Home
Class 11
MATHS
Roots of the quadratic equation (x^2-4x+...

Roots of the quadratic equation `(x^2-4x+3)+lamda(x^2-6x+8)=0,lamdainR` will be

A

always real

B

real only when`lamda` is positive

C

real only when `lamda` is negative

D

always imaginary

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATION

    PATHFINDER|Exercise QUESTION BANK|19 Videos
  • RECTANGULAR CO-ORDINATES

    PATHFINDER|Exercise QUESTION BANK|27 Videos

Similar Questions

Explore conceptually related problems

The roots of the quadratic equation 2x^2+3x+1 =0 are

One root of the quadratic equation x^(2)-sqrt3x-6=0 is

Two roots of the quadratic equation 3x ^(2)+7i x+6 =0 are-

Two roots of the quadratic equation x^(2) +3i x+ 10=0 are-

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

The roots of the quadratic equation x^(2)+a=0 are ______ .

The sum of the roots of the quadratic equation x^(2)-6x+2=0 is

Determine the nature of the roots of the quadratic equation 3x^(2)-2sqrt6x+2=0 .

The roots of the equation x^(2)+x-6=0 are

For what values of a, the roots of the quadratic equation x^(2)-(3a-1)x+2a^(2)+2a-11=0 are equal ?

PATHFINDER-QUADRATIC EQUATION AND EXPRESSION-QUESTION BANK
  1. The quadratic equations x^2-6x+a=0 and x^2-cx+6=0 have one root in com...

    Text Solution

    |

  2. If alpha and beta are the roots of the equation ax^2+bx+c=0 ,a ne 0,a,...

    Text Solution

    |

  3. Roots of the quadratic equation (x^2-4x+3)+lamda(x^2-6x+8)=0,lamdainR ...

    Text Solution

    |

  4. The number of real solution of the equation absx^2-4absx+3=0 is

    Text Solution

    |

  5. For what values of KinR the expression 2x^2+Kxy+3y^2-5y-2 can be expre...

    Text Solution

    |

  6. How many real solutions does the equation x^7+14x^5+16x^3+30x-560=0 h...

    Text Solution

    |

  7. Set of value of k(kinR) for which equation x^2-4abs(x)+3-abs(k-1)=0 wi...

    Text Solution

    |

  8. It is given that equation 4x^3-3x-p=0 has a unique root in the interva...

    Text Solution

    |

  9. If 3^(x+2)-9^(-1//x)gt0, then the interval of x can be

    Text Solution

    |

  10. The roots of the equation (a+sqrtb)^(x^2-15)+(a-sqrtb)^(x^2-15)=2a w...

    Text Solution

    |

  11. For what real value of 'a' do the roots of x^2-2x-(a^2-1)=0 lie betwee...

    Text Solution

    |

  12. The real solutions of the equation root(4)(97-x)+root(4)x=5

    Text Solution

    |

  13. Consider the equation x^2+x-a=0,ainN If equation has integral roots,...

    Text Solution

    |

  14. A function f:RtoR where R is the set of real numbers,is defined by f(x...

    Text Solution

    |

  15. If b^2ge4ac for the equations ax^4+bx^2+c=0 then all the roots of the ...

    Text Solution

    |

  16. The real roots of the equation

    Text Solution

    |

  17. log(x^2+6x+8)log(2x^2+2x+3)(x^2-2x)=0 holds for

    Text Solution

    |

  18. The values of 'a' for which the equation 4^x-a2^x-a+3=0 has at least o...

    Text Solution

    |

  19. Let the roots of f(x)=xbe alpha and beta where f(x) is quadratic polyn...

    Text Solution

    |

  20. Let the roots of f(x)=xbe alpha and beta where f(x) is quadratic polyn...

    Text Solution

    |