The locus of a point which is equidistant from two points (−4,2) and (6,6) is
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Step-by-step explanation:
Let the point be (h,k).
Given:
Distance of point from A=Distance of point from B
⟹
(h+3)
2
+(k−2)
2
=
h
2
+(k−4)
2
⟹(h+3)
2
+(k−2)
2
=h
2
+(k−4)
2
⟹h
2
+6h+9+k
2
−4k+4=h
2
+k
2
−8k+16
⟹6h−4k+13=−8k+16
⟹6h+4k=3
Replacing h with x and k with y:
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