Home
Class 12
MATHS
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^6p!=1` , then the value of `p/xi s` `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
Promotional Banner

Topper's Solved these Questions

  • PROGRESSION AND SERIES

    CENGAGE|Exercise EXERCIESE ( MULTIPLE CORRECT ANSWER TYPE )|1 Videos

  • PROGRESSION AND SERIES

    CENGAGE|Exercise Exercise (Multiple & Comprehension)|65 Videos

  • PROGRESSION AND SERIES

    CENGAGE|Exercise Exercise 5.9|9 Videos

  • PROBABILITY II

    CENGAGE|Exercise NUMARICAL VALUE TYPE|2 Videos

  • PROPERTIES AND SOLUTIONS OF TRIANGLE

    CENGAGE|Exercise JEE Advanced Previous Year|11 Videos

Similar Questions

Explore conceptually related problems

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

If (3x+(1)/(2))(3x-(1)/(2))=9x^2-p then the value of p is

If p(x)=2x^(2)-3x+4 , then value of p(-1).

If p(4)=3x^(2)+2x-2, then the value of p(3)-p(-1)+p((1)/(2)) is

If p(x)=x^(3)-x^(2)+x+1, then what is the value of (p(1)+p(-1))/(2)

If 16x^(2)-p=(4x-(1)/(3))(4x+(1)/(3)) then find the value of p

If p^(3)-q^(3)=(p-q)((p-q)^(2)-xpq), then find the value of x is (a) 1 (b) -3(c)3(d)-1

if p(x)=3x^(2)+2x-2 then find the value of p(3)-p(-1)+p((1)/(2))

A random variable has the following probability distribution: X=x_i : 0 1 2 3 4 5 6 7 P(X=x_i):0 2p 2 p 3p p^2 2p^2 7p^2 2p The value of p is a. 1/10 b. -1 c. -1/10 d. 1/5

CENGAGE-PROGRESSION AND SERIES-Exercise (Single)
  1. If a ,ba n dc are in A.P., and pa n dp ' are respectively, A.M. and G....

    Text Solution

    |

  2. If (1+x)(1+x^2)(1+x^4)….(1+x^(128))=Sigma(r=0)^(n) x^r, then n is equa...

    Text Solution

    |

  3. If (1-p)(1+3x+9x^2+27 x^3+81 x^4+243 x^5)=1-p^6p!=1 , then the value o...

    Text Solution

    |

  4. Consider the ten numbers a r ,a r^2, a r^3, ,a r^(10)dot If their sum...

    Text Solution

    |

  5. If x ,y ,a n dz are distinct prime numbers, then x , y , a n dz may be...

    Text Solution

    |

  6. Let a=111 1(55d igi t s),b=1+10+1=^2++10^4,c=1+10^5+10^(10)+10^(15)++1...

    Text Solution

    |

  7. Let an be the nth therm of a G.P of positive numbers .Let Sigma(n=1)^(...

    Text Solution

    |

  8. The sum of 20 terms of a series of which every term is 2 times the ter...

    Text Solution

    |

  9. Let a in (0,1) satisfies the equation a^(2008)-2a+1=0v a l u e s(s)toS...

    Text Solution

    |

  10. In a geometric series , the first term is a and common ratio is r. If ...

    Text Solution

    |

  11. Let Ssub(0,pi) denote the set of values of x satisfying the equation 8...

    Text Solution

    |

  12. If ||a| lt 1 "and " |b| lt 1 then the sum of the series 1+(1+a)b+(1+a+...

    Text Solution

    |

  13. The value of 0. 2^(logsqrt(5)1/4+1/8+1/(16)+) is 4 b. log4 c. log2 d....

    Text Solution

    |

  14. If x=9^(1//3)xx9^(1//9)xx 9^(1//27)xx….,y=4^(1//3)xx-4^(1//9)xx 4^(1//...

    Text Solution

    |

  15. The value of x that satisfies the relation x=1 -x+x^2-x^3+x^4-x^5+….oo...

    Text Solution

    |

  16. If S dentes the sum to infinity and Sn the sum of n terms of the serie...

    Text Solution

    |

  17. The first term of an infinite geometric series is 21. The seconds term...

    Text Solution

    |

  18. The sum of an infinite G.P. is 57 and the sum of their cubes is 9457 ,...

    Text Solution

    |

  19. If Sp denotes the sum of the series 1+r^p+r^(2p)+ toooa n dsp the sum ...

    Text Solution

    |

  20. If the sum to infinity of the series 1+2r+3r^2+4r^3+ is 9/4, then valu...

    Text Solution

    |