Home
Class 12
MATHS
Let alpha , beta be the roots of x^(2)...

Let `alpha , beta ` be the roots of ` x^(2) + (3- lambda) x - lambda =0 , ` then the value of `lambda` for which ` alpha^(2) + beta^(2) ` is minimum, is-

A

0

B

1

C

3

D

2

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 2|30 Videos

  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 3|30 Videos

  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 7|80 Videos

  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 9|66 Videos

Similar Questions

Explore conceptually related problems

If alpha, beta are the roots of x^(2) - px + q = 0 and alpha', beta' are the roots of x^(2) - p' x + q' = 0 , then the value of (alpha - alpha')^(2) + (beta -alpha')^(2) + (alpha - beta')^(2) + (beta - beta')^(2) is

If alpha and beta (alpha gt beta) are the roots of x^(2) + kx - 1 =0 , then find the value of tan^(-1) alpha - tan^(-1) beta

If alpha,beta are roots of x^2-3x+a=0 , a in R and alpha <1< beta then find the value of a.

If alpha,beta,gamma are the roots of x^3+ax+b =0, then the value of alpha^3+beta^3+gamma^3

If alpha and beta be the roots of equation x^(2) + 3x + 1 = 0 then the value of ((alpha)/(1 + beta))^(2) + ((beta)/(1 + alpha))^(2) is equal to

If alpha and beta are the roots of x^2-x+1=0 ,then the value of alpha^(2013)+beta^(2013) is equal to

IF alpha and beta be the roots of the equation ax^2+bx+c=0 , find the values of alpha^2+beta^2

If alphaand beta are the roots of x^(2)-x+1=0 ,then the value of alpha^(2013)+beta^(2013) is equal to -

If alpha,beta be the roots of x^(2)-a(x-1)+b=0 then the value of (1)/(alpha^(2)-aalpha)+(1)/(beta^(2)-abeta)+(2)/(a+b) is

If alphaandbeta be the roots of the equation 3x^(2)+8x+2=0 , then the value of ((1)/(alpha)+(1)/(beta))

CHHAYA PUBLICATION-MCQ ZONE 3 -Question Paper 8
  1. Let alpha , beta be the roots of x^(2) + (3- lambda) x - lambda =0 ,...

    Text Solution

    |

  2. If the line y=2x+k is a tangent to the curve x^(2)=4y, then the value ...

    Text Solution

    |

  3. The are (in square unit ) bounded by the parabola x^(2)=16y, y-axis an...

    Text Solution

    |

  4. The tangent drawn at the point (0, 1) on the curve y=e^(2x) meets the ...

    Text Solution

    |

  5. The area (in square unit) bounded by the curve f(x)=4-|x| and the x-a...

    Text Solution

    |

  6. If the area bounded by the parabola y=x-x^(2) and the line y=mx is (9)...

    Text Solution

    |

  7. The point of intersection of the tangents to the parabola y^(2)=4ax at...

    Text Solution

    |

  8. The locus of the point of intersection of two perpendicular tangents t...

    Text Solution

    |

  9. If the area bounded by the parabola y=2-x^(2) and the line x+y=0 is A...

    Text Solution

    |

  10. The angle between the tangents drawn from the point (1, 4) to the pa...

    Text Solution

    |

  11. The area (in square unit) of the region bounded by the curve y=|x-2|...

    Text Solution

    |

  12. If the line 2x+sqrt(6)y=2 is a tangent to the hyperbola x^(2)-2y^(2)=...

    Text Solution

    |

  13. The equation of the normal to the curve x^(3)+y^(3)=8xy at the point w...

    Text Solution

    |

  14. The curve x=1-3t^(2), y=t-3t^(3) is symmetrical with respect to -

    Text Solution

    |

  15. The equation of the curve in which the portion of the tangent between...

    Text Solution

    |

  16. The equation of the normal to the parabola y^(2)=5x. Which makes an a...

    Text Solution

    |

  17. The maximum value of Z=3x+4y subject to the constraints x+y le 40, x...

    Text Solution

    |

  18. The minimum value of (1)/(2)(7-cos2x) is -

    Text Solution

    |

  19. If g(x)=min(x, x^(2)) where x is a real number then -

    Text Solution

    |

  20. The value of a so that the sum of the squares of the roots of the equ...

    Text Solution

    |

  21. Twenty metres are available to fence a land in the form of a circular...

    Text Solution

    |