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

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

lf the circle x^(2)+y^(2)=2 and x^(2)+y^(2)-4x-4y+lamda=0 have exactly three real common tangents then lamda=

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

A common tangent to the circles x^(2)+y^(2)=4 and (x-3)^(2)+y^(2)=1 , is

The number of common tangents of the circles x^(2) +y^(2) =16 and x^(2) +y^(2) -2y = 0 is :

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

If the two circles x^(2) + y^(2) =4 and x^(2) +y^(2) - 24x - 10y +a^(2) =0, a in I , have exactly two common tangents then the number of possible integral values of a is : A. 0 B. 2 C. 11 D. 13

The value of lambda for which the equation x^2-y^2 - x - lambda y - 2 = 0 represent a pair of straight line, are

Find the transverse common tangents of the circles x^(2) + y^(2) -4x -10y + 28 = 0 and x^(2) + y^(2) + 4x - 6y + 4= 0.

Find the number of common tangents to the circle x^2 +y^2=4 and x^2+y^2−6x−8y−24=0

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

    Text Solution

    |

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

    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:RtoR be a differentiable function such that f(x)=x^(2)+int(0)^(x...

    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)/(...

    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. Find the value of a for which the sum of the squares of the roots of t...

    Text Solution

    |

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

    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 such that minimum value fo the...

    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

    Text Solution

    |