Home
Class 12
MATHS
If the equations x^2+2x+3lambda=0a n d2x...

If the equations `x^2+2x+3lambda=0a n d2x^2+3x+5lambda=0` have a non-zero common roots, then `lambda=` `1` (b) `-1` (c) `3` (d) none of these

A

1

B

-1

C

3

D

none

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • THEORY OF QUADRATIC EQUATIONS

    ML KHANNA|Exercise Problem Set - 3 (True And False)|2 Videos
  • THEORY OF QUADRATIC EQUATIONS

    ML KHANNA|Exercise Problem Set - 3 (Fill In The Blanks)|2 Videos
  • THEORY OF QUADRATIC EQUATIONS

    ML KHANNA|Exercise Problem Set - 2 (Fill In The Blanks)|3 Videos
  • THE PARABOLA

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE (Assertion/ Reason)|1 Videos
  • TRIGONOMETRICAL EQUATIONS

    ML KHANNA|Exercise SELF ASSESSMENT TEST |27 Videos

Similar Questions

Explore conceptually related problems

If the equations x^(2)+2x+3 lambda=0 and 2x^(2)+3x+5 lambda=0 have a non-zero common roots,then lambda=1 (b) -1( c) 3( d) none of these

If x^(2)+x-1=0 and 2x^(2)-x+lambda=0 have a common root then

If the equations x^(2) + 2x -3=0 and x^(2) + 3x-m=0 have a common root, then the non- zero value of m.

If the equation 2x^(2)+3x+51=0 and x^(2)+2x+3 lambda=0 have a common root then lambda is equal to: a 0(b)-1(C)0,-1(d)2,-1:

The equation cos^(4)x-(lambda+2)cos^(2)x-(lambda+3)=0 have a real solution if

The system of equations 3x-2y+z=0,lambda x-14y+15z=0,x+2y-3z=0 has non- zero solution then lambda=

The equation (x^(2)-6x+8)+lambda (x^(2)-4x+3)=0, lambda in R has

If x^(2)+lambda x+1=0, lambda in (-2,2) and 4x^(2)+3x+2c=0 have common root then c+lambda, can be

If the equations 4x^(2)-x-1=0 and 3x^(2)+(lambda+mu)x+lambda-mu=0 have a root common, then the rational values of lambda and mu are

If the equation x^(2)+2(lambda+1)x+lambda^(2)+lambda+7=0 has only negative roots,then the least value of lambda equals

ML KHANNA-THEORY OF QUADRATIC EQUATIONS -Problem Set - 3
  1. If the expression x^(2) - 11x + a and x^(2) - 14 x + 2a have a common ...

    Text Solution

    |

  2. If the equations x^2+2x+3lambda=0a n d2x^2+3x+5lambda=0 have a non-zer...

    Text Solution

    |

  3. If A={x:f (x) =0} and B ={x: g(x) =0}," then "A cap B will be the set ...

    Text Solution

    |

  4. The quadratic equation x^(2) + (a^(2) - 2) x - 2a^(2) and x^(2) - 3x +...

    Text Solution

    |

  5. If the equation ax^(2)+bx+c=0 and cx^(2)+bx+a=0 a ne c, have negative ...

    Text Solution

    |

  6. The value of a so that the equations (2a-5) x^(2)-4x-15=0 and (3a-8) x...

    Text Solution

    |

  7. If the equations ax^(2)+bx+c=0 and x^(2)+x+1=0 have a common root, the...

    Text Solution

    |

  8. If the equations ax^(2)+bx+c=0 ,where a,b,c in R, a!=0 and x^(2)+2x+3=...

    Text Solution

    |

  9. If the equations x^(2) - ax + b = 0 and x^(2) + bx - a = 0 have a comm...

    Text Solution

    |

  10. If the quadratic equation x^(2) +ax +b =0 and x^(2) +bx +a =0 (a ne b...

    Text Solution

    |

  11. If p,q,r are three distinct real numbers, p ne 0 such that x^(2)+qx +p...

    Text Solution

    |

  12. If the quadratic equations, a x^2+2c x+b=0a n da x^2+2b x+c=0(b!=c) ha...

    Text Solution

    |

  13. If every pair from among the equations x^(2)+ax+bc=0, x^(2)+bx+ca=0 an...

    Text Solution

    |

  14. If the equations a x^2+b x+c=0a n dx^3+3x^2+3x+2=0 have two common roo...

    Text Solution

    |

  15. If the equation x^(3)+ax^(2)+b=0 (b ne 0) has a double root then

    Text Solution

    |

  16. If both the roots of k(6x^(2)+3)+rx+2x^(2)-1=0 and 6k(2x^(2)+1)+px+4x^...

    Text Solution

    |

  17. alpha(1),beta(1) are the roots of ax^(2)+bx+c=0 and alpha(2), beta(2) ...

    Text Solution

    |

  18. If a,b,c are in A.P. and if (b-c) x^(2)+(c-a) x+(a-b)=0 and 2 (c+a) x^...

    Text Solution

    |

  19. If a x^2+b x+c=0a n db x^2+c x+a=0 have a common root and a, b, and c ...

    Text Solution

    |

  20. If the equation x^(2)-px+q=0 and x^(2)-ax+b=0 have a comon root and th...

    Text Solution

    |