Home
Class 11
MATHS
If the equations x^2+2x+3lambda=0 and 2x...

If the equations `x^2+2x+3lambda=0` and `2x^2+3x+5lambda=0` have a non-zero common roots, then `lambda=`

A

`1`

B

`-1`

C

`3`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    RD SHARMA ENGLISH|Exercise All Questions|290 Videos

  • RELATIONS

    RD SHARMA ENGLISH|Exercise All Questions|130 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 = (a)1 (b)-1 (c)3 (d)None of these

If the equation 4x^2-x-1=0 and 3x^2+(lambda+mu)x+lambda-mu=0 have a root common, then the irrational values of lambda and mu are (a) lambda=(-3)/4 b. lambda=0 c. mu=3/4 b. mu=0

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__________.

If the equation |x^2-5x + 6|-lambda x+7 lambda=0 has exactly 3 distinct solutions then lambda is equal to

If the equation 3x^2 + 3y^2 + 6lambdax + 2lambda = 0 represents a circle, then the value of lambda . lies in

If the equation (x^(2))/( 3 - lambda) + (y^(2))/(lambda - 8) + 1 = 0 represents an ellipse, then (i) lambda lt 8 (ii) lambda gt 3 (iii) 3 lt lambda lt 8 (iv) lambda lt 3" or "lambda gt 8

If the equation x^(3)-6x^(2)+9x+lambda=0 has exactly one root in (1, 3), then lambda belongs to the interval

If the equation x^(2)+y^(2)+6x-2y+(lambda^(2)+3lambda+12)=0 represent a circle. Then

IF the equations x^(3) + 5x^(2) + px + q = 0 and x^(3) + 7x^(2) + px + r = 0 have two roots in common, then the product of two non-common roots of two equations, is

If one root of the equation 3x^(2)-5x+lambda=0 is the reciprocal of the other, then the value of lambda is

RD SHARMA ENGLISH-QUADRATIC EQUATIONS-All Questions
  1. If x is real and k=(x^2-x+1)/(x^2+x+1) , then k in [1/3,3] (b) kgeq3 ...

    Text Solution

    |

  2. The one root of the equation x^2+p x+12=0 is 4, while the equation x^2...

    Text Solution

    |

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

    Text Solution

    |

  4. Solve the quadratic equations by using the general expressions for t...

    Text Solution

    |

  5. Write the number of real roots of the equation (x-1)^2+(x+2)^2+(x-3)^2...

    Text Solution

    |

  6. Solve: x^2-(7-i)x+(18-i)=0ov e rCdot

    Text Solution

    |

  7. If alpha,beta are roots of the equation x^2-a(xx+1)-c=0, then write th...

    Text Solution

    |

  8. Write the roots of the equation (a-b)x^2+(b-c)x+(c-a)=0.

    Text Solution

    |

  9. The least value of k which makes the roots of the equation x^2+5x+k=0...

    Text Solution

    |

  10. If alpha,beta are the roots of the equation x^2+p x+q=0,t h e n-1/alph...

    Text Solution

    |

  11. Solve the equation 9x^2-12 x+20=0 by factorization method only.

    Text Solution

    |

  12. The set of all values of m for which both the roots of the equation x...

    Text Solution

    |

  13. Solve the following quadratic equations by factorization method: x^2-...

    Text Solution

    |

  14. Solve the equation 25 x^2-30 x+11=0 by using the general expression fo...

    Text Solution

    |

  15. Solve: 2x^2-(3+7i)x-(3-9i)=0

    Text Solution

    |

  16. The value of k for which the quadratic equation k x^2+1=k x+3x-11 x^2...

    Text Solution

    |

  17. The value of a such that x^2-11 x+a=0 and x^2-14 x+2a=0 may have a com...

    Text Solution

    |

  18. If the roots of x^2-b x+c=0 are two consecutive integers, then b^2-4c ...

    Text Solution

    |

  19. Solve the equation 4x^2+9=0 by factorization method.

    Text Solution

    |

  20. Solve the equation x^2-4x+13=0 by factorization method.

    Text Solution

    |