Question

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?

Answer 1

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)

Answer 2

$\huge\bf{Answer:-}$

Refer the attachment.