Question

Q3. If a=b c, b= c a and c = a b then prove that abc=1.

Q4. If a= 5x, b= 5y and ay bx = 25, then prove that xy = 1

Answer 1

Explanation:

Question 3 :

We have ,

• a = bc . . . . . (i)
• b = ac . . . . . (ii)
• c = ab . . . . . (iii)

Multiplying all three equations ,

=> a × b × c = bc * ac * ab

=> abc = a²b²c²

=> abc/a²b²c² = 1

=> 1/abc = 1

=> abc = 1

• Hence Proved !

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