Question

For the given A(2,4) and B(−3,K) if AB=√26.Then find value of k​

Answer 1

Answer:

A(X1,Y1)=A(2,4) AND B(X2,Y2)=B(-3,K)

FORMULA:sqrt((X2-X1)^2+(Y2-Y1)^2)

GIVEN AB=sqrt(26)

sqrt(((-3)-2)^2+(K-4)^2)=sqrt(26)

25+(K-4)^2=26

(K-4)^2=26-25

(K-4)^2=1

K-4=+or-1

K=4+1=5 OR K=4-1=3

THUS K=3,5