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A ladder of length 6 slides with its ends on the axes. Its midpoint traces

Ax² + y² = 36
Bx² + y² = 6
Cx + y = 6
Dx² + y² = 9
Answer & Solution
Correct answer: D. x² + y² = 9
Ends (2x, 0) and (0, 2y) are 6 apart, so 4x² + 4y² = 36 and x² + y² = 9.
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