Question

2. The co-ordinates of the mid-point of the line segment joining the points
(1 - a, - 2a) and (2a - 2, a + 1) are
(a) (a - 1,1 - a)
(b) (2a – 1,1 – 2a)
(c) (a +3, - 3a + 1)
(d) (a + 1, 2a + 1)​

Answer 1

Step-by-step explanation:

Midpoint of two points =(2x1+x2,2y1+y2)

Given, midpoint of (2a,4) and (−2,2b)=(1,2a+1)

=>(22a−2,24+2b)=(1,2a+1)

=>22a−2=1;24+2b=2a+1

=>2a−2=2

=>a=2

And, 24+2b=2a+1

=>24+2b=2(2)+1=5

=>4+2b=10

=>2b=6

=>b=3