Maths / Coordinate Geometry / Mid Point Formula

QUESTION
 

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

OPTIONS
A. 

1

B. 

8

C. 

-4

D. 

4

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+4}{2}

large x=frac{6}{2}: and: y=frac{a+4}{2}

large The : coordinates : are (3,frac{a+4}{2})

large frac{a+4}{2}=4 Rightarrow a+4=8Rightarrow a=4

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