Home
Class 11
MATHS
Find the value of a for which one root o...

Find the value of `a` for which one root of the quadratic equation `(a^2-5a+3)x^2+(3a-1)x+2=0` is twice as large as the other.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    CENGAGE ENGLISH|Exercise All Questions|365 Videos
  • CONIC SECTIONS

    CENGAGE ENGLISH|Exercise All Questions|1344 Videos

Similar Questions

Explore conceptually related problems

Find the value of p, for which one root of the quadratic equation px^2-14x + 8 = 0 is 6 times the other.

Find the value of p, for which one root of the quadratic equation px^(2)-14x+8=0 is 6 times the other.

Find the roots of the quadratic equation 6x^2-x-2=0 .

Find the values of the parameter a for which the roots of the quadratic equation x^(2)+2(a-1)x+a+5=0 are equal

Find the values of the parameter a for which the roots of the quadratic equation x^(2)+2(a-1)x+a+5=0 are not real

Find the roots of the quadratic equation 3x^2-2sqrt(6)x+2=0

Find the nature of roots of the quadratic equation 4x^(2)-5x+3=0 .

CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. find the differtiation of (i) tan(secx) (ii) sin(tanx)

    Text Solution

    |

  2. Roots of the equation are (z+1)^5=(z-1)^5 are (a) +-itan(pi/5),+-ita...

    Text Solution

    |

  3. Find the value of a for which one root of the quadratic equation (a^2-...

    Text Solution

    |

  4. If |z1-z0|=|z2-z0|=a and amp((z2-z0)/(z0-z1))=pi/2 , then find z0

    Text Solution

    |

  5. Which of the following represents a points in an Argand pane, equidi...

    Text Solution

    |

  6. If the harmonic mean between roots of (5+sqrt(2))x^2-b x+8+2sqrt(5)=0i...

    Text Solution

    |

  7. If n in N >1 , then the sum of real part of roots of z^n=(z+1)^n is...

    Text Solution

    |

  8. If z1, z2, z3, z4 are the affixes of four point in the Argand plane, z...

    Text Solution

    |

  9. Find the values of the parameter a such that the rots alpha,beta of ...

    Text Solution

    |

  10. Solve the equation z^3= z (z!=0)dot

    Text Solution

    |

  11. If z=omega,omega^2 where omega is a non-real complex cube root of unit...

    Text Solution

    |

  12. Let alphaa n dbeta be the solutions of the quadratic equation x ^2-11...

    Text Solution

    |

  13. If ((1+i)/(1-i))^m=1, then find the least positive integral value of m...

    Text Solution

    |

  14. If ,Z1,Z2,Z3,........Z(n-1) are n^(th) roots of unity then the value ...

    Text Solution

    |

  15. If a ,b ,c in R^+a n d2b=a+c , then check the nature of roots of equa...

    Text Solution

    |

  16. If z is a complex number such taht z^2=( barz)^2, then find the loc...

    Text Solution

    |

  17. If z^3+(3+2i)z+(-1+i a)=0 has one real roots, then the value of a lies...

    Text Solution

    |

  18. Determine the value of k for which x+2 is a factor of (x+1)^7+(2x+k)^3...

    Text Solution

    |

  19. Find the complex number z satisfying R e(z^2 =0),|z|=sqrt(3.)

    Text Solution

    |

  20. Given that the expression 2x^3+3p x^2-4x+p hs a remainder of 5 when di...

    Text Solution

    |