"We have served YOU for the last five years with dedication. Today we acknowledge YOUR grievances and now we will rise to YOUR expectations," Omar wrote in a series of tweets late last night.
Omar also expressed confidence that his party will bounce back to script an historic comeback.
"We have always survived and sustained. We have bled on our flag and never allowed it to fade. From here, we will script a historic comeback," he added.
"We are humbled by your verdict. This is as good a place to start learning and embarking on a new journey. We will learn. We will grow!" he added.
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National Conference and Congress, which contested the Lok Sabha polls together in the state, drew a blank as BJP defeated its rival party candidates at national level in Jammu and Ladakh regions while the regional party was routed by regional arch rival Peoples Democratic Party on the three seats in the Valley.
"Words that I identify with closely," he added.