Bridge Quiz 35-1
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West
A Q 5 3
♥ A 9 8
♦ 6 3
♣ K 9 5 2
  East
K 9 7 2
♥ K Q 10 4
♦ 8 2
♣ 8 6 3

W N E S
      1♦
DBL 2♦ DBL -
2♠ - Pass -

Partner's Take-out Double asks you to bid your 4-card major, but you have both.
In such case (after your RHO made a bid other than "Pass") you can make a Responsive Double, showing length in both major suits.
Partner can then chose himself which suit he prefers.
In this case it is ♠. With 8 losers in your hand (plus Partner's likely 7 losers) you (East) should pass.

Here is another example.

A Responsive Double can only be made by the "Advancer" : the Partner of the Overcaller or Take-out Doubler.