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

(i) p: Each radius of a circle is a chord of the circle.

(ii) q: The centre of a circle bisects each chord of the circle.

(iii) r: Circle is a particular case of an ellipse.

(iv) s: If x and y are integers such that x > y, then –x < -y.

(v) t: is a rational number.

(ii) q: The centre of a circle bisects each chord of the circle.

‘q’ is false. We can show this by giving a counter-example. A chord which is not a diameter does not pass through the centre.

(iii) r: Circle is a particular case of an ellipse.

‘r’ is true. In the question of an ellipse if we put a = b, then it is a circle using direct method.

(iv) s: If x and y are integers such that x > y, then –x < -y.

By rule of inequality ‘s’ is true.

(v) t:is a rational number.

‘r’ is false. Since 11 is a prime number, therefore is irrational.