In Logcat your Places link is –
https://maps.googleapis.com/maps/api/place/nearbysearch/json?location=0.0,0.0&radius=5000&types=mosque&sensor=true&key=AIzaSyAEZ252ulUWkOIKtJw9O7JvrYz3RLp0N_c
Notice the location parameter – your latitude and longitude values are 0.0 and google response is also NULL. So that you are not able to see places on map. Try to debug your latitude & longitude values and also check if your Location sensor (GPS) is on/off. Hope it will help !
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solved How to search nearby places with google API? [closed]