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If (1-p)(1+3x+9x^2+27 x^3+81 x^4+243 x^5...

If `(1-p)(1+3x+9x^2+27 x^3+81 x^4+243 x^5)=1-p^6,p!=1` , then the value of `p/x` is
a. `1/3` b. `3` c. `1/2` d. `2`

A

`1/3`

B

3

C

`1/2`

D

2

Text Solution

Verified by Experts

The correct Answer is:
B
`(1-p)(1+3x+9x^(2)+27x^(3)+81x^(4)+243x^(5))=1-p^(6)`
or `1+3x+9x^(2)+27x^(3)+81x^(4)+243x^(5)=(1-p^(6))/(1-p)` ltbr gtor `1+3x+9x^(2)+27x^(3)+81x^(4)+243x^(5)`
`=1+p+p^(2)+p^(3)+p^(4)+p^(5)`
Comparing, we get p=3x or p/x=3
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