Home
Class 11
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^6,p!=1` , then the value of `p/x` is
a. `1/3` b. `3` c. `1/2` d. `2`

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    CENGAGE PUBLICATION|Exercise All Questions|9 Videos

  • STRAIGHT LINES

    CENGAGE PUBLICATION|Exercise All Questions|486 Videos

Similar Questions

Explore conceptually related problems

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

If x=2+2^(2//3)+2^(1//3) , then the value of x^3-6x^2+6x is (a) 3 b. 2 c. 1 d. -2

If cos^(-1)((6x)/(1+9x^2))=-pi/2+2tan^(-1)3x , then find the value of x

If x= 3p and y=(2p)/5+1 , then find the value of p for which x = 5y.

If (x^(3))/((2x-1) (x+2) (x-3))=A+ (B)/(2x-1) +(C )/(x+2) + (D)/(x-3), then the value of A is-

If underset(xrarr0)"lim"((1+x)^(8)-1)/((x+1)^(2)-1)=p^(2) , then the value of P will be -

If the roots of the quadratic equation (4p-p^2-5)x^2-(2p-1)x+3p=0 lie on either side of unit, then the number of integer values of p is a. 1 b. 2 c. 3 d. 4

If sum of an infinite G.P. : p ,1,1//p ,1//p^2 , ........ is 9//2 then value of p is a. 1 b. 3/2 c. 3 d. 9/2

CENGAGE PUBLICATION-SEQUENCES AND SERIES-All Questions
  1. If the pth, qth, rth, and sth terms of an A.P. are in G.P., then p-q ,...

    Text Solution

    |

  2. A B C is a right-angled triangle in which /B=90^0 and B C=adot If n po...

    Text Solution

    |

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

    Text Solution

    |

  4. ABCD is a square of length a, a in N, a > 1. Let L1, L2 , L3... be poi...

    Text Solution

    |

  5. Let Tr a n dSr be the rth term and sum up to rth term of a series, res...

    Text Solution

    |

  6. If (1+3+5++p)+(1+3+5++q)=(1+3+5++r) where each set of parentheses cont...

    Text Solution

    |

  7. If a x^3+b x^2+c x+d is divisible by a x^2+c ,t h e na ,b ,c ,d are in...

    Text Solution

    |

  8. If the lines 3x + by + 5 = 0 and ax – 5y + 7 = 0 are perpendicular to ...

    Text Solution

    |

  9. In a geometric series, the first term is a and common ratio is rdot If...

    Text Solution

    |

  10. If x ,y ,a n dz are distinct prime numbers, then (a).x , y , a n dz ma...

    Text Solution

    |

  11. If x ,y , and z are in G.P. and x+3,y+3, and z+3 are in H.P., then a.y...

    Text Solution

    |

  12. If A.M., G.M., and H.M. of the first and last terms of the series of 1...

    Text Solution

    |

  13. The sum 1+3+7+15+31+...to100 terms is a. 2^(100)-102 b. 2^(99)-101 c...

    Text Solution

    |

  14. The sum of first 15 terms of an A.P. is 750 and its first term is 15. ...

    Text Solution

    |

  15. The coefficient of x^(49) in the product (x-1)(x-3)(x-99)i s a. -99^...

    Text Solution

    |

  16. Let S=4/(19)+(44)/(19^2)+(444)/(19^3)+ u ptooo . Then s is equal to a....

    Text Solution

    |

  17. If Hn=1+1/2+...+1/ndot , then the value of Sn=1+3/2+5/3+...+(99)/(50) ...

    Text Solution

    |

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

    Text Solution

    |

  19. The sum o f series 1+4/5+7/(5^2)+(10)/(5^3)+oo is a. 7//16 b. 5//16 ...

    Text Solution

    |

  20. The sum 20 terms of a series whose rth term is given by Tr=(-1)^r((r^2...

    Text Solution

    |