JSFiddle - React, Tailwind, and code Playground

HTML

<input type="radio" id="1" name="radio" value="one_method" aria-required="true" onClick="selected(this);" checked >
<input type="radio" id="2" name="radio" value="two_method" aria-required="true" onClick="selected(this);" >


<form id="one" method="GET" action="https://yandex.ru/search/?" target="_blank">
<input type="hidden" name="text">
</form>

<form id="two" method="GET" action="https://yandex.ru/search/?" target="_blank">
<input type="hidden" name="text">
</form>

<input type="button" value="Отправить" id="button-confirm"  onClick="send()" class="button">

JavaScript

function selected(a) {
    var label = a.value;
    if (label=="one_method") {
       document.getElementById("one").style.display='block';
   } else {
       document.getElementById("one").style.display='none';
   }
       var label = a.value;
    if (label=="two_method") {
       document.getElementById("two").style.display='block';
   } else {
       document.getElementById("two").style.display='none';
   }
}

function send() {

	var method = document.getElementsByName("radio").value;
	if (method=="one_method") {
		document.getElementById('one').text.value = 'Первое слово';
		document.getElementById('one').submit();
	} 
	if (method=="two_method") {
		document.getElementById('two').text.value = 'Второе слово';
        document.getElementById("two").submit();
   }
}