Question

Midpoint of A(11 , 7) and B(5 , 3) is?

options:
1. ( - 8 , 5 )
2. ( 8 , - 5 )
3. ( 8 , 5 )
4. ( - 8 , - 5 )

Answer 1

$\tt We\:know\:that \\ \\ \tt The\: midpoint\:of\:points\:({x}_{1},{y}_{1}) \:and \\ \tt ({x}_{2},{y}_{2})\:is\:given\:by \\ \\ \tt \boxed{\bold{\underline{\green{\tt Midpoint\:formula : (x,y)=(\frac{{x}_{1}+{x}_{2}}{2} , \frac{{y}_{1},{y}_{2}}{2}) }}}} \\ \\ \tt Now\: midpoint\:of\:A(11,7)\:and\:B(5,3) \\ \\ \tt \implies (x,y) = (\frac{11+5}{2},\frac{7+3}{2}) \\ \\ \tt \implies (x,y) = (\frac{16}{2},\frac{10}{2}) \\ \\ \tt \implies (x,y) = (8,5) \\ \\ \tt \boxed{\bold{\underline{\red{\tt Midpoint\:of\:given\:points\:is\:(8,5)}}}}$