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If the distances of P(x,y) from …

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If the distances of P(x,y) from A(5,1) and B(-1,5) are equal, then prove that 3x=2y.

    • Posted by Aayush Kumar Chandrawanshi 5 years, 11 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Yogita Ingle 5 years, 11 months ago

    Considering AZ = ZB, that means {tex}A Z^{2}=Z B^{2}{/tex}

    {tex}(x-5)^{2}+(y-1)^{2}=(x+1)^{2}+(y-5)^{2}{/tex}

    Squaring both the sides we get the factors and then simplifying them we get:

    {tex}x^{2}+25-10 x+y^{2}+1-2 y=x^{2}+1+2 x+y^{2}+25-10 y{/tex}

    12x = 8y

    3x = 2y  

    Hence proved

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