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write an equation which must be true if the line from p(x,y) to a(25,0) is perpendicular to the line from P(x,y) to the center of the circle x^2+y^2=400

  • Math -

    I will make the assumption that P is on the circle
    then if the centre is the origin , called O
    then slope PO = -1/slope PA

    y/x = -1/(y/(x-25) )
    y/x = (25-x)/y

    y^2 = 25x - x^2
    but y^2 = 400 - x^2

    400-x^2 = 25x - x^2
    25x = 400
    x = 16

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