Question

If (a, b) is the midpoint of the line segment joining the points A(10,-6) and B(k, 4) and a-2b=18 the valu of k is

Answer 1

Answer:

a-2b=18.let it be first equation. using mid point formula, =(x1+x2/2,y1+y2/2).(a,b)=(10+k/2,-6+4/2).(a, b) =(10+k/2,-2/2).equating the points, a=10+k/2.b=-2/2.b=-1.substitute in 1st equation. a-2(-1)=18.a+2=18.a=18-2.a=16.a=10+k/2.16=10+k/2.32=10+k.k=32-10.k=22.