Home
Class 12
MATHS
The value of (lambda, mu) for which (lam...

The value of `(lambda, mu)` for which `(lambda - mu) x^3 - (lambda - 2) x^2 -3x +7=0` will have two infinite roots is

A

`(0,0)`

B

`(2,2)`

C

`(1,1)`

D

`(2,0)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • Some New Pattern Problems

    A DAS GUPTA|Exercise Exercise|137 Videos

  • Screening Tests

    A DAS GUPTA|Exercise Exercise|38 Videos

  • Total Conditional Probability and Bayes' Theorem

    A DAS GUPTA|Exercise Exercise|29 Videos

Similar Questions

Explore conceptually related problems

The value of lambda for which the equation lambda^2 - 4lambda + 3+ (lambda^2 + lambda -2)x + 6x^2 - 5x^3 =0 will have two roots equal to zero is

the values of lambda for which (lambda^(2)-3 lambda+2)x^(2)+(lambda^(2)-5 lambda+6)+lambda^(2)-4=0 is identity in x is

The value of lambda in order that the equations 2x^(2)+5 lambda x+2=0 and 4x^(2)+8 lambda x+3=0 have a common root is given by

The values of lambda for which the function f(x)=lambda x^(3)-2 lambda x^(2)+(lambda+1)x+3 lambda is increasing through out number line (a) lambda in(-3,3)( b) lambda in(-3,0)( c )lambda in(0,3) (d) lambda in(1,3)

The value of lambda for which the equation 2x^(2)-2(2 lambda+1)x+lambda(lambda+1)=0 may have one root less than lambda and other root greater than lambda are given by

The value of lambda and mu for which the system of linear equation x+y+z=2 x+2y+3z=5 x+3y+lambda z= mu has infinitely many solutions are , respectively :

The values of lambda and mu for which the system of equations x+y+z=6 x+2y+3z=10 x+2y+lambda z=mu have unique solution are (A) lambda!=3, mu in R ,(B) lambda=3 ,mu=10 ,(C) lambda!=3 ,mu=10, (D) lambda!=3 ,mu!=10

The value of lambda for which the sum of squares of roots of the equation x^(2)+(3-lambda)x+2=lambda is minimum,then lambda is equal to (a) 2 (b) -1 (c) -3(d)-2

If lambda_(1),lambda_(2)(lambda_(1)>lambda_(2)) are two values of lambda for which the expression f(x,y)=x^(2)+lambda xy+y^(2)-5x-7y+6 can be resolved as a product of two linear factors, then the value of 3 lambda_(1)+2 lambda_(2) is

A DAS GUPTA-Some New Pattern Problems-Exercise
  1. If 5x = 3(mod 7) then find x

    Text Solution

    |

  2. The value of lambda for which the equation lambda^2 - 4lambda + 3+ (la...

    Text Solution

    |

  3. The value of (lambda, mu) for which (lambda - mu) x^3 - (lambda - 2) x...

    Text Solution

    |

  4. The combined equation of asymptotes to the hyperbola x^2 + 4xy + 3y^2...

    Text Solution

    |

  5. 17^22 - 1 is a multiple of

    Text Solution

    |

  6. The highest power of 7 which divides 1000 ! is

    Text Solution

    |

  7. The equation of conjugate hyperbola of x^2/8 - 3y^2/8 =1

    Text Solution

    |

  8. The parabola circumscribing /\ABC and passing through the point (4, 4)...

    Text Solution

    |

  9. The parabola circumscribing /\ABC{(0,0), (4,4), (4,-4)} and passing th...

    Text Solution

    |

  10. If A = (2, (3sqrt3/2)) then coordinates of C taken mirror image along...

    Text Solution

    |

  11. If the equation of the diameter AB is x = y then the equation of the c...

    Text Solution

    |

  12. The equations of the line QR are where Q (3, 6, 3) , R(18, 43, 13)

    Text Solution

    |

  13. The distance of the centre of the sphere x^2 + y^2 + z^2 - 2x - 4y = 0...

    Text Solution

    |

  14. The radius of the circle of intersection of the sphere x^2 +y^2 +z^2=9...

    Text Solution

    |

  15. The area of the sphere x^2 + y^2 + z^ 2 = 25 is

    Text Solution

    |

  16. If P(ui)) oo i , where i = 1, 2, 3, . . ., nthen lim(nrarrw) P(w) is ...

    Text Solution

    |

  17. There are n urns each containing (n + 1) balls such that the i^(th) ur...

    Text Solution

    |

  18. The set of values of p inR for which x^2 +px+ 1/4 (p+2)ge 0 for allx ...

    Text Solution

    |

  19. The set of values of p in R for which the equation x^2 +px+ 1/4 (p+2)...

    Text Solution

    |

  20. If p is chosen at random from the interval [0, 6] then the probability...

    Text Solution

    |