Question

find the value of a when the distance between the points (3 ,a)and( 4 ,1 )is root 10​

Answer 1

Answer:

let the point be A and B,

AB=√(4-1)^2+(1-a) ^2=√10

= √(3)^2+a^2-1^2=√10

= 9+(a-1)^2=10

=(a-1)^2=1

=a^2-a+1=0

=a(a-1)-1(a-1)

a=1