Which of the following statements are true and which are false? In each case give a valid reason for your answer. 

Hi, I have a question and I hope anyone could answer it:

Which of the following statements are true and which are false? In each case give a valid reason for your answer. 

(i) p: √11 is an irrational number 

(ii) q: Circle is a particular case of an ellipse. 

(iii) r: Each radius of a circle is a chord of the circle 

(iv) S: The center of a circle bisects each chord of the circle 

(v) t: If a and b are integers such that a -b. 

(vi) y: The quadratic equation x² + x + 1 = 0 has no real roots