Question

if (a, b) is the mid point of the line
segment joining the points A (10,-6) and
B (k, 4) and a-2b=18, find the value
of k and the distance AB​

Answer 1

Answer:

k=22,and AB=√244

Step-by-step explanation:

formula for coordinate of mid point : x1+x2/2,y1+y2/2

now, b= –6+4/2=–2/2= –1,

given a–2b=18. (put the value of b)

or, a–2×(–1)=18

or, a= 18–2= 16.

value of k,

x1+x2/2=a

or, 10+k/2=16

or, 10+k=32,

k= 32–10= 22

Distance of AB=

√(22–10)^2+ (4+6)^2

=√(12)^2+ (10)^2

=√144+100

=√244