NCERT class 11 maths chapter 14 Mathematical Reasoning
Question 1:Show that the statement p: “If x is a real number such that x3 + 4x = 0, then x is 0” is true by (i) direct method, (ii) method of contradiction, (iii) method of contrapositive
Exercise 14.5 maths class 11 Chapter 14 Mathematical Reasoning
Question 2:Show that the statement “For any real numbers a and b, a2 = b2 implies that a = b” is not true by giving a counter-example.
CBSE class 11 maths ncert solutions Chapter 14
Question 3:Show that the following statement is true by the method of contrapositive. p: If x is an integer and x2 is even, then x is also even.
class 11 maths solutions Mathematical Reasoning
Question 4:By giving a counter example, show that the following statements are not true. (i) p: If all the angles of a triangle are equal, then the triangle is an obtuse angled triangle. (ii) q: The equation x2 – 1 = 0 does not have a root lying between 0 and 2
Question 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. (ii) q: The centre of a circle bisects 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.
