If the distance between the points (0,1) and (8,k) is 10 units then find k
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Step-by-step explanation:
A(0,1) B(8,K)
Distance =10
(10)2=(0-8)2 +(K-1)2
100 =64 +K2 - 2K +1
100=65+K2-2K
100-65 =K2-2K
35=K2-2K
K2-2K-35=0
K2-7K+5K -35=0
K(K-7) +5(K-7)=0
(K+5)and (K-7)=0
K+5=0 and K-7=0
K=-5 and K=7
thus value of K will be 7 or -5
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