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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.

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.

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.

@Ronak Agarwal
–
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 :)

@Ronak Agarwal
–
I don't know , May be He is ! Hey when did Fiitjee AITS starded ? Can I enroll in it now ? I want to give full length test of AITS . Can You Please Tell me Procedure and Time table of Exams ?

Also What rank did You get in it ?, I'am just curious to know !

@Ronak Agarwal
–
wow ! That's Great ! Can You Please Tell me procedure also ? @Ronak Agarwal
Also It is not good to ask But still , How much % wise You Got in AITS ?
Please reply Ronak .

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This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.

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## Comments

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TopNewestWhat is the radius of the circle?

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

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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.

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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.

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Could You Please Explain More , It sound's Interesting !

And If Radius is fixed Then ? @Ronak Agarwal

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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.

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@KARAN SHEKHAWAT

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 !

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Part Test-2 All India Rank-34

Part Test-3 All India Rank-Yet to be known

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@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 .

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Fiitjee AITS

Check this@KARAN SHEKHAWAT

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AITS-2 Percentage =56.11 %

AITS-3 Percentage = Yet to be known.

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@Deepanshu Gupta @megh choksi @Ronak Agarwal @Mvs Saketh @Sudeep Salgia @Karthik Kannan @jatin yadav @Krishna Sharma

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