Home
Class 12
MATHS
The range of values of lambda for which ...

The range of values of `lambda` for which the circles `x^(2)+y^(2)=4` and `x^(2)+y^(2)-4lambda x + 9 = 0` have two common tangents, is

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

the no.of possible integral values of m for which the circle x^(2)+y^(2)=4 and x^(2)+y^(2)-6x-8y+m^(2)=0 has exactly two common tangents are

If the cirles x^(2)+y^(2)=2 and x^(2)+y^(2)-4x-4y+lambda=0 have exactly three real common tangents then lambda=

The lengths of the common tangents of the circles x^(2)+y^(2)+4x=0 and x^(2)+y^(2)-6x=0 is

The value of lambda in order that the equations 2x^(2)+5 lambda x+2=0 and 4x^(2)+8 lambda x+3=0 have a common root is given by

The range of values of k in R so that the circles (x-k)^(2)+y^(2)=(k^(2))/(2) , x^(2)+(y-k)^(2)=k^(2)+k will have exactly 4 common tangents is given by

The range of values of k in R so that the circles (x-k)^(2)+y^(2)=(k^(2))/(2) , x^(2)+(y-k)^(2)=k^(2)+k will have exactly 4 common tangents is given by

The number of common tangents of the circles x^(2)+y^(2)+4x+1=0 and x^(2)+y^(2)-2y-7=0 , is

The value of lambda for which the circle x^(2)+y^(2)+2lambdax+6y+1=0 intersects the circle x^(2)+y^(2)+4x+2y=0 orthogonally, is

RESONANCE DPP-JEE MAINS-All Questions
  1. A die is rolled and showing any number is directly proportional to tha...

    Text Solution

    |

  2. Makes the following expressions free from modulus sign: (x in RR) |x^...

    Text Solution

    |

  3. The range of values of lambda for which the circles x^(2)+y^(2)=4 and ...

    Text Solution

    |

  4. f:RrarrR be twice differentiable function satisfying f^(")(x)-5f^(')...

    Text Solution

    |

  5. Make the following expressions free from modulus sign : (x in R) (...

    Text Solution

    |

  6. Let f(x) be a differentiable function such that f(x)=x^2 +int0^x e^-t ...

    Text Solution

    |

  7. let |{:(1+x,x,x^(2)),(x,1+x,x^(2)),(x^(2),x,1+x):}|=(1)/(6)(x-alpha(1)...

    Text Solution

    |

  8. The sum of first p -terms of a sequence is p(p+1)(p+2)dot the 10th ter...

    Text Solution

    |

  9. Lines whose equation are (x-3)/2=(y-2)/3=(z-1)/(lamda) and (x-2)/3=(y-...

    Text Solution

    |

  10. The solution set of the inequation 3^(72)(1/3)^x(1/3)^(sqrt(x))>1 is [...

    Text Solution

    |

  11. If the curves C1 : y= (In x)/x and C2 : y=lambdax^2 (where lambda is c...

    Text Solution

    |

  12. A die is rolled and showing any number is directly proportional to tha...

    Text Solution

    |

  13. If A=[{:(1,-1,1),(0,2,-3),(2,1,0):}] and B=(adjA) and C=5A, then find ...

    Text Solution

    |

  14. If the roots of the equation (x^2-b x)/(a x-c)=(m-1)/(m+1) are equal ...

    Text Solution

    |

  15. The value of ' a ' for which the sum of the squares of the roots of th...

    Text Solution

    |

  16. Lines whose equation are (x-3)/2=(y-2)/3=(z-1)/(lamda) and (x-2)/3=(y-...

    Text Solution

    |

  17. Let f(x)a n dg(x) be differentiable functions such that f^(prime)(x)g(...

    Text Solution

    |

  18. Let f(x) =4x^2-4ax+a^2-2a+2 be a quadratic polynomial in x,a be any re...

    Text Solution

    |

  19. Suppose that E1 and E2 are two events of a random experiment such that...

    Text Solution

    |

  20. If 1/3(log)3M+3(log)3N=1+(log)(0. 008)5, then M^9 9/N b. N^9=9/M c. M^...

    Text Solution

    |