Home
Class 12
MATHS
If m and n are the smallest positive int...

If m and n are the smallest positive integers satisfying the relations `(2CiSpi/6)^(m)=(4CiSpi/4)^(n)`, where `i=sqrt(-1)`, (m+n) equals to

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If m and n are the smallest positive integers satisfying the relation (2CiS pi/6)^m=(4CiSpi/4)^n , where i = sqrt(-1), (m+ n) equals to

(-i)^(4n+3) , where n Is a positive integer.

What is the smallest positive integer n for which (1+i)^(2n)=(1-i)^(2n)?

What is the smallest positive integer n for which (1+i)^(2n)=(1-i)^(2n) ?

Find the smallest positive integer n, for which ((1+i)/(1-i))^(n)=1

If m and p are positive integer and (2sqrt(2))^(m)=32^(n) , what is the value of (p)/(m) ?

Find the smallest positive integer value of n for which ((1+i)^n)/((1-i)^(n-2)) is a real number.

Find the value of 1+i^(2)+i^(4)+i^(6)+...+i^(2n), where i=sqrt(-1) and n in N.

If m and n are positive integers and (2^(18))(5^m) = (20^n) , what is the value of m?

If n is a positive integer satisfying the equation 2+(6*2^(2)-4*2)+(6*3^(2)-4*3)+"......."+(6*n^(2)-4*n)=140 then the value of n is

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. There are 4 urns. The first urn contains 1 white and 1 black ball, the...

    Text Solution

    |

  2. y = sqrt(3)x +lambda is drawn through focus S of the parabola y^(2)= 8...

    Text Solution

    |

  3. If m and n are the smallest positive integers satisfying the relations...

    Text Solution

    |

  4. If the line a x+b y+c=0 is a normal to the curve x y=1, then a >0,b >...

    Text Solution

    |

  5. The n ^(th) terms of the series 1 + (4)/(5) + (7)/(5 ^(2)) + (10)/(5 ^...

    Text Solution

    |

  6. A five digits number of the form xyzyx is choosen, probability that x<...

    Text Solution

    |

  7. ((lim)(xvecoo)int0x(tan^(-1)t)^2dt)/(sqrt(x^2+1))h a st h ev a l u e ...

    Text Solution

    |

  8. The number of zeroes at end of lfloor(70) is equal to

    Text Solution

    |

  9. If all the letters of the word IIT-JEE are written at random in a row,...

    Text Solution

    |

  10. The mean deviation about median of variates 13, 14, 15,...., 99, 100 i...

    Text Solution

    |

  11. If a+b+c=0 and omega,omega^2 are imaginary cube roots of unity, then (...

    Text Solution

    |

  12. Comprehension (Q.6 to 8) A line is drawn through the point P(-1,2) mee...

    Text Solution

    |

  13. If a conic passing through origin has (3,3),(-4,4) as its foci, then a...

    Text Solution

    |

  14. If [.] is the greatest integer function and f(x)=[tan^2x], then (a) ("...

    Text Solution

    |

  15. If (1+x+x^2++x^p)^n=a0+a1x+a2x^2++a(n p)x^(n p), then find the value o...

    Text Solution

    |

  16. sqrt(-1-sqrt(-1-sqrt(-1oo))) is equal to (where omega is the imaginary...

    Text Solution

    |

  17. Evaluate: ("lim")(nvec0)8/(x^8){1-cos(x^2)/2-cos(x^2)/4+cos(x^2)/2cos(...

    Text Solution

    |

  18. If (1+x)^(15)=C0+C1x+C2x^2++C(15)x^(15), then find the su of C1+2C3+3C...

    Text Solution

    |

  19. G i v e nint0^(pi/2)(dx)/(1+sinx+cosx)=log2. Then the value of integr...

    Text Solution

    |

  20. If y=y(x) and (2+sinx)/(y+1)((dy)/(dx))=-cosx ,y(0)=1, then y(pi/2)=

    Text Solution

    |