If (a,b) is the mid point of the segment joining the points A (10,-6) and B (k,4) and a - 2b = 18, Find the value of k and the distance ab.
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mid point of A(10,-6)=(x1,y1) and B(k,4)=(x2,y2)
is (a,b)
1)(10+k)/2=a
10+k=2a---(1)
2)(-6+4)/2=b
-2/2=b
b=-1----(2)
given
a-2b=18
a-2*(-1)=18
a+3=18
a=18-3
a=15
substitute a=15 in (1)
10+k=2a
10+k=2*15
k=30-10
k=20
is (a,b)
1)(10+k)/2=a
10+k=2a---(1)
2)(-6+4)/2=b
-2/2=b
b=-1----(2)
given
a-2b=18
a-2*(-1)=18
a+3=18
a=18-3
a=15
substitute a=15 in (1)
10+k=2a
10+k=2*15
k=30-10
k=20
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