Question

(a,b) and (a+2b,2a-b) find the mid point of the line segment joining the points ​

Answer 1

Answer:

If $(x_1,y_1)$ and $(x_2,y_2)$ are two point, then their mid point is :

$( \frac{ x_1 + x_2}{2} \: , \: \frac{y_1 +y_2 }{2} )$

Now,

(a,b) and (a+2b,2a-b) are two point, then their mid point is :

$( \frac{a + a + 2b}{2} \: , \: \frac{b + 2a - b}{2} ) \\ = ( \frac{2a + 2b}{2} \: , \: \frac{2a}{2} ) \\ = (a + b \: , \: a)$

Answer 2

Answer:

Refer to the above attachment to get your answer.