Home
Class 12
MATHS
If p and q are the roots of the equation...

If p and q are the roots of the equation `x^(2)+p x+q=0` then

A

` p=1`

B

` p=1 or 0`

C

`p=-2`

D

`p=-2 or 0`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PROGRESSIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|97 Videos

  • SETS,RELATIONS AND FUNCTIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|285 Videos

Similar Questions

Explore conceptually related problems

If p and q are the roots of the equations x^(2) - 3x+ 2 = 0 , find the value of (1)/(p) - (1)/(q)

If p and q are the roots of the equation x^(2)-3x+2=0 , find the value of (1)/(q)-(1)/(q) .

If alpha and beta are the roots of the equation x^(2) - p(x + 1) - q = 0 , then the value of : (alpha^(2) + 2 alpha + 1)/(alpha^(2)+ 2 alpha + q) + (beta^(2) + 2 beta + 1)/(beta^(2) + 2 beta + q) is :

If alpha, beta be the roots of the equation x^2-px+q=0 then find the equation whose roots are q/(p-alpha) and q/(p-beta)

If cos^(4)theta+p, sin^(4)theta+p are the roots of the equation x^(2)+a(2x+1)=0 and cos^(2)theta+q,sin^(2)theta+q are the roots of the equation x^(2)+4x+2=0 then a is equal to

If the product of the roots of the equations x^(2) + 3x + q=0 is zero then q is equal to :

In a triangle PQR, /_R = pi//2 , If tan(P//2). and tan(Q//2) are the roots of the equation : ax^(2) + bx + c = 0 a != 0 , then :

Let a ,b , c ,p ,q be real numbers. Suppose alpha,beta are the roots of the equation x^2+2p x+q=0,alphaa n d1//beta are the roots of the equation a x^2+2b x+c=0,w h e r ebeta^2 !in {-1,0,1}dot Statement 1: (p^2-q)(b^2-a c)geq0 Statement 2: b!=p aorc!=q a

HIMALAYA PUBLICATION-QUADRATIC EQUATIONS AND EXPRESSION-Question Bank
  1. The minimum positive value of (x^(2)+2 x+4)/(x+2) is

    Text Solution

    |

  2. Let p and q be real number such that p ne 0 , p^(3) ne q and p^(3...

    Text Solution

    |

  3. If p and q are the roots of the equation x^(2)+p x+q=0 then

    Text Solution

    |

  4. If the difference between the roots of x^(2)+a x+b=0 is same as that o...

    Text Solution

    |

  5. If alpha ne beta and alpha^(2) = 5 alpha - 3, beta^(2) = 5 beta - 3 , ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  8. If 2 a+3 b+6 c=0, a, b, c in R then the equation a x^(2)+b x+c=0 has a...

    Text Solution

    |

  9. If (1-p) is a root of the quadratic equation x^(2)+p x+(1-p)=0 then it...

    Text Solution

    |

  10. The value of a for which the sum of the squares of the roots of the eq...

    Text Solution

    |

  11. If both the roots of the quadratic equation x^(2)-2 k x+(k^(2)+k-5)=0 ...

    Text Solution

    |

  12. If x is real, the maximum value of (3 x^(2)+9 x+17)/(3 x^(2)+9 x+7) is

    Text Solution

    |

  13. All the values of m for which both roots of the equation x^(2)-2 m x+(...

    Text Solution

    |

  14. If the roots of the quadratic equation x^(2)+p x+q=0 are tan 30^(circ)...

    Text Solution

    |

  15. If the difference between the roots of the equation x^(2)+a x+1=0 is l...

    Text Solution

    |

  16. The quadratic equations : x^(2) - 6x + a = 0 and x^(2) - cx + 6 = ...

    Text Solution

    |

  17. If the roots of the equation bx^(2)+cx+a=0 be imaginary then fro all r...

    Text Solution

    |

  18. If alpha , beta are the roots of the equation : x^(2) + x sqrt(alp...

    Text Solution

    |

  19. The number of solutions of the equation : sin (e^(x)) = 5^(x) + 5^(...

    Text Solution

    |

  20. If the sum of the roots of the equation a x^(2)+b x+c=0 is equal to th...

    Text Solution

    |