If R(5, 6) is the midpoint of the line segment AB joining the points A(6, 5) and B(4, y) then y equals
Question:
If R(5, 6) is the midpoint of the line segment AB joining the points A(6, 5) and B(4, y) then y equals
(a) 5
(b) 7
(c) 12
(d) 6
Solution:
Since R(5, 6) is the midpoint of the line segment AB joining the points A(6, 5) and B(4, y), therefore
$\frac{5+y}{2}=6$
$\Rightarrow 5+y=12$
$\Rightarrow y=12-5=7$
Hence, the correct option is (b).