Question

the equation of the circle passing through (3,0) and (0,4) and having the minimum radius is​

Answer 1

Answer:

r = 2.5 units

Step-by-step explanation:

Midpoint M of segment AB is

$M(\frac{x_{1} +x_{2}}{2},\frac{y_{1} +y_{2} }{2})$ = M(3/2, 2)

Equation of a circle is (x - h)² + (y - k)² = r²

h = 1.5 and k = 2

r = √[(3 - 1.5)² + (0 - 2)²] = √6.25 = 2.5 units