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Last updated at May 29, 2018 by Teachoo

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Ex 14.5, 5 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. This statement is false By definition the chord , It should intersect the circle in two points OB & OC are radius of circle But they don’t intersect the circle at two points Hence OB & OC are not the Chord of a circle. Ex14.5, 5 Which of the following statements are true and which are false? In each case give a valid reason for saying so. (ii) q: The centre of a circle bisects each chord of the circle. The given statement is false. Here AB is a chord as it intersect the circle at two points, But it does not pass through center O So, center of circle does not bisect each chord of the circle Ex14.5, 5 Which of the following statements are true and which are false? In each case give a valid reason for saying so. (iii) r: Circle is a particular case of an ellipse. This statement is true Equation of ellipse is 𝑥2𝑎 + 𝑦2𝑏 = 1 Putting a = b 𝑥2 + 𝑦2𝑏 = 1 x2 + y2 = b which is the equation of circle So, circle is particular case of ellipse Ex14.5, 5 Which of the following statements are true and which are false? In each case give a valid reason for saying so. (iv) s: If x and y are integers such that x > y, then –x < –y. x > y Multiplying –1 both sides (–1)x < (–1)y –x < –y This is the rule of inequality Thus, the given statement s is true. Ex14.5, 5 Which of the following statements are true and which are false? In each case give a valid reason for saying so. (v) t: 11 is a rational number. 11 cannot written in the form of 𝑝𝑞 Hence 11 is irrational Hence the given statement is false.

Chapter 14 Class 11 Mathematical Reasoning

Serial order wise

About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.