Home
Class 12
MATHS
If a= cos((2pi)/7)+isin((2pi)/7) , alpha...

If `a= cos((2pi)/7)+isin((2pi)/7) , alpha= a+a^2+a^4`,and` beta =a^3+a^5+a^6` then `alpha ,beta ` are the roots of the equation

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 alpha+beta=3 and a^(3)+beta^(3) = 7 , then alpha and beta are the roots of the equation

Find the equation whose roots are (alpha)/(beta) and (beta)/(alpha) , where alpha and beta are the roots of the equation x^(2)+2x+3=0 .

If alpha=cos ((2pi)/5)+isin((2pi)/5) , then find the value of alpha+alpha^2+alpha^3+alpha^4

If alpha,beta are roots of the equation 3x^(2)+4x-5=0 , then (alpha)/(beta) and (beta)/(alpha) are roots of the equation

if a=cos(2pi//7)+isin(2pi//7) , then find the quadratic equation whose roots are alpha=a+a^2+a^4 and beta=a^3+a^5+a^6 .

Let -pi/6 beta_1 and alpha_2 >beta_2 , then alpha_1 + beta_2 equals:

If sin^(4) alpha + 4 cos^(4) beta + 2 = 4sqrt(2) sin alpha cos beta, alpha beta in [0, pi] , then cos (alpha + beta) - cos (alpha - beta) is equal to -sqrt(k) . The value of k is _________.

F a=cos(2pi//7)+isin(2pi//7) , then find the quadratic equation whose roots are alpha=a+a^2+a^4a n dbeta=a^3+a^5+a^7 .

If 2 sin 2alpha= | tan beta+ cot beta |alpha,beta, in((pi)/(2),pi) , then the value of alpha+beta is

If alpha != beta but, alpha^(2) = 4alpha - 2 and beta^(2) = 4beta - 2 then the quadratic equation with roots (alpha)/(beta) and (beta)/(alpha) is

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Let P and Q be points of the ellipse 16 x^(2) +25y^(2) = 400 so that P...

    Text Solution

    |

  2. The statement ~ p^^(rvvp) is - (1)equivalent to negation of pvvr (2) ...

    Text Solution

    |

  3. If a= cos((2pi)/7)+isin((2pi)/7) , alpha= a+a^2+a^4,and beta =a^3+a^5+...

    Text Solution

    |

  4. The range of the function f(x)=sqrt(1-x^2)/(1+|x|) is

    Text Solution

    |

  5. How many integeral solutions are there to the system of equations x(1)...

    Text Solution

    |

  6. The sum of all integral values of 'a' for which the equation 2x ^(2) -...

    Text Solution

    |

  7. If a ,b , in {1,2,3,4} and ax^2+b x+1=0 has real roots then a.ageqb ...

    Text Solution

    |

  8. If f(x) = x^11 + sin^3(35x) + 111x, then the value of f^(-1)(sin (pi/5...

    Text Solution

    |

  9. Consider the function f defined by f(x)={[0,x=0 or x is irrational],[...

    Text Solution

    |

  10. What is the coefficient of x^(100) in the expansion of (1+x+x^2+x^3+.....

    Text Solution

    |

  11. If equation f(x)=x^4-a x^3+b x^2-c x+420 have all roots integer and gr...

    Text Solution

    |

  12. A circle with centre 'P' is tangent to negative x and y axis and exter...

    Text Solution

    |

  13. If [.] denotes greatest integer function and x in (0,20), then the num...

    Text Solution

    |

  14. If the A.M. of two positive numbers aa n db(a > b) is twice their geom...

    Text Solution

    |

  15. If both A-1/2Ia n dA+1/2 are orthogonal matices, then A is orthogonal ...

    Text Solution

    |

  16. How many times digit 5 appears in writing natural numbers from 1 to 10...

    Text Solution

    |

  17. If the roots x^5-40 x^4+P x^3+Q x^2+R x+S=0 are n G.P. and the sum of ...

    Text Solution

    |

  18. If for the function f(x)=1/4x^2+b x+10 ;f(12-x)=f(x)AAx in R , then t...

    Text Solution

    |

  19. The value(s) of a, so that following equation (s) have common root(s...

    Text Solution

    |

  20. A road network as shown in the figure connect four cites. In how many ...

    Text Solution

    |