Question

The mid point of a line segment is joining A(2a,4) B(-2,-3b) is ( b, 2a+1) find the value of a and b

Answer 1

Answer:

The value of a and b are:

a= 2

b= 2

Answer 2

mid point formula:

x=(x1+x2)/2 , y=(y1+y2)/2

so, b=(2a-2)/2 ,  2a+1=(4-3b)/2

= 2b=2a-2 ,  4a+2=4-3b

=  b=a-1  ,  4a+3b=2

so the two equations are:

b=a-1 .....(1)

4a+3b=2.....(2)

substitute value of b from(1) in (2)

4a+3a-3=2

7a=5

so, a=5/7

so, substitute a in equation 1

b=5/7-1

b=-2/7