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Question -

Which of thefollowing statements are true and which are false? In each case give a validreason for saying so
(i) p: Each radius of a circle is a chord of thecircle.
(ii) q: The centre of a circle bisect each chord ofthe 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: Eachradius 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 circlehas 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) isnegative.

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.

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