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P slides along x + y = 4 and O is the origin. The midpoint of OP traces

Ax + y = 4
Bx + y = 8
Cx + y = 2
Dx - y = 2
Answer & Solution
Correct answer: C. x + y = 2
With P = (2x, 2y) on x + y = 4, we get 2x + 2y = 4, so x + y = 2.
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