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 bisect 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

Question

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 bisect 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) is a rational number.

Philoid · Accepted Answer

(i) This statement is False

Because the Radius of the circle is not it chord

(ii) This statement is False

Because A chord does not have to pass through the center.

(iii) This statement is true,

Because a circle can be an ellipse in a particular case when the circle has equal axes.

(iv) This statement is true,

Because for any two integer, if x – y id positive then –(x-y) is negative

(v) This statement is False

Because square root of prime numbers are irrational numbers.