Home
Class 11
MATHS
If ratio of the roots of the quadratic e...

If ratio of the roots of the quadratic equation `3m^2x^2+m(m-4)x+2=0` is `lamda` such that `lamda+1/lamda=1` then least value of `m` is

A

`4-2sqrt(3)`

B

`4-3sqrt(2)`

C

`2-sqrt(3)`

D

`-2+sqrt2`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise FREQUENTLY ASKED QUESTIONS|26 Videos

  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise CHECK YOUR UNDERSTANDING|10 Videos

  • BINOMIAL THEOREM

    MODERN PUBLICATION|Exercise COMPETITION FILE (JEE MAIN)|11 Videos

  • CONIC SECTIONS

    MODERN PUBLICATION|Exercise CHAPTER TEST 11|12 Videos

Similar Questions

Explore conceptually related problems

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

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

If lambda be the ratio of the roots of the quadratic equation in x, 3m^2 x^2+m(m-4)x+2=0 , then the least value of m for which lambda+(1)/(lambda)=1 , is k-3 sqrt(2) . The value of k is __________.

If lambda be the ratio of the roots of the quadratic equation in x,3m^(2)x^(2)+m(m-4)x+2=0 then the least values of m for which lambda+(1)/(lambda)=1 is

The value of lamda such that sum of the squares of the roots of the quadratic equation, x^(2)+(3-lamda)x+2=lamda had the least value is

Minimum posible number of positive root of the quadratic equation x ^(2) -(1+ lamda) x + lamda -2 =0, lamda in R:

Find m, if the quadratic equation (m-1)x^2-2(m-1)x+1=0 has real and equal roots.

Find m, if the quadratic equation (m-1)x^2-2(m-1)x+1=0 has real and equal roots.

The value of m for which the roots of the equation x^(2)+(m-2)x+m+2=0 are in the ratio 2:3 is

If one root of quadratic equation x^(2)-x+3m=0 is 4 xx the root of the equation x^(2)-x+m=0, where m!=0 then m equals

MODERN PUBLICATION-COMPLEX NUMBERS-COMPETITION FILE
  1. If the conjugate of a complex numbers is 1/(i-1), where i=sqrt(-1). Th...

    Text Solution

    |

  2. If |z- 4/z| = 2, then find the maximum value of |z|.

    Text Solution

    |

  3. The number of complex numbers z such that |z-1|=|z+1|=|z-i| is

    Text Solution

    |

  4. If alpha and beta are the roots of the equation x^2-x+1=0 , then alpha...

    Text Solution

    |

  5. Let alpha,beta be real and z be a complex number. If z^2+alphaz""+beta...

    Text Solution

    |

  6. If omega(!=1) is a cube root of unity, and (1""+omega)^7=""A""+""...

    Text Solution

    |

  7. If z ne 1 and (z^(2))/(z-1) is real, the point represented by the comp...

    Text Solution

    |

  8. Let z be a complex number such that the imaginary part of z is nonzero...

    Text Solution

    |

  9. If z is a complex number of unit modulus of modulus and argument thet...

    Text Solution

    |

  10. If z is a complex number such that |z|>=2 then the minimum value of |z...

    Text Solution

    |

  11. A complex number z is said to be uni-modular if |z|=1. Suppose z(1) a...

    Text Solution

    |

  12. A value of theta for which (2+3isintheta)/(1-2isintheta) is purely ima...

    Text Solution

    |

  13. If ratio of the roots of the quadratic equation 3m^2x^2+m(m-4)x+2=0 is...

    Text Solution

    |

  14. Let (z-alpha)/(z+alpha) is purely imaginary and |z|=2, alphaepsilonR t...

    Text Solution

    |

  15. If one root of the quadratic equation X^(2)+px+q=0 is 2-sqrt(3) : wher...

    Text Solution

    |

  16. If S={(alpha+i)/(alpha-i),alphainR} then the S lies on

    Text Solution

    |

  17. Let z=((1+i)^(2))/(a-i)(agta) and |z|=sqrt((2)/(5)), then overline(z) ...

    Text Solution

    |