Question

the midpoint of the line joining( 3a,4) and (-2,2b)is (2,2a+2) find a and b​

Answer 1

Answer:

a=2

b=4

Step-by-step explanation:

according to the theorem,

abscissa of the mid point

= sum of the abscissa of the ends/2

therefore,

2={3a+(-2)}/2

=> 3a-2=4

=> 3a=6

=> a=2

also,

ordinate of the mid point

= sum of the ordinates of the end/2

therefore,

2a+2=(4+2b)/2

=> 6×2=4+2b

=> 2b=12-4

=> b=8/2

=> b=4

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