Home
Class 11
MATHS
If x=9^(1/3) 9^(1/9) 9^(1/27) ...->∞ , ...

If `x=9^(1/3) 9^(1/9) 9^(1/27) ...->`∞ , `y= 4^(1/3) 4^(-1/9) 4^(1/27) ....->`∞ and `z= sum_(r=1)^oo (1+i)^-r` then , the argument of the complex number `w = x+yz` is

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    CENGAGE ENGLISH|Exercise All Questions|365 Videos

  • CONIC SECTIONS

    CENGAGE ENGLISH|Exercise All Questions|1344 Videos

Similar Questions

Explore conceptually related problems

If x=9^(1/3) 9^(1/9) 9^(1/27) ......ad inf y= 4^(1/3) 4^(-1/9) 4^(1/27) ...... ad inf and z= sum_(r=1)^oo (1+i)^-r then , the argument of the complex number w = x+yz is

If y= x^(1/3).x^(1/9).x^(1/27)...oo then y=?

Find the value of 9^(1/3), 9^(1/9). 9^(1/27)...up to oo.

Find the value of 9^(1/3). 9^(1/9). 9^(1/27)...up to oo.

Show that 9^(1/(4)).9^(1/(8)).9^(1/(16).) . .."to" oo = 3

If 27^(x)=9^(y-1) , then

The value of 9^(1//3)xx9^(1//9)xx9^(1//27)xx…… to oo is

If a=sum_(r=1)^oo 1/r^4 then sum_(r=1)^oo 1/((2r-1)^4)=

(1+3/(1!) +9/(2!) +(27)/(3!) + .....oo) (1+9/(1!) +(81)/(2!)+(729)/(3!)+ .....oo) =

If sum_(i=1)^(9) (x_(i)-5) " and" sum__(i=1)^(9) (x_(i)-5)^(2)=45 , then the standard deviation of the 9 items x_(1),x_(2),..,x_(9) is

CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. Let a ,b and c be any three nonzero complex number. If |z|=1 and' z ' ...

    Text Solution

    |

  2. Find the range of the function f(x)=x^2-2x-4.

    Text Solution

    |

  3. If x=9^(1/3) 9^(1/9) 9^(1/27) ...->∞ , y= 4^(1/3) 4^(-1/9) 4^(1/27) ....

    Text Solution

    |

  4. Find the linear factors of 2x^2-y^2-x+x y+2y-1.

    Text Solution

    |

  5. If a<0,b>0, then sqrt(a)sqrt(b) is equal to (a)-sqrt(|a|b) (b...

    Text Solution

    |

  6. The value(s) of m for which the expression 2x^2+mxy+3y^2-5y-2 can be ...

    Text Solution

    |

  7. The number of solutions of z^2+overlinez = 0 is

    Text Solution

    |

  8. If a1x^3 + b1x² + c1x + d1 = 0 and a2x^3 + b2x^2+ c2x + d2 = 0 have a ...

    Text Solution

    |

  9. Consider the equation 10 z^2-3i z-k=0,w h e r ez is a following comple...

    Text Solution

    |

  10. If x-c is a factor of order m of the polynomial f(x) of degree n (1 < ...

    Text Solution

    |

  11. If z1a n dz2 are two complex numbers such that |z1|=|z2|a n d arg(z1)+...

    Text Solution

    |

  12. Solve the equation x^3-13 x^2+15 x+189=0 if one root exceeds the other...

    Text Solution

    |

  13. Let z1, z2, z3 be the three nonzero complex numbers such that z2!=1,a=...

    Text Solution

    |

  14. If tantheta and sectheta are the roots of a x^2+b x+c=0, then prove th...

    Text Solution

    |

  15. Given that the complex numbers which satisfy the equation | z bar z ^...

    Text Solution

    |

  16. If the roots of the equation x^2-b x+c=0 are two consecutive integers,...

    Text Solution

    |

  17. If the difference between the roots of the equation x^2+""a x""+""1...

    Text Solution

    |

  18. For what real values of a do the roots of the equation x^2-2x-(a^2-1)=...

    Text Solution

    |

  19. If P and Q are represented by the complex numbers z1 and z2 such that ...

    Text Solution

    |

  20. Find the value of a for which the equation a sin(x+pi/4)=sin2x+9...

    Text Solution

    |