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find the locus of a point whose sum of distance from a point A(-2,0)   B(2,0) is 4/6
 

Asked by mridulsharma266 7th November 2017, 9:20 AM
Answered by Expert
Answer:
begin mathsize 16px style Let space straight P left parenthesis straight x comma straight y right parenthesis space be space the space point space and space given space that space straight A equals left parenthesis negative 2 comma 0 right parenthesis space and space straight B left parenthesis 2 comma 0 right parenthesis
According space to space the space given space question
PA plus PB equals 4 over 6
square root of left parenthesis straight x plus 2 right parenthesis squared plus straight y squared end root space plus space square root of left parenthesis straight x minus 2 right parenthesis squared plus straight y squared end root space equals space 4 over 6
After space solving space this space equation space you space will space get space the space equation space of space straight a space locus space of space straight a space point. end stylebegin mathsize 16px style Let space straight P left parenthesis straight x comma straight y right parenthesis space be space the space point space and space given space that space straight A equals left parenthesis negative 2 comma 0 right parenthesis space and space straight B left parenthesis 2 comma 0 right parenthesis
According space to space the space given space question
PA plus PB equals 4 over 6
square root of left parenthesis straight x plus 2 right parenthesis squared plus straight y squared end root space plus space square root of left parenthesis straight x minus 2 right parenthesis squared plus straight y squared end root space equals space 4 over 6
After space solving space this space equation space you space will space get space the space equation space of space straight a space locus space of space straight a space point. end style
Answered by Expert 11th December 2017, 2:16 PM
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