Which of the following statements are true and which are false? In eac

1.	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) t: √11 is a rational number.
Answer» (i) p: Each radius of a circle is a chord of the circle. The Radius of the circle is not it chord. Hence, this statement is False. (ii) q: The centre of a circle bisect each chord of the circle. A chord does not have to pass through the center. Hence, this statement is False. (iii) r: Circle is a particular case of an ellipse. A circle can be an ellipse in a particular case when the circle has equal axes. Hence, this statement is true. (iv) s: If x and y are integers such that x > y, then – x < – y. For any two integers, if x – y id positive then – (x - y) is negative. Hence, this statement is true. (v) t: √11 is a rational number. Square root of prime numbers is irrational numbers. Hence, this statement is False.

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) t: √11 is a rational number.

Answer»

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

The Radius of the circle is not it chord.

Hence, this statement is False.

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

A chord does not have to pass through the center.

Hence, this statement is False.

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

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

Hence, this statement is true.

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

For any two integers, if x – y id positive then – (x - y) is negative.

Hence, this statement is true.

(v) t: √11 is a rational number.

Square root of prime numbers is irrational numbers.

Hence, this statement is False.