Maths / Coordinate Geometry / Mid Point Formula

QUESTION
 

(3, 4-a) is the mid-point of the lines segment joining points (2, a) and (4, 2). What is the value of a ? 

OPTIONS
A. 

1

B. 

8

C. 

-4

D. 

2

Right Option : D

EXPLANATION
Explain TypeExplanation Content
Text

For the mid point

large x=frac{x_1+x_2}{2}: and: y=frac{y_1+y_2}{2}

large dpi{120} fn_jvn large x=frac{2+4}{2}: and: y=frac{a+2}{2}

large x=frac{6}{2}: and: y=frac{a+2}{2}

large The : coordinates : are (3,frac{a+2}{2})

large large frac{a+2}{2}=4-a Rightarrow a+2=8-2aRightarrow a+2a=8-2Rightarrow 3a=6Rightarrow a=2

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