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).

 

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