Question 1. [Maximum mark: 6] The relation sin x +cos y =0.5 is graphed alongside for . P lies on the y-axis, and the tangents at P and Q are perpendicular. The coordinates of Q is __________.

Question 2. [Maximum mark: 6] Jack and John have decided to play a game. One roll of a die is considered as one round of the game. On each round, John agrees to pay Jack $4 if 1 or 2 is rolled, Jack agrees to pay John $2 if 3, 4, 5 or 6 is rolled, and who is paid wins the round. In the end, who earns money wins the game. Now Jack and John roll a die 12 times. Let A denote the number of rounds Jack wins. Find the expected value of A, E[A]= __________.

Question 1. [Maximum mark: 6]
The relation sin x +cos y =0.5 is graphed alongside for . P lies on the y-axis, and the tangents at P and Q are perpendicular. The coordinates of Q is __________.

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