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

If `alpha,beta` are the roots of the equation `x^2+alphax+beta=0` such that `alpha!=beta` and `||x-beta|-alpha|

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

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

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

If alpha " and " beta are the roots of the quadratic equation x^2 -5x +6 =0 then find alpha/beta + beta/alpha

If alpha,beta, are roots of the equation x^(2)+sqrt(x)alpha+beta=0,beta beta then values of alpha and beta are 1. alpha=1 and beta=12 .alpha=1 and beta=-2 3.alpha=2 and beta=1alpha=2 and beta=-2

If alpha and beta be the roots of the equation x^2-1=0 , then show that. alpha+beta=(1)/(alpha)+(1)/(beta)

If alpha and beta be the roots of the equation ax^(2)+bx+c=0 then equation whose roots are alpha+beta and alpha beta is

RESONANCE DPP-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 such tha...

    Text Solution

    |

  4. int(dx)/(tanx+cotx+secx+cos e c x)=

    Text Solution

    |

  5. If alpha,beta,gamma are the real roots of the equation, x^3-3p x^2+3q ...

    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 normal to differentiable curve y = f(x) at x = 0 be given by th...

    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. int\ (x+1)/(x(1+x \ e^x)^2) \ dx equals

    Text Solution

    |

  12. If (log)a b=2,(log)b c=2 and (log)3c=(log)3a+3, then (a+b+c) is equal ...

    Text Solution

    |

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

    Text Solution

    |

  14. If y=tan^(-1)x+tan^(-1)(1/x)+sec^(-1)x , then y lies in the interval ...

    Text Solution

    |

  15. If the matrix satisfies the equation [1-2 4 3]+2x=[2 1-2 0 1 3][3 2 1 ...

    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" ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |