The number of rational points possible on the circumference of a circle having centre (pi,e) ?


(Rational point means, both the co-ordinates of the point is a rational number).

2 years ago


Answers : (2)



since pi and e are both irrational 

and pi not equal to e

2 years ago

Answer given is "Atmost one" ..


(Try with co-ordinates 0,0 and radius sqrt(pi^2+e^2)) ..

2 years ago

Post Your Answer

More Questions On Analytical Geometry

Ask Experts

Have any Question? Ask Experts
Post Question
Answer ‘n’ Earn
Attractive Gift
To Win!!!
Click Here for details
Find the locus of the focus of an ellipse with major axis 4 and Minor axis 2, which touches both the co-ordinate axes... Kindly Answer My question.... And also the one that I have posted...
Thanks and Regards, Ajay verma, askIITians faculty, IIT HYDERABAD
Ajay Verma 8 months ago
Sir, What if the ellipse touches the co-ordinate axes not in the way that you have mentioned but in a slanted way, ie., such that the major axis makes some angle with the x-axis (like when...
Pranjal K 8 months ago
[ r1 – r ]/a + [r2 – r]/b =?
Hello Student, Thanks & Regards Arun Kumar Btech, IIT Delhi Askiitians Faculty
Arun Kumar 3 months ago
Tangents are drawn from the point (α,β) to the hyperbola 3x 2 -2y 2 =6 and are inclined at angles θ and φ to the x-axis. If tanθ.tanφ =2, prove that β 2...
please check the attached file
Sunil Raikwar 8 months ago
Hi Pranjal, There is slight technical issue. Please post these questions again in analytical Geometry. We will upload the answers for the same. askIITians Faculty
sunil raikwar 8 months ago
Given equation is Equations of tangents are the roots of this equation is therefore Thanks &Regards, Sunil Raikwar, askIITians faculty.
sunil raikwar 8 months ago
2f(sinx)+f(cosx)=x find domain and range. Thanks
domain is all R, as the function is valid for all space R, but to find the range the f must be clear what the function f is , since the funciton f is not given it is not possible to give the...
Sher Mohammad 3 months ago
Let f:[-1, 2] → R be differentiable such that 0 ≤ f’(t) ≤ 1 for t ∈ [-1, 0] and -1 ≤ f’(t) ≤ 0 for t ∈ [0, 2]. Then options -2 ≤ f(2) – f(-1) ≤ 1 1 ≤ f(2) – f(-1) ≤ 2 - 3 ≤ f(2) – f(-1) ≤ 0...
Property: If m & M are the minimum and maximum values of f(x) in [a, b], then ∫ f( x) between the limits a & b lies between m(b – a ) & M(b – a) 0 ≤ f ’ (t) ≤ 1 for –1 ≤ t ≤ 0 =>f (t) = ∫ f...
Y RAJYALAKSHMI 2 months ago
View all Questions »