

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bro @manan_uppadhyay do you know beggar method in pnc

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Ya mention toh kiya upar bro

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this one just realised bro sowie

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If there was no square root neeche then I am geting the answer. :joy:

you’re getting 0.33 uh? :joy:

Yes see:


This is a simple limit then

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