find the relation between x and y, such that the point (x,y) is equidistant from points (-1,8) and (3,4)
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∴PA=PB
By using the distance formula
= (x2−x1 )2+(y2 −y1 )2
we have
⇒ (x−3)2+(y−6)2= (x+3) 2+(y−4)2
⇒(x−3)2+(y−6)2=(x+3)2+(y−4)2
⇒x2−6x+9+y 2 −12y+36=x 2+6x+9+y2−8y+16
⇒−6x−6x−12y+8y+36−16=0
⇒−12x−4y+20=0
⇒3x+y−5=0
Hence this is a relation between x and y.
Explanation:
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