Home
Class 12
MATHS
If the roots of the equation sqrt((x)/(1...

If the roots of the equation `sqrt((x)/(1-x))+sqrt((1-x)/(x))=(5)/(2)` are p and `q(q gt q)` and the roots of the equation `(p+q)x^(4)-pqx^(2)+(p)/(q)=0` are `alpha,beta,gamma,delta,` then `(sum alpha)^(2)-sum alpha beta+alpha beta gamma delta=`

A

0

B

`(104)/(25)`

C

`(25)/(4)`

D

`(16)/(5)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TS EAMCET 2017

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|80 Videos
  • TS EAMCET 2018 (7 MAY SHIFT 1)

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|80 Videos

Similar Questions

Explore conceptually related problems

If alpha , beta , gamma are the roots of the equation x^3 +px^2 +qx +r=0 then sum alpha^2 ( beta + gamma)=

IF the roots of the equation x^2-5x +16=0 are alpha , beta and the roots of the equation x^2+px +q=0 and alpha ^2 + beta ^2 , (alpha beta)/2 , then

If alpha, beta, gamma are roots of the equation x^(3) - px^(2) + qx - r = 0 , then sum alpha^(2) beta =

If tan alpha , tan beta are the roots of the equation x^(2) + px+q=0(p ne 0) then

If alpha , beta , gamma are the roots of the equation x^3 -6x^2 +11 x +6=0 then sum alpha^2 beta =

If alpha, beta, gamma are the roots of the equation x^(3) - ax^(2) + bx -c = 0 , then sum alpha^(2) (beta + gamma)=

If alpha , beta , gamma are the roots of the equation x^3 +4x^2 -5x +3=0 then sum (1)/( alpha^2 beta^2)=

If alpha, beta, gamma are roots of the equation x^(3) + px^(2) + qx + r = 0 , then sum (1)/(alpha beta ) =

TS EAMCET PREVIOUS YEAR PAPERS-TS EAMCET 2018 (4 MAY SHIFT 1)-Mathematics
  1. The set of real values of x for which the inequality |x-1|+|x+1|lt 4 ...

    Text Solution

    |

  2. If the roots of the equation x^(2)+x+a=0 exceed a, then

    Text Solution

    |

  3. If the roots of the equation sqrt((x)/(1-x))+sqrt((1-x)/(x))=(5)/(2) a...

    Text Solution

    |

  4. The equation x^(5)-5x^(3)+5x^(2)-1=0 has three equal roots. If alpha,b...

    Text Solution

    |

  5. If all possible numbers are formed by using the digits 1, 2, 3, 5, 7 w...

    Text Solution

    |

  6. If a is the number of all even divisors and b is the number of all odd...

    Text Solution

    |

  7. If the coefficient of x^(5) in the expansion of (ax^(2)+(1)/(bx))^(13)...

    Text Solution

    |

  8. For n in N, in the expansion of (root(4)(x^(-3))+a root(4)(x^(5)))^(n)...

    Text Solution

    |

  9. If (x^(4)+x^(3)+2x^(2)-2x+1)/(x^(3)+x^(2)) =P(x)+(A)/(x)+(B)/(x^(2))...

    Text Solution

    |

  10. If A(n)=sin^(n)alpha+cos^(n)alpha, then A(1)A(4)+A(2)+A(5)=

    Text Solution

    |

  11. When (sin9 theta)/(cos27 theta)+(sin3 theta)/(cos9 theta)+(sin theta)...

    Text Solution

    |

  12. If 0 lt theta lt pi/2, x = sum(n=0)^(oo)cos^(2n) theta, y =sum(n=0)^(o...

    Text Solution

    |

  13. Number of solutions of the equation sinx-sin2x+sin3x=2cos^(2)x-2cosx i...

    Text Solution

    |

  14. 2"Tan"^(-1)(1)/(5)+"Sec"^(-1)(5 sqrt(2))/(7)+"Tan"^(-1)(1)/(8)=

    Text Solution

    |

  15. If cos h x=(sqrt(14))/(3),sin h x = cos theta and -pi lt theta lt -(pi...

    Text Solution

    |

  16. In DeltaABC, if a=5 and tan((A-B)/(2))=(1)/(4)tan((A+B)/(2)), then sqr...

    Text Solution

    |

  17. In a DeltaABC, if A = 2B and the sides opposite to the angles A, B, C ...

    Text Solution

    |

  18. In DeltaABC, right angled at A, the circumradius, inradius and radius ...

    Text Solution

    |

  19. Let 3hati+hatj-hatk be the position vector of a point B. Let A be a po...

    Text Solution

    |

  20. The vector that is parallel to the vector 2hati-2hatj-4hatk and coplan...

    Text Solution

    |