Rational point's

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

Thanks!

Note by Karan Shekhawat
6 years, 6 months ago

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What is the radius of the circle?

- 6 years, 6 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 .

- 6 years, 5 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.

- 6 years, 5 months ago

yeah Thanks a ton , Now I got it !

- 6 years, 5 months ago

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.

- 6 years, 6 months ago

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

And If Radius is fixed Then ? @Ronak Agarwal

- 6 years, 5 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.

- 6 years, 5 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 :)

- 6 years, 5 months ago

Is your friend enrolled in fiitjee , cause this question recently appeared in AITS PART-TEST 2 @KARAN SHEKHAWAT

- 6 years, 5 months ago

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 !

- 6 years, 5 months ago

Part Test -1 All India Rank-4

Part Test-2 All India Rank-34

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

- 6 years, 5 months ago

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 .

- 6 years, 5 months ago

Check this Fiitjee AITS

- 6 years, 5 months ago

AITS-1 Percentage =63.33 %

AITS-2 Percentage =56.11 %

AITS-3 Percentage = Yet to be known.

- 6 years, 5 months ago

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

- 6 years, 5 months ago

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

- 6 years, 5 months ago

Congratulations!! Nice work!!

- 6 years, 5 months ago