If there is a one case that on open a yahoo.com page through selenium and on the click on any link on the home page of http://www.yahoo.com .it takes me to http://www.twitter.com page it opens in new page.
Can selenium RC execute test on twitter.com now & after completion the test can selenium rc control go back to yahoo.com page again.
If there is a one case that on open a yahoo.com page through selenium
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Yes it can, you need to execute test using browsers with elevated security privileges, like *chrome with firefox.