find the equation of locus of a point,which is at a distance 5 from (4,-3) XOY plane.
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Answer:
Let the point be P(h,k) , the fixed point be Q(−2,3) and PQ=5
PQ=
(h+2)
2
+(k−3)
2
(PQ)
2
=(h+2)
2
+(k−3)
2
=>25=(h+2)
2
+(k−3)
2
For locus replace h
x,k
y=>(x+2)
2
+(y−3)
2
=25 is a circle with radius 5 and centre (−2,3)
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