KVPY Sample Paper KVPY Stream-SX Model Paper-22

The equation \[|\sin \,x|\,\,=\sin x+3\] has in\[[0,\,\,2\pi ]:\]

A) no root

B) only one root

C) two roots

D) more than two roots

Correct Answer: A

Solution :

If \[\sin \,\,x>0\] \[\Rightarrow \] \[\sin \,x=\sin \,x+3\]\[\Rightarrow \] not possible

If \[\sin \,\,x<0\]\[\Rightarrow \] \[-\sin \,\,x<0\]\[\Rightarrow \] \[-\sin x=\sin x+3=1\]

\[\sin x=-\,3/2\] not possible