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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 chord of the circle.

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

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

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

(v) t:11 is a rational number.

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Solution

(i) False, Because, no radius of a circle is its chord.

(ii) False, Because , a chord does not have to pass through the centre.

(iii) True. Because a circle is an ellipse that has equal axes.

(iv) True. Because, for any two integers, if x -y is positive then - (x - y) is negative.

(v) False. because square roots of prime numbers are irrational numbers.


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