Edit in JSFiddle

var app = angular.module('app', []);
app.controller('bodyCtrl', function($scope) {
  $scope.categories = [{
    id: 1,
    name: 'General',
    is_active: true
  }, {
    id: 2,
    name: 'Web Development',
    is_active: true
  }, {
    id: 3,
    name: 'Web Design',
    is_active: false
  }, {
    id: 4,
    name: 'SEO Optimization',
    is_active: true
  }, {
    id: 5,
    name: 'Cloud Server',
    is_active: true
  }, {
    id: 6,
    name: 'Networking',
    is_active: false
  }];
});
<br/>
<br/> 
<div ng-controller="bodyCtrl" class="container well">
  <div class="form-group">
    <label>Active Category</label>
    <select class="form-control" ng-model="active_category" ng-options="category.id as category.name for category in categories | filter:{is_active: true}" ng-init="active_category = ''">
      <option value="">Choose Category</option>
    </select>
  </div>
  <div class="form-group">
    <label>Inactive Category</label>
    <select class="form-control" ng-model="active_category" ng-options="category.id as category.name for category in categories | filter:category.is_active == false" ng-init="active_category = ''">
      <option value="">Choose Category</option>
    </select>
  </div>
</div>
<a herf='http://blog.sohelrana.me/remove-ngoptions-elements-angularjs/'>Click Here</a> to see more

              

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