The abscissa of a point A is equal to its ordinate, and its distance from the point B(1, 3)
is 10 units, What are the coordinates of A?
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we know that x-coordinate is also called as abscissa and y-coordinate is also called as ordinate, so abscissa = ordinate then x-coordinate = y-coordinate
let the point be (x,x) and distance between (x,x) and (1,3) is 10
then by applying distance formula:
(x-1)^2 + (x-3)^2 = 100
solving we get a quadratic equation x^2 - 4x - 45 = 0
solving we get x = -5 and x = 9
so the point A can be (-5 , -5) or (9 ,9)
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