Question

The mid point of line joining (3a, 4),(-2,2b)is (2,2a+2)find a and b

Answer 1

Using the Mid-point Formula,

2 = -2 - 3a / 2

⇒ 4 = -2 - 3.a

-3.a = 6

∴a= -2

And, 2a + 2 = 2.b - 4/2

Putting Value of 'a'

(2*-2 + 2) *2 = 2.b - 4

-4 = 2.b - 4

⇒ b = 0

∴a= -2

And b= 0

Answer 2

The values of
a=2
b=4.