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 ENGLISH|Exercise Exercise (More Than One Correct Option Type Questions)|15 Videos

  • CIRCLE

    ARIHANT MATHS ENGLISH|Exercise Exercise (Passage Based Questions)|21 Videos

  • CIRCLE

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 7|18 Videos

  • BIONOMIAL THEOREM

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos

  • COMPLEX NUMBERS

    ARIHANT MATHS ENGLISH|Exercise Complex Number Exercise 8|2 Videos

Similar Questions

Explore conceptually related problems

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

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)-2lambdax+2lambday+14=0 represents a circle whose radius cannot exceed 6, is

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

If 3x^(2)+2lambda xy + 3y^(2)+(6-lambda)x+(2lambda-6)y-21=0 is the equation of a circle, then its radius is

The least integral value of lambda for which the expression (lambdax^(2)-4x+3lambda+1) is positive for all x in R,is

2x^2 +2y^2 +4 lambda x+lambda =0 represents a circle for

Find the range of values of lambda for which the point (lambda,-1) is exterior to both the parabolas y^2=|x|dot

Find the range of values of lambda for which the point (lambda,-1) is exterior to both the parabolas y^2=|x|dot

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

    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 identi...

    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 in...

    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 f(x,y)=0 be the equation of a circle. If f(0,lamda)=0 has equal ro...

    Text Solution

    |

  13. about to only mathematics

    Text Solution

    |

  14. about to only mathematics

    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. about to only mathematics

    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

    |