Home
Class 12
MATHS
If alpha, beta are the roots of the equa...

If `alpha, beta` are the roots of the equation `x^(2)+alphax + beta = 0` such that `alpha ne beta` and `||x-beta|-alpha|| lt alpha`, then

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If alpha and beta are the roots of the equation x^2+sqrt(alpha)x+beta=0 then the values of alpha and beta are -

If alpha and beta are the roots of the equation 2x^(2) - 3x + 4 = 0 , then alpha^(2) + beta^(2) = ____

Let alpha, beta are the roots of the equation x^(2)+x+1=0 , then alpha^3-beta^3

If alpha and beta are the roots of the equation x^(2)+alpha x+beta=0 such that alpha ne beta , then the number of integral values of x satisfying ||x-beta|-alpha|lt1 is

If alpha and beta are the root of the equation x^(2) - 4x + 5 = 0 , then alpha^(2) + beta^(2) = ________

If alpha , beta are the roots of x^2 +x+1=0 then alpha beta + beta alpha =

If alpha and beta are the roots of the equation px^(2) + qx + 1 = , find alpha^(2) beta + beta^(2)alpha .

If alpha,beta are the roots of the equation x^(2)+x+1=0 , find the value of alpha^(3)-beta^(3) .

If alpha and beta are the roots of the equation x^(2)-px +16=0 , such that alpha^(2)+beta^(2)=9 , then the value of p is

If alpha,beta are the roots of the equation x^(2) + Px + P^(3) = 0, P ne 0 such that alpha =beta^(2) then the roots of the given equation are

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. An equilateral triangle has each of its sides of length 6 cm. If (x1, ...

    Text Solution

    |

  2. Integrate : int((x+sqrt(1+x^2))^(2009))/(sqrt(1+x^2))dx

    Text Solution

    |

  3. If alpha, beta are the roots of the equation x^(2)+alphax + beta = 0 s...

    Text Solution

    |

  4. Evaluate int(dx)/(tanx+cotx+secx+cosecx).

    Text Solution

    |

  5. If alpha, beta gamma are the real roots of the equation x^(3)-3px^(2)+...

    Text Solution

    |

  6. Comprehension # 'A ray M is sent along the line (x-0)/2=(y-2)/2=(z-1)...

    Text Solution

    |

  7. Equation of a straight line passing through the origin and making with...

    Text Solution

    |

  8. If the equation of the normal to the curve y=f(x) at x=0 is 3x-y+3=0 t...

    Text Solution

    |

  9. If f(x)=x^4-2x^3+3x^2-a x+b is a polynomial such that when it is divid...

    Text Solution

    |

  10. Let the co-ordinates of the two points A&B be (1, 2) and (7, 5) respec...

    Text Solution

    |

  11. Evaluate: int(x+1)/(x(1+x e^x)^2)dx

    Text Solution

    |

  12. If (log)a b=2,(log)b c=2,a n d(log)3c=3+(log)3a , then the value of c/...

    Text Solution

    |

  13. Number of integral solutions of the equation (log)(x-3)((log)(2"x"^2-2...

    Text Solution

    |

  14. Range of f(x)=sin^(-1)x+tan^(-1)x+sec^(-1)x is (pi/4,(3pi)/4) (b) [pi...

    Text Solution

    |

  15. If the matrix satisfies the equation [[1,-2], [4, 3]]+2x=[[2, 1,-2],[ ...

    Text Solution

    |

  16. Find the range of f(x), where f(x)=cos(sin(In(x^2+e)/(x^2+1)))+sin(cos...

    Text Solution

    |

  17. A line cuts the x-axis at A (7, 0) and the y-axis at B(0, - 5) A varia...

    Text Solution

    |

  18. If A= {3, 5, 7, 9, 11}, B = {7, 9, 11 , 13}, C = {11 , 13 , 15}andD = ...

    Text Solution

    |

  19. The value of expression, log4((x^2)/4)-2log4(4x^4) when x=-2 is (a)-6...

    Text Solution

    |

  20. At the point P(a,a^(n)) on the graph of y=x^(n),(n in N), in the first...

    Text Solution

    |