Home
Class 12
MATHS
Given that the roots of x^(3) + 3px^(2)+...

Given that the roots of `x^(3) + 3px^(2)+3qx+r=0` are in harmonic progression Then,

A

`2q^(3) = r(3pq-r)`

B

`q^(3)=r(3pq-r)`

C

`q^(3)=-r(3pq-r)`

D

`q^(3)=r(r+3pq)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • ONLINE QUESTION PAPER

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise Mathematics|80 Videos

  • QUESTION PAPER 2015

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|78 Videos

Similar Questions

Explore conceptually related problems

Given that roots of x^3+3px^2+3qx+r=0 are in G.P. show that p^3 r=q^3

If the roots of the equation x^3 +3px^2 + 3qx -8=0 are in a geometric progression , then (q^3)/( p^3) =

The condition that the roots of x^(3) + 3px^(2) + 3qx + r = 0 may be in G.P is

The condition that the roots of x^(3)+ 3px^(2) + 3qx + r = 0 may be in A.P is

If the roots alpha, beta , gamma of the equation x^(3)-6x^(2)+px+10=0 are in arithmetic progression, then alpha^(3)+beta^(3)+gamma^(3)=

Given that roots of x^3+3px^2+3qx+r=0 are in (i)A.P., show that 2p^3-3qp+r=0

TS EAMCET PREVIOUS YEAR PAPERS-ONLINE QUESTION PAPER 2018-MATHEMATICS
  1. Let E(1)equiv a x^(2)+ bx + c,E(2)equiv bx^(2) + cx + a, E(3) equiv ...

    Text Solution

    |

  2. If for any real x,(11x^(2)+12x+6)/(x^(2)+4x+2)= y is such that ylt a o...

    Text Solution

    |

  3. Given that the roots of x^(3) + 3px^(2)+3qx+r=0 are in harmonic progr...

    Text Solution

    |

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

    Text Solution

    |

  5. The number of proper divisors of the number obtained by dividing 13! W...

    Text Solution

    |

  6. In an admission test,there are 15 multiple choice questions. Each ques...

    Text Solution

    |

  7. The absolute value of the numerically greatest term in the expansion o...

    Text Solution

    |

  8. The sum to infinite terms of the series (3)/(10)+(3.7)/(10.15)+(3.7....

    Text Solution

    |

  9. if (3x+2)/((x+1)(2x^(2)+3))=(A)/(x+1)+(Bx+C)/(2x^(2)+3') " then " A- B...

    Text Solution

    |

  10. sin 10^(@) sin50^(@)sin 60^(@) sin 70^(@)=m " and tan "20^(@) tan 40^(...

    Text Solution

    |

  11. Assertion (A) If alpha =12 ^(@),beta = 15^(@),gamma = 18^(@), then ta...

    Text Solution

    |

  12. cot theta - tan theta - 2 tan 2theta- 4 tan 4theta=

    Text Solution

    |

  13. If the general solution of sin x + 3 sin 3x + sin 5 x = 0 " is " x =...

    Text Solution

    |

  14. If cos^(-1)2x+cos ^(-1)3x=(pi)/(3), " then "x=

    Text Solution

    |

  15. If cosh beta= secalphacos theta,sin h beta = " cosec "alphasin theta,"...

    Text Solution

    |

  16. If sin A , sin B are roots of c^(2) x^(2) - c ( a+b) x + ab = 0 , ...

    Text Solution

    |

  17. Let ABC be an isosceles triangle with BC as its base. Then, rr(1)=

    Text Solution

    |

  18. In a Delta ABC, a ^(4)+b^(4) + c^(4) = 2b^(2)c^(2)+2a^(2)b^(2), " then...

    Text Solution

    |

  19. If a = 2hat(i) + 3hat(j) +hat(k),b = hat(i)- 3 hat(j)- 5hat(k) and c=3...

    Text Solution

    |

  20. If 2hat(i) - hat(j) + 3 hat(k),-12hat(i)-hat(j)- 3hat(k),-hat(i)+2hat(...

    Text Solution

    |