Home
Class 12
MATHS
If (1-p) is a root of quadratic equation...

If `(1-p)` is a root of quadratic equation `x^(2)+px+(1-p)=0` then its roots are

A

`0,-1`

B

`-1,1`

C

`0,1`

D

`-1,2`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    NEW JOYTHI PUBLICATION|Exercise EXERCISE|50 Videos
  • BINOMIAL THEOREM

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|51 Videos
  • CONIC SECTIONS

    NEW JOYTHI PUBLICATION|Exercise EXERCISE - HYPERBOLA|9 Videos

Similar Questions

Explore conceptually related problems

If (1+i) is a root of the equation x^(2)-x+(1-i)=0 , then the other root is

The real roots of the quadratic equation x^(2)-x-1=0 are ___.

Product of the roots of the quadratic equation x^(2)+3x=0 is

If one root of quadratic equations is 1-sqrt(3) then the other root is …………..

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

If the roots of the quadratic equation ax^(2) + cx + c = 0 are in the ratio P : q then show that sqrt (p/q) + sqrt (q/p) + sqrt (c/a) = 0

If -4 is a root of the equation x^(2)+px-4=0 and if the equation x^(2)+px+q=0 are equal roots, find the values of p and q.

Let alpha,beta in Rdot If alpha,beta^2 are the roots of quadratic equation x^2-p x+1=0. a n dalpha^2,beta are the roots of quadratic equation x^2-q x+8=0, then find p ,q,alpha,betadot

Number of integral values of a such that the quadratic equation x^(2)+a x+a+1=0 has integral roots is

If the roots of the equadratic equation x^(2) + px + q = 0 " are " tan23^(@) "and" tan22^(@), then find the value of q - p .

NEW JOYTHI PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-QUESTIONS FROM COMPETITIVE EXAMS
  1. Let z(1)" and "z(2) be two roots of the equation z^(2)+az+b=0, z being...

    Text Solution

    |

  2. Let two numbers have arithmetic mean 9 and geometric mean 4. Then thes...

    Text Solution

    |

  3. If (1-p) is a root of quadratic equation x^(2)+px+(1-p)=0 then its roo...

    Text Solution

    |

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

    Text Solution

    |

  5. Let z, omega be complex numbers such that bar(z)+ibar(omega)=0" and "a...

    Text Solution

    |

  6. If z= x-iy" and "z^(1/3)= p+iq, then (((x)/(p)+(y)/(q)))/((p^(2)+q^(2)...

    Text Solution

    |

  7. If |z^(2)-1|=|z^(2)|+1, then z lies on

    Text Solution

    |

  8. If z(1)" and "z(2) are two non-zero complex numbers such that |z(1)+z(...

    Text Solution

    |

  9. If omega=(z)/(z-(1/3)i)" and "|omega|=1, then z lies on

    Text Solution

    |

  10. If the cube roots of unity are 1, omega, omega^(2) then the roots of t...

    Text Solution

    |

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

    Text Solution

    |

  12. If the both roots of the equation x^(2)-bx+c=0 be two consecutive inte...

    Text Solution

    |

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

    Text Solution

    |

  14. Find the derivative of x^(n)+ax^(n-1)+a^(2)x^(n-1)+ . . .+a^(n-1)x+a^(...

    Text Solution

    |

  15. If the roots of the quadratic equation x^(2)+px+q=0 are tan 30^(@)" an...

    Text Solution

    |

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

    Text Solution

    |

  17. The value of is sum(k=1)^(10)(sin"" (2k pi)/(11)+ icos ""(2k pi)/(11))...

    Text Solution

    |

  18. If z^(2)+z+1=0, where z is a complex number, then the value of (z+(1)/...

    Text Solution

    |

  19. If, |z+4| le 3, then the maximum value of |z+1| is

    Text Solution

    |

  20. If the difference between the roots of the equation x^(2)+ax+1=0 is le...

    Text Solution

    |