A(4, 3) and B(2, 5) are two points. If P is a variable point on the same side as that of the origin with respect to the line AB and is at most at a distance of 5 units from the midpoint of AB, then the locus of P is:

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Mathematics · Circles

Verified Solution4 OptionsUpdated: October 2026👁️1 View

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x2 + y2 - 6x - 8y ≤ 0, x + y - 7 < 0

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Answer 1

x2 + y2 - 6x + 8y ≥ 0, x + y - 7 < 0

Answer 2

x2 + y2 + 6x + 8y - 25 = 0, x + y - 7 < 0

Answer 3

x2 + y2 - 6x - 8y ≤ 0, x + y - 7 < 0

Answer 4

x2 + y2 - 6x - 8y = 0

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