Home
Class 12
MATHS
Find the number of integral values of la...

Find the number of integral values of `lambda` for which `x^2+y^2+lambdax+(1-lambda)y+5=0` is the equation of a circle whose radius does not exceed 5.

A

14

B

18

C

16

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|15 Videos
  • CIRCLE

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|21 Videos
  • CIRCLE

    ARIHANT MATHS|Exercise Exercise For Session 7|18 Videos
  • BIONOMIAL THEOREM

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos
  • COMPLEX NUMBERS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|43 Videos

Similar Questions

Explore conceptually related problems

The number of integral values of lambda for which x^2+y^2+(1+lambda)x+(1-lambda)y+3=0 is the equation of circle whose radius cannot exceed '1' is ____

Number of integral values of lambda for which x^(2)+y^(2)+7x+(1-lambda)y+5=0 represents the equation of a circle whose radius cannot exceed 5 is

The number of integral values of lambda for which the equation x^(2)+y^(2)+lambda x+(1-lambda)y+5=0 is the equation fo a circle whose radius cannot exceed 5, is 14 (b) 18 (c) 16 (d) none of these

The number of integral values of lambda for which the equation x^(2)+y^(2)-2lambdax+2lambday+14=0 represents a circle whose radius cannot exceed 6, is

Find the number of integral values of lambda, for which equation 4cos x+3sin x=2 lambda+1 has a solution.

If 2x^(2)+lambda xy^(+)2y^(2)+(lambda-4)x+6y-5=0 is the equation of a circle,then its radius is :

ARIHANT MATHS-CIRCLE -Exercise (Single Option Correct Type Questions)
  1. If (1+ax)^n = 1 + 8x + 24x^2 + … and a line through (a, n) cuts the ci...

    Text Solution

    |

  2. A region in the x-y plane is bounded by the curve y=sqrt(25-x^2) and t...

    Text Solution

    |

  3. S(x,y)=0 represents a circle. The equation S(x,2)=0 gives two identica...

    Text Solution

    |

  4. Let 0 lt alpha lt (pi)/(2) be a fixed angle . If p=(costheta, sin the...

    Text Solution

    |

  5. Find the number of point (x ,y) having integral coordinates satisfying...

    Text Solution

    |

  6. The point ( [P + 1] , [P] ) (where [.] denotes the greatest integer fu...

    Text Solution

    |

  7. A point Plies inside the circles x^2+y^2-4=0 and x^2+y^2-8x+7=0. The...

    Text Solution

    |

  8. The set of values of 'c' so that the equations y=|x|+c andx^(2)+y^(2)-...

    Text Solution

    |

  9. If a line segement A M=a moves in the plane X O Y remaining parallel t...

    Text Solution

    |

  10. Show that the four points of intersection of the lines : (2x-y + 1) (x...

    Text Solution

    |

  11. Find the number of integral values of lambda for which x^2+y^2+lambdax...

    Text Solution

    |

  12. Let phi(x,y)=0 be the equation of a circle. If phi(0,lamda)=0 has equa...

    Text Solution

    |

  13. Find the locus of the point of intersection of tangents to the circle ...

    Text Solution

    |

  14. One of the diameter of a circle circumscribing the rectangle ABCD is 4...

    Text Solution

    |

  15. A, B C and D are the points of intersection with the coordinate axes o...

    Text Solution

    |

  16. alpha,beta and gamma are parametric angles of three points P, Q and R ...

    Text Solution

    |

  17. The equation of the circle passing through (2,0) and (0,4) and having ...

    Text Solution

    |

  18. A circle of radius unity is centered at thet origin. Two particles tar...

    Text Solution

    |

  19. The circle x^2+y^2=4 cuts the line joining the points A(1, 0) and B(3,...

    Text Solution

    |

  20. The locus of the mid points of the chords of the circle x^2+y^2+4x-6y-...

    Text Solution

    |