One way is to use Array#filter with Array#some + JSON.stringify() for comparison.

Note that Array#filter returns a new array. So the variable needs to be reassigned.

let originalArray = [
  {name: 'abc', country: 'eng'},
  {name: 'xyz', country: 'ind'},
  {name: 'pqr', country: 'us'}
];

let objectToBeRemove = [
  {name: 'pqr', country: 'us'}
];

originalArray = originalArray.filter(obj => 
  objectToBeRemove.some(objToRemove => 
    JSON.stringify(objToRemove) !== JSON.stringify(obj)
  )
);

console.log(originalArray);

Note: Using JSON.stringify() is a little primitive for object comparison in my opinion. For instance the check would fail if the properties are in different order {country: 'us', name: 'pqr'}. Better way would be to do a deep comparison. For eg. using _.isEqual from loadash library. See here for more info.

Using loadash

let originalArray = [
  {name: 'abc', country: 'eng'},
  {name: 'xyz', country: 'ind'},
  {name: 'pqr', country: 'us'}
];

let objectToBeRemove = [
  {country: 'us', name: 'pqr'}
];

originalArray = originalArray.filter(obj => 
  objectToBeRemove.some(objToRemove => 
    !_.isEqual(objToRemove, obj)
  )
);

console.log(originalArray);

<script src="https://cdnjs.cloudflare.com/ajax/libs/lodash.js/4.17.4/lodash.min.js"></script>

You can use "filter" function to do that: https://developer.mozilla.org/fr/docs/Web/JavaScript/Reference/Global_Objects/Array/filter

var myArr = [{name: "toto"}, {name: "tata"}, {name: "tutu"}];
var toRemove = {name: "tata"};

let ret = myArr.filter(function(el) {
  return el.name != toRemove.name;
});

Or for removing multiple items:

var myArr = [{name: "toto"}, {name: "tata"}, {name: "tutu"}];
var toRemove = [{name: "tata"}, {name: "tutu"}];

for (var i = 0; i < toRemove.length; i++) {
  let index = myArr.findIndex((el) => { // Search item index to remove
    return el.name == toRemove[i].name;
  }); 

  if (index != -1) myArr.splice(index, 1); // Remove item in found index
}

To compare the equality of the complete object you could use the JSON.stringify() method.

Example;

JSON.stringfy(originalArray[i]) === JSON.stringfy(objectToBeRemove)