Question

If ap=b,bq=c and cr=a,prove that pqr=1.

Answer 1

Step-by-step explanation:

Given:

⇒ ap = b       ----Equation (1)

⇒ bq = c       ----Equation (2)

⇒ cr = a       ----Equation (3)

Now, putting the value of a in equation 1 from 3 we get:

⇒ (cr) p = b

⇒ (c) rp = b       ----Equation (4)

Now, put the value of b from equation (4) in (2) we will get:

⇒ bpqr = b

⇒ bpqr = b1

? base are same

∴ pqr = 1