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in Coordinate Geometry by (49.3k points)
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If A (x, y) is equidistant from P (–3, 2) and Q (2,–3), then 

(a) 2x = y 

(b) x = – y 

(c) x = 2y 

(d) x = y

1 Answer

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by (46.3k points)
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Best answer

(d) x = y

Given, AP = AQ 

⇒ AP2 = AQ2 

⇒ (x + 3)2 + (y – 2)2 = (x – 2)2 + (y + 3)2 

⇒ x2 + 6x + 9 + y2 = x2 – 4x + 4 + y2 + 6y + 9 

⇒ 10x = 10y ⇒ x = y

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