Home
Class 12
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) `-2-2sqrt3` (B) `-2+2sqrt3` (C) `4+3sqrt2` (D) `4-3sqrt2`

A

`2 - sqrt(3)`

B

`4 - 3sqrt(2)`

C

`-2 + sqrt(2)`

D

`4 - 2sqrt(3)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • JEE 2019

    CENGAGE PUBLICATION|Exercise Chapter 1|5 Videos

  • JEE 2019

    CENGAGE PUBLICATION|Exercise Chapter 2|7 Videos

  • JEE 2019

    CENGAGE PUBLICATION|Exercise chapter -3|1 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    CENGAGE PUBLICATION|Exercise All Questions|541 Videos

  • LIMITS

    CENGAGE PUBLICATION|Exercise Comprehension Type|4 Videos

Similar Questions

Explore conceptually related problems

The sum of the roots of the quadratic equation (2-sqrt3)x^(2)+x+1=0 is _______ .

Two roots of the quadratic equation x^(2) -(3sqrt2-2i ) x- 6 sqrt2i=0 are-

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

One root of the quadratic equation x^(2)+(sqrt5-sqrt3)x-sqrt15=0" is "sqrt3 .

For what value of m, the roots of the quadratic equation 4x^(2)+4(3m-1)x+(m+7)=0 are reciprocal to each other ?

Short-answer type questions (S.A.) : If one root of the quadratic equation 3x^(2)+sqrt2x+a=0" be "sqrt2 , then find the value of a.

Fill in the blanks : If one root of the quadratic equation 3x^(2)-sqrt3x-a=0" be ",sqrt3 then the value of a is ______ .

Find the roots of the following quadratic equations, if they exist. 4x^(2)+4sqrt(3)x+3=0

Find the nature of the roots of the quadratic equations. If real roots exist, find them 3x^(2)-4sqrt(3)x+4=0

If x = 2+sqrt3 , the value of x+1/x is sqrt2 .

CENGAGE PUBLICATION-JEE 2019-MCQ
  1. If one root is cube of the other of equation 81x^2 +kx+256=0 then valu...

    Text Solution

    |

  2. Let alpha and beta be the roots of the quadratic equation x^(2) sin th...

    Text Solution

    |

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

    Text Solution

    |

  4. The number of integral values of m for which the quadratic expression ...

    Text Solution

    |

  5. Let A={theta in (-pi /2,pi):(3+2i sin theta )/(1-2 i sin theta ) is pu...

    Text Solution

    |

  6. Let Z0 is the root of equation x^2+x+1=0 and Z=3+6i(Z0)^(81)-3i(Z0)^(9...

    Text Solution

    |

  7. Let z(1) and z(2) be any two non-zero complex numbers such that 3|z(1)...

    Text Solution

    |

  8. If z=((sqrt(3))/2+i/2)^5+((sqrt(3))/2-i/2)^5 , then prove that I m(z)=...

    Text Solution

    |

  9. Let (-2 -1/3 i)^3=(x+iy)/27 (i= sqrt(-1)) where x and y are real numbe...

    Text Solution

    |

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

    Text Solution

    |

  11. Let Z(1) and Z(2) be two complex numbers satisfying |Z(1)|=9 and |Z(2)...

    Text Solution

    |

  12. Consider the statement : " P(n) : n^(2)-n+41 is prime." Then, which on...

    Text Solution

    |

  13. If a ,b ,c are three distinct real numbers in G.P. and a+b+c=x b , the...

    Text Solution

    |

  14. Let a1, a2,...,a30 be an AP, S=sum(i=1)^(30)ai and T=sum(i=1)^(15)a(2i...

    Text Solution

    |

  15. The sum of series 1+6+(9(1^(2)+2^(2)+3^(2)))/(7) + (12(1^(2)+2^(2)+...

    Text Solution

    |

  16. Let a, b and c be the 7th, 11th and 13th terms, respectively, of a non...

    Text Solution

    |

  17. The sum of all two digit positive numbers which when divided by 7 yiel...

    Text Solution

    |

  18. If 5, 5r and 5r^(2) are the lengths of the sides of a triangle, then r...

    Text Solution

    |

  19. The sum of an infinite geometric series with positive terms is 3 and t...

    Text Solution

    |

  20. Let a1, a2, a3, ?a10 are in G.P. if a3/a1 =25 then a9/a5 is equal to ...

    Text Solution

    |