Home
Class 12
MATHS
Suppose a,b,c in R - {0} and a+b+c =0 Le...

Suppose a,b,c `in R - {0}` and a+b+c =0 Let `alpha =(1)/(5) (a^(5)+b^(5)+c^(5)) , beta = (1)/(3) (a^(3)+b^(3)+c^(3))` and `gamma = (1)/(2) (a^(2)+b^(2)+c^(2))`. Suppose `A = [(alpha, beta),(gamma ,1)]` and a = det (A)
If `|a + ib| = 4.1 ` then `b^(2)` = ______ .

Text Solution

Verified by Experts

The correct Answer is:
16.81
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    MCGROW HILL PUBLICATION|Exercise EXERCISE (Concept - based) (Single Correct Answer Type Questions)|10 Videos

  • MATRICES

    MCGROW HILL PUBLICATION|Exercise EXERCISE ( LEVEL -1) (Single Correct Answer Type Questions)|43 Videos

  • MATRICES

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES ( LEVEL 2 ( Straight Objective Type Questions ) )|11 Videos

  • MATHEMATICAL REASONING

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B. ARCHITECTURE ENTRANCE EXAMINATION PAPERS|11 Videos

  • PARABOLA

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTRE ENTRANCE EXAMINATION PAPERS|9 Videos

Similar Questions

Explore conceptually related problems

If (4b^(2)+(1)/(b^(2)))=2, then (8b^(3)+(1)/(b^(3)))=? (a) 0 (b) 1 (c) 2 (d) 5

If (x^(3)-x^(2)+5x-1=0) has roots alpha,beta,gamma and x^(3)+ax^(2)+bx+c=0 has roots (alpha beta,beta gamma,gamma alpha) then (a+b+c) is

Ifa= cis alpha,b=cis beta,c= cis gamma then (a^(3)b^(3))/(c^(2))=

If A=[alpha beta gamma-alpha] is such that A^(2)=I, then 1+alpha^(2)+beta gamma=0( b) 1-alpha^(2)+beta gamma=0 (c) 1-alpha^(2)-beta gamma=0 (d) 1+alpha^(2)-beta gamma=0

Given log_(3)a=p=log_(b)c and log_(b)9=(2)/(p^(2)) and log_(9)((a^(4)b^(3))/(c))=alpha p^(3)+beta p^(2)+gamma p+delta(AA p=R-{0} then (alpha+beta+gamma+delta) equals to :

Let Delta_(t)=det[[a_(1),b_(1),c_(1)a_(2),b_(2),c_(2)a_(3),b_(3),c_(3)]] and Delta_(2)=det[[alpha_(1),beta_(1),gamma_(1)alpha_(2),beta_(2),gamma_(2)alpha_(3),beta_(3),gamma_(3)]] how many determinants?

For alpha, beta, gamma in R , let A=[(alpha^(2),6,8),(3,beta^(2),9),(4,5,gamma^(2))] and B=[(2alpha,3,5),(2,2beta,6),(1,4,2gamma-3)]

If alpha,beta be the roots of ax^(2)+bx+c=0,c!=0 , alpha+beta=(-b)/(a) and alpha beta=(c)/(a) , then alpha^(3)+beta^(3)=

If alpha,beta are the roots of ax^(2)+bx+c=0 and c!=0 .then the value of (1)/((a alpha+b)^(2))+(1)/((a beta+b)^(2)) in terms of a,b,c is

MCGROW HILL PUBLICATION-MATRICES-SOLVED EXAMPLES ( LEVEL 2 (Numercial Answer Type Questions))
  1. Let A = [(7,5),(4,8)] ,B= [(2,3),(3,5)] and C= [(5,-3),(-3,2)] then su...

    Text Solution

    |

  2. If x =alpha, y=beta, z = gamma is a solution of the system of equation...

    Text Solution

    |

  3. Suppose p,q,r in R and and pqr = 2.5 . Let A = [(p,q,r),(r,p,q),(q,r,...

    Text Solution

    |

  4. Suppose A and B are two 3xx3 non singular matrices such that tr (AB) =...

    Text Solution

    |

  5. Suppose k is a root of x^(2)-6.1x+5.1=0 such that A=[(1,2,1),(3,2,3),(...

    Text Solution

    |

  6. Let A = ((2.1,2.7,1.3),(3.1,3.2,1.7),(2.1,2.5,2.9)). The sum of values...

    Text Solution

    |

  7. If the system of linear equations ax+(a+1)y+(a-1)z=0 (a-1)x+(a+2)y...

    Text Solution

    |

  8. Let A = [(3,-1),(0,2)] . Suppose A satisfies the equation x^(2)+ax+b=0...

    Text Solution

    |

  9. Let A = [(5.1,-3.1,0),(-3.1,5.1,0),(0,0,2.2)] X be a non zero 3xx1 mat...

    Text Solution

    |

  10. A solution set of the equations x+2y+z=1, x+3y+4z=k, x+5y+10z=k^(2) is

    Text Solution

    |

  11. Let alpha=(2kpi)/(2025),beta=(2mpi)/(2026)"and " gamma=(2kpi)/(2027) ...

    Text Solution

    |

  12. Let A = ((1,2,3),(0,0,0),(3,2,1)) and A^(n)=((a(n),b(n),c(n)),(0,0,0),...

    Text Solution

    |

  13. Let A and B be two 3xx3 real matrices such that AB ne BA AB-B^(2)...

    Text Solution

    |

  14. Let A and B be two 3xx3 matrices with integer entries . If 6AB +2A+3B=...

    Text Solution

    |

  15. Let A = ((1,1,3),(5,2,6),(-2,-1,-3)) and let n be the smallest value o...

    Text Solution

    |

  16. Suppose a,b,c in R - {0} and a+b+c =0 Let alpha =(1)/(5) (a^(5)+b^(5)+...

    Text Solution

    |

  17. Let m = the number of values of a for which the system of equations ...

    Text Solution

    |

  18. If A = [(2,52,152),(4 , 106,358),(6,162,620)] then det (adj ((1)/(2) A...

    Text Solution

    |