Maths-
General
Easy

Question

# Statement - I For any real value of  or  the value of the expression 0 or y≥2 (either less than or equal to zero or greater than or equal to two)Statement - II  for all real values of  .

Hint:

## The correct answer is: Statement-I is false, Statement-II is true

### Here we have to find the which statement is correct and if its correct explanation or not.Firstly,Statement-1: For any real value θ ≠ (2n + 1) π or (2n + 1) , nϵ I, the value of expressiony =( cos^2 θ -1)/ ( cos^2 θ + cos θ) is y ≤ 0 or y ≥ 2 ( either less than or equal to zero or greater than to two.We have,Or As the range of secx is ≤−1 and ≥1Or 1−y<−1 and 1−y>1Or y>2 and y<0.So statement I is False, Statement-II – secθ∈(−∞,−1]∪[1,∞) for all real values of θ.So we know that for all , range of sec x ≤−1 and ≥1,So secθ∈(−∞,−1]∪[1,∞) for all real values of θ.Therefore, statement-II is correct.The correct answer is Statement – I is false, Statement – II is true.

In this question, we have to find the statements are the correct or not and statement 2 is correct explanation or not, is same as assertion and reason