Write the negation of the following statements:
(i) Chennai is the capital of Tamil Nadu.
(ii) √2 is not a complex number.
(iii) All triangles are not equilateral triangle.
(iv) The number 2 is greater than 7.
(v) Every natural number is an integer.

Solution:

The negation of a statement is a statement that gives the opposite meaning of the given statement. i.e., if the given statement is true, its negation is false and vice versa.

(i) Chennai is not the capital of Tamil Nadu.

(ii) √2 is a complex number.

(iii) All triangles are equilateral triangles.

(iv) The number 2 is not greater than 7.

(v) Every natural number is not an integer

NCERT Solutions Class 11 Maths Chapter 14 Exercise 14.2 Question 1

Write the negation of the following statements: (i) Chennai is the capital of Tamil Nadu. (ii) √2 is not a complex number. (iii) All triangles are not equilateral triangle. (iv) The number 2 is greater than 7. (v) Every natural number is an integer

Summary:

Negation of the following statements are (i) Chennai is not the capital of Tamil Nadu √2 is a complex number (iii) (iii) All triangles are equilateral triangle (iv) The number 2 is not greater than 7 (v) Every natural number is not an integer