Question

Statement 1 : The maximum and minimum values of the function f (x) = 1/6 sin x - 8 cos x + 5  does not exist.

Statement 2 : The given function is an unbounded function.

(a) Statement-1 is false, Statement-2 is true.

(b) Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1

(c) Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.

(d) Statement-1 is true, Statement-2 is false.

Answer 1

Correct option (c) Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.

Explanation:

Let g(x) = 6 sin x – 8 cos x + 5

 It is an unbounded function.

f(x) has no maximum and no minimum values.