Find the point on x-axis which …
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Ram Kushwah 6 years, 10 months ago
on x axis y= 0
let the coordinates are O (x,0),A(2,5),B=(-2,9)
{tex}\begin{array}{l}\mathrm{OA}=\mathrm{OB}\\\mathrm{OA}^2=\mathrm{OB}^2\\(\mathrm x-2)^2+(0-5)^2=(\mathrm x+2)^2+(0-9)^2\\\mathrm x^2-4\mathrm x+4+25=\mathrm x^2+4\mathrm x+4+81\\-8\mathrm x=81-25=56\\\mathrm x=-7\\\mathrm{hence}\;\mathrm{the}\;\mathrm{point}\;\mathrm O\;(-7,0)\end{array}{/tex}
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