NCERT class 11 maths chapter 14 Mathematical Reasoning
Question 1:Rewrite the following statement with “if-then” in five different ways conveying the same meaning. If a natural number is odd, then its square is also odd.
Exercise 14.4 maths class 11 Chapter 14 Mathematical Reasoning
Question 2:Write the contrapositive and converse of the following statements. (i) If x is a prime number, then x is odd. (ii) If the two lines are parallel, then they do not intersect in the same plane. (iii) Something is cold implies that it has low temperature. (iv) You cannot comprehend geometry if you do not know how to reason deductively. (v) x is an even number implies that x is divisible by 4.
CBSE class 11 maths ncert solutions Chapter 14
Question 3:Write each of the following statements in the form “if-then” (i) You get a job implies that your credentials are good. (ii) The Bannana trees will bloom if it stays warm for a month. (iii) A quadrilateral is a parallelogram if its diagonals bisect each other. (iv) To get an A+ in the class, it is necessary that you do all the exercises of the book.
Question 4:Given statements in (a) and (b). Identify the statements given below as contrapositive or converse of each other. (a) If you live in Delhi, then you have winter clothes. (i) If you do not have winter clothes, then you do not live in Delhi. (ii) If you have winter clothes, then you live in Delhi. (b) If a quadrilateral is a parallelogram, then its diagonals bisect each other. (i) If the diagonals of a quadrilateral do not bisect each other, then the quadrilateral is not a parallelogram. (ii) If the diagonals of a quadrilateral bisect each other, then it is a parallelogram.
