Question

The midpoint of (2, 3) and (4, 5) lies on which of the following curves?

• A. $x+y=5$
• B. $x^2+y^2=25$
• C. $xy=15$
• D. $Allofthese$

Answer 1

The correct option is B $x^2+y^2=25$

The midpoint of (2, 3) and (4, 5) is $(\frac{2+4}{2},\frac{3+5}{2})=(3,4)$
Now check for each of the equation given in the options
$x+y=3+4=7\ne 5$
$x^2+y^2=3^2+4^2=25$
$xy=3\times 4=12\ne 15$
$x-y=3-4=-1\ne 5$