I have added some overlays in openlayer 3.Is it possible that if i click on ctrl+mouse left click and drag mouse to select a rectangular area on map and i need to get the overlays listed in that particular area?
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Yes, it is possible with the DragBox element.
This way you declare the element:
And you can add it as interaction to your already existing map:
If you want to add some behavior, it is possible to call the events boxstart and boxend:
You will find more information in the OpenLayers 3 API: http://openlayers.org/en/latest/apidoc/ol.interaction.DragBox.html
You can also take a look at the Box Selection example here: https://openlayers.org/en/latest/examples/box-selection.html