How Many Rational Point's are enclosed by an circle Having centre \(e\), \(pi\) ?

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How Many Rational Point's are enclosed by an circle Having centre \(e\), \(pi\) ?

Please Help

Thanks!

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TopNewestWhat is the radius of the circle? – Sudeep Salgia · 2 years, 3 months ago

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– Karan Shekhawat · 2 years, 3 months ago

Actually This question was Given To me By My Freind And He is So cruel and Doesn't Give any Information for radius .Log in to reply

– Sudeep Salgia · 2 years, 3 months ago

If the question means asks to find the number of rational points ( assuming it means points whose coordinates are rational numbers ) " enclosed " by the circle i.e., the union of set of points within the circle and on the circle it would strongly depend upon radius and I feel there would not be any nice looking formula for the same. If the questions demands to find the points lying "on" the circle then Ronak's argument seems quite valid.Log in to reply

– Karan Shekhawat · 2 years, 3 months ago

yeah Thanks a ton , Now I got it !Log in to reply

If the radius of the circle not given then there is at most one rational point, since your arbitarily choose a point like (3,5) and hence decide the radius of the circle but then you will not get another rational point. – Ronak Agarwal · 2 years, 3 months ago

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And If Radius is fixed Then ? @Ronak Agarwal – Karan Shekhawat · 2 years, 3 months ago

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– Ronak Agarwal · 2 years, 3 months ago

My argument works for only the points lying on the circle. For finding the number of points enclosed by the circle it is impossible to find it without knowing the radius.Log in to reply

– Karan Shekhawat · 2 years, 3 months ago

Yes I understand , My cruel friend tell me Poorly , Instead of This He should ask number of points Lies on Circle , which is 1 as You Explained betterly ! And Thanks for Replying :)Log in to reply

@KARAN SHEKHAWAT – Ronak Agarwal · 2 years, 3 months ago

Is your friend enrolled in fiitjee , cause this question recently appeared in AITS PART-TEST 2Log in to reply

Also What rank did You get in it ?, I'am just curious to know ! – Karan Shekhawat · 2 years, 3 months ago

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Part Test-2 All India Rank-34

Part Test-3 All India Rank-Yet to be known – Ronak Agarwal · 2 years, 3 months ago

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– Sudeep Salgia · 2 years, 3 months ago

Congratulations!! Nice work!!Log in to reply

@Ronak Agarwal

wow ! That's Great ! Can You Please Tell me procedure also ?Also It is not good to ask But still , How much % wise You Got in AITS ? Please reply Ronak . – Karan Shekhawat · 2 years, 3 months ago

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AITS-2 Percentage =56.11 %

AITS-3 Percentage = Yet to be known. – Ronak Agarwal · 2 years, 3 months ago

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– Karan Shekhawat · 2 years, 3 months ago

Thanks ! Is All paper are of 360 marks ? i think difficulty level of these paper are High .Log in to reply

– Ronak Agarwal · 2 years, 3 months ago

Yes, actually there are two papers paper 1, paper 2 and yes they are quite tough.Log in to reply

Fiitjee AITS

Check this@KARAN SHEKHAWAT – Ronak Agarwal · 2 years, 3 months ago

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@Deepanshu Gupta @megh choksi @Ronak Agarwal @Mvs Saketh @Sudeep Salgia @Karthik Kannan @jatin yadav @Krishna Sharma – Karan Shekhawat · 2 years, 3 months ago

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