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) 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.



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