NCERT class 11 maths chapter 14 Mathematical Reasoning
Question 1:For each of the following compound statements first identify the connecting words and then break it into component statements. (i) All rational numbers are real and all real numbers are not complex. (ii) Square of an integer is positive or negative. (iii) The sand heats up quickly in the Sun and does not cool down fast at night. (iv) x = 2 and x = 3 are the roots of the equation 3x2 – x – 10 = 0.
Exercise 14.3 maths class 11 Chapter 14 Mathematical Reasoning
Question 2:Identify the quantifier in the following statements and write the negation of the statements. (i) There exists a number which is equal to its square. (ii) For every real number x, x is less than x + 1. (iii) There exists a capital for every state in India.
CBSE class 11 maths ncert solutions Chapter 14
Question 3:Check whether the following pair of statements are negation of each other. Give reasons for your answer. (i) x + y = y + x is true for every real numbers x and y. (ii) There exists real numbers x and y for which x + y = y + x.
Question 4:State whether the “Or” used in the following statements is “exclusive “or” inclusive. Give reasons for your answer. (i) Sun rises or Moon sets. (ii) To apply for a driving licence, you should have a ration card or a passport. (iii) All integers are positive or negative.
