Question

The point whose abscissa is equal to its ordinate and which is equidistant from the points (1,0) and (0,3) is.

• A. (1, 1)
• B. (2, 2)
• C. (3, 3)
• D. (4, 4)

Answer 1

Answer: (B)

(2, 2)

Answer 2

Let the point be (x, x), so according to the condition $( x - 1 ) ^ { 2 } + ( x - 0 ) ^ { 2 } = ( x - 0 ) ^ { 2 } + ( x - 3 ) ^ { 2 }$

$\Rightarrow - 2 x + 1 = - 6 x + 9 \Rightarrow x = 2$.

Hence the point is (2, 2).