Question

If a=bc, b= ca and c=ab
prove that abc=1​

Answer 1

Answer:

Step-by-step explanation:

a=bc.....(i)

b=ca.....(ii)

c=ab.....(iii)

from i

b= a/c

Equate it to (ii)

a/c = ca

a=c²a....1=c²......c=1

From i

c=a/b

Equate it to (iii)

a/b = ab

a=ab²....1=b²....1=b

a=bc

a=1×1=1

abc= 1×1×1= 1