Home
Class 12
MATHS
A value of b for which the equation x^2+...

A value of `b` for which the equation `x^2+b x-1=0,x^2+x+b=0` have one root in common is `-sqrt(2)` b. `-isqrt(3)` c. `sqrt(2)` d. `sqrt(3)`

A

`-sqrt(2)`

B

`-isqrt(3)`

C

`isqrt(5)`

D

`sqrt(2)`

Text Solution

Verified by Experts

The correct Answer is:
b
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATION

    MOTION|Exercise EXERCISE -3 (SUBJECTIVE)|36 Videos
  • PERMUTATION AND COMBINATION

    MOTION|Exercise EXAMPLE|23 Videos
  • SEQUENCE & SERIES

    MOTION|Exercise Exercise -4 Level -II Previous Year /JEE Advanced|22 Videos

Similar Questions

Explore conceptually related problems

A value of b for which the equation x^(2)+bx-1=0,x^(2)+x+b=0 have one root in common is -sqrt(2) b.-i sqrt(3)c.sqrt(2)d .sqrt(3)

The value of b for which the equation x^(2)+bx-1=0 and x^(2)+x+b=0 have one root in common is ( a -sqrt(2)(b)-i sqrt(3) (c) i sqrt(5)(d)sqrt(2)

The set of value of a for which both the roots of the equation x^2-(2a-1)x+a=0 are positie is (A) {(2-sqrt(3))/2} (B) {(2-sqrt(3))/2,(2+sqrt(3))/2} (C) [(2+sqrt(3)/2,oo) (D) none of these

If one root x^(2)-x-k=0 is square of the other,then k=a.2+-sqrt(5)b.2+-sqrt(3)c3+-sqrt(2)d.5+-sqrt(2)

If the equation x^(2)+x-b^(2)=0 and x^(2)-bx-1=0 have a common root then number of values of b is/are

If the equation x^(2)+bx-a=0 and x^(2)-ax+b=0 have a common root,then a.a +b=0 b.a=b c.a-b=1 d.a+b=1

The number of roots of the equation,2^(x)-1-sqrt(4-x^(2))=0( A) one (C) zero (B) two

If c!=0 and the equation p/(2x)=a/(x+c)+b/(x-c) has two equal roots,then p can be (sqrt(a)-sqrt(b))^(2) b.(sqrt(a)+sqrt(b))^(2) c.a+b d.a-b

MOTION-QUADRATIC EQUATION-EXERCISE 4 (PREVIOUS YEAR| JEE MAIN)
  1. 8. Sachin and Rahul attempted to solve a quadratic equation. Sachin ma...

    Text Solution

    |

  2. Show that the equation e^(sinx)-e^(-sinx)-4=0 has no real solution.

    Text Solution

    |

  3. The real number k for which the equation, 2x^3+""3x""+""k""=""0 has tw...

    Text Solution

    |

  4. If the equation x^(2)+2x+3=0 and ax^(2)+bx+c=0, a,b,c in R have a comm...

    Text Solution

    |

  5. Let alpha and beta be the roots of equation px^2 + qx + r = 0 , p != ...

    Text Solution

    |

  6. If a in R and the equation -3(x-[x])^2+2(x-[x])+a^2=0 (where [x] denot...

    Text Solution

    |

  7. Let alpha and beta be the roots of equation x^2-6x-2""=""0 . If an=...

    Text Solution

    |

  8. alpha,beta be the roots of the equation x^2-px+r=0 and alpha/2 , 2beta...

    Text Solution

    |

  9. Let f(x)=(x^(2)-6x+5)/(x^(2)-5x+6) Match the expressions/ statements i...

    Text Solution

    |

  10. Let a,b,c,p,q be the real numbers. Suppose alpha,beta are the roots of...

    Text Solution

    |

  11. The smallest value of k, for which both the roots of the equation, x^2...

    Text Solution

    |

  12. Q. Let p and q real number such that p!= 0,p^2!=q and p^2!=-q. if alph...

    Text Solution

    |

  13. Let alpha and beta be the roots of x^2-6x-2=0 with alpha>beta if an=al...

    Text Solution

    |

  14. A value of b for which the equation x^2+b x-1=0,x^2+x+b=0 have one roo...

    Text Solution

    |

  15. Let a in R and let f: R to R be given by f(x) =x^(5) -5x+a. then

    Text Solution

    |

  16. The quadratic equation p(x)=0 with real coefficients has purely imagin...

    Text Solution

    |

  17. Let S be the set of all non-zero real numbers such that the quadratic ...

    Text Solution

    |

  18. Let -(pi)/6ltthetalt -(pi)/12. Suppose alpha(1) and beta(1) are the ro...

    Text Solution

    |

  19. Let p ,q be integers and let alpha,beta be the roots of the equation, ...

    Text Solution

    |

  20. Let p ,q be integers and let alpha,beta be the roots of the equation, ...

    Text Solution

    |