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dinny 發問於 科學及數學數學 · 7 年前

F.5 maths

A(-1,3) and B(1,-1) are two fixed points on the rectangular coordinate plane. If moving point P(x,y) is the centre of the circle passing through points A and B, find the equation of the locus of P.

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  • 麻辣
    Lv 7
    7 年前
    最愛解答

    Both A(-1,3) and B(1,-1) are two fixed points on the rectangular coordinate plane. If a moving point P(x,y) is the centre of circles passing through both A and B. Find the equation of the locus of P.PA^2=PB^2(x+1)^2+(y-3)^2=(x-1)^2+(y+1)^22x+1-6y+9=-2x+1+2y+10=4x-8y+8=x-2y+2.........ans=Line

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