Home
Class 12
MATHS
The set of values of p for which the roo...

The set of values of p for which the roots of the equation `3x^(2)+2x+p(p-1)=0` are of opposite signs is :

A

`(-oo,0)`

B

`(0,1)`

C

`(1,oo)`

D

`(0,oo)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • THEORY OF QUADRATIC EQUATIONS

    ML KHANNA|Exercise Problem Set - 1 (True And False)|3 Videos
  • THEORY OF QUADRATIC EQUATIONS

    ML KHANNA|Exercise Problem Set - 1 (Fill In The Blanks)|4 Videos
  • THE PARABOLA

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE (Assertion/ Reason)|1 Videos
  • TRIGONOMETRICAL EQUATIONS

    ML KHANNA|Exercise SELF ASSESSMENT TEST |27 Videos

Similar Questions

Explore conceptually related problems

find the set of values of a for which roots of the equation x^(2)+2(a-1)x+(a+5) are of opposite sign

the set of values of p for which 6 lies between the roots of the equation x^(2)+2(p-3)x+9=0 is

Find the value of p for which the roots of the equation p x(x-2)+6=0, are equal.

Find all values of p for which the roots of the equation (p-3)x^(2)-2px+5p=0 are real and positive

If the range of the values of a for which the roots of the equation x ^(2) -2x - a ^(2) +1=0 lie between the roots of the equation x ^(2) -2 (a+1)x +a(a -1) =0 is (p,q), then find the value of (q- (1)/(p)).

The set of values of p in R for which the equation x^2 +px+ 1/4 (p+2)= 0 will have real roots is

The set of real values of a for which the quadratic equation ax^(2)+(2a-3)x+5=0 possesses roots of opposite signs is given by

ML KHANNA-THEORY OF QUADRATIC EQUATIONS -Self Assessment Test
  1. The set of values of p for which the roots of the equation 3x^(2)+2x+p...

    Text Solution

    |

  2. If the equation x^(2)-(2+m)x +(m^(2)-4m+4)=0 has equal roots then the ...

    Text Solution

    |

  3. The number of real solutions of the equation |x|^(2)-3|x|+2=0 is :

    Text Solution

    |

  4. Find the number of solution of the equation e^(sinx)-e^(-sinx)-4=0

    Text Solution

    |

  5. The roots of the equation (p-q) x^(2)+(q-r) x+(r-p)=0 are

    Text Solution

    |

  6. If one root of x^(2) + px+12 = 0 is 4, while the equation x ^(2)...

    Text Solution

    |

  7. Let alpha and beta are the roots of the equation x^(2) + x + 1 = 0 The...

    Text Solution

    |

  8. If the quadratic equation x^(2) +ax +b =0 and x^(2) +bx +a =0 (a ne b...

    Text Solution

    |

  9. If the roots of the equation x^2-8x+a^2-6a=0 are real distinct, then f...

    Text Solution

    |

  10. The value of k for which the equation x^(2)-(3k-1)x+2k^(2)+2k=11 have ...

    Text Solution

    |

  11. if 2 = I sqrt3 be a root of the equation x^(2) + px + q =0, where p ...

    Text Solution

    |

  12. The number of solutions of the pair of equations 2s in^2theta-cos2thet...

    Text Solution

    |

  13. If alpha, beta are roots of the equations Ax^(2)+Bx+C=0. Then value of...

    Text Solution

    |

  14. If the equation x^(2)+px+q=0 and x^(2)+qx+p=0 have a common root then ...

    Text Solution

    |

  15. If alpha and beta (alpha lt beta) are the roots of the equation x^(2) ...

    Text Solution

    |

  16. If 2a+3b+6c=0, then prove that at least one root of the equation a x^2...

    Text Solution

    |

  17. If the roots of the equation (x^2-b x)/(a x-c)=(m-1)/(m+1) are equal t...

    Text Solution

    |

  18. If sin alpha, cos alpha are the roots of the equation ax^(2)+bx+c=0, t...

    Text Solution

    |

  19. If alpha, beta are the roots of x^(2)-ax+b =0 and If alpha^(n)+beta^(n...

    Text Solution

    |

  20. The value of a for which one root of the quadratic equation (a^2-5a+3)...

    Text Solution

    |

  21. If a,b, c are in G.P., then the equations ax^(2) + 2bx + c = 0 and dx^...

    Text Solution

    |