Inverse Trigonometric Functions Question 104
Question: The number of integer x satisfying $ {{\sin }^{-1}}| x-2 |+{{\cos }^{-1}}(1-| 3-x |)=\frac{\pi }{2} $ is
Options:
A) 1
B) 2
C) 3
D) 4
Show Answer
Answer:
Correct Answer: B
$ {{\sin }^{-1}}| x-2 |+{{\cos }^{-1}}(1-| 3-x |)=\frac{\pi }{2} $
Or $ | x-2 |=1-| 3-x | $
Or $ | x-2 |+| 3-x |=| (x-2)+(3-x) | $
Or $ (x-2)(3-x)\ge 0 $
Or $ 2\le x\le 3 $
BETA
