Home
Class 12
MATHS
If x - lambda is a factor of x^(4)-lambd...

If `x - lambda` is a factor of `x^(4)-lambda x^(3)+2x+6`. Then the value of `lambda` is

A

`2`

B

`-2`

C

`-3`

D

`3`

Text Solution

Verified by Experts

The correct Answer is:
C
If `x - lambda` is a factor of ………………
Let `P(x) = x^(4)-lambdax^(3)+2x+6`
`implies lambda^(4)-lambda^(4)+2lambda+6=0`
`implies lambda = -3`
Promotional Banner

Topper's Solved these Questions

  • TEST PAPERS

    RESONANCE|Exercise PART : 1MATHEMATICS SEC - 1|1 Videos

  • TEST PAPERS

    RESONANCE|Exercise PART : 1MATHEMATICS|9 Videos

  • TEST PAPER

    RESONANCE|Exercise CHEMISTRY|37 Videos

  • TEST SERIES

    RESONANCE|Exercise MATHEMATICS|131 Videos

Similar Questions

Explore conceptually related problems

If the line y=3x+lambda touches the hyperbola 9x^(2)-5y^(2)=45 , then the value of lambda is

If x(sgn x)(sgn x)+|x|(sgnx)^(3)=lambda x^(mu), then the value of lambda+mu is:

If the coefficient of x^(21) in the expansion of (x^(2)+(3 lambda)/(x))^(15) is 3640 , then the value of lambda equals

Let f(x,y)={(x,y):y^(2)<=4x,0<=x<=lambda} and s(lambda) is area such that (S(lambda))/(S(4))=(2)/(5). Find the value of lambda

If the area bounded by the curves y=-x^(2)+6x-5 , y=-x^(2)+4x-3 and the line y=3x-15 is (73)/(lambda) where x>=1 then the value of lambda is _______________

If the area bounded by the curves y=-x^(2)+6x-5 , y=-x^(2)+4x-3 and the line y=3x-15 is (73)/(lambda) where x>=1 then the value of lambda is _______________

If the area bounded by the curves y=-x^(2)+6x-5 , y=-x^(2)+4x-3 and the line y=3x-15 is (73)/(lambda) where x>=1 then the value of lambda is _______________

if the area enclosed by the curves y^(2)=4 lambda x and y=lambda x is (1)/(9) square units then value of lambda is

RESONANCE-TEST PAPERS-MATHEMATICS
  1. If x - lambda is a factor of x^(4)-lambda x^(3)+2x+6. Then the value o...

    Text Solution

    |

  2. The least positive integral value of 'k' for which there exists at lea...

    Text Solution

    |

  3. The locus of the midpoint of a chord of the circle x^2+y^2=4 which sub...

    Text Solution

    |

  4. If f(x)=x+tanx and g(x) is inverse of f(x) then g^(')(x) is equal to

    Text Solution

    |

  5. Tangents PA and PB are drawn to parabola y^(2)=4x from any arbitrary p...

    Text Solution

    |

  6. If lim(nrarroo) (n.2^(n))/(n(3x-4)^(n)+n.2^(n+1)+2^(n))=1/2 where "n" ...

    Text Solution

    |

  7. Eccentricity of ellipse 2(x-y+1)^(2)+3(x+y+2)^(2)=5 is

    Text Solution

    |

  8. If (tan^(-1)x)^(3)+(tan^(-1)y)^(3)=1-3tan^(-1)x.tan^(-1)y. Then which ...

    Text Solution

    |

  9. If f:RrarrR is a continuous function satisfying f(0)=1 and f(2x)-f(x)=...

    Text Solution

    |

  10. tan^(-1)(sinx)=sin^(-1)(tanx) holds true for

    Text Solution

    |

  11. is The function f(x)=(x^2-1)|x^2-3x+2|+cos(|x|) is differentiable not ...

    Text Solution

    |

  12. Consider parabola P(1)-=y=x^(2) and P(2)-=y^(2)=-8x and the line L-=lx...

    Text Solution

    |

  13. If the normals at (x(i),y(i)) i=1,2,3,4 to the rectangular hyperbola x...

    Text Solution

    |

  14. Let f(x)=x^(3)-x^(2)+x+1 and g(x)={("max "f(t) 0letlex 0lexle1),(3-x 1...

    Text Solution

    |

  15. The value(s) of x satisfying tan^(-1)(x+3)-tan^(-1)(x-3)=sin^(-1)(3/5)...

    Text Solution

    |

  16. For an ellipse having major and minor axis along x and y axes respecti...

    Text Solution

    |

  17. If f:[0,1]rarrR is defined as f(x)={(x^(3)(1-x)"sin"1/(x^(2)) 0ltxle1)...

    Text Solution

    |

  18. If f(x)=root (3)(8x^(3)+mx^(2))-nx such that lim(xrarroo)f(x)=1 then

    Text Solution

    |

  19. For the curve y=4x^3-2x^5,find all the points at which the tangent pa...

    Text Solution

    |

  20. Minimum value of (sin^(-1)x)^(2)+(cos^(-1)x)^(2) is greater than

    Text Solution

    |

  21. If y+a=m(1)(x+3a),y+a=m(2)(x+3a) are two tangents to the parabola y^(2...

    Text Solution

    |