Which of the following statements are true and whihc 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: circles is a particular case of an ellipse.
(iv) s : if x and y are integeres such that `xgty` , then `-xlt-y`.
(v) t: `sqrt(11)` is a rational number.

Explanation

(i) The given statement p is false as a chord of a circle is the line segment joining any two distinct points on a circle.

(ii) The given statement q is false
If the chord is not the diameter of the circle then the center will not bisect that chord.
In other words, the center of a circle only bisects the diameter which is the chord of the circle.

(iii) The equation of an ellipse is

`x^2/a^2+y^2/b^2=1`

If we put a=b=1 then we get `x^2+y^2=1` which is an equation of a circle.
Therefore circle is a particular case of an ellipse.
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