Home
Class 12
MATHS
The number of integer values of k for wh...

The number of integer values of k for which the equation `x^2 +y^2+(k-1)x-ky+5=0` represents a circle whose radius cannot exceed 3 is

A

10

B

11

C

4

D

5

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. AIEEE/JEE MAIN PAPERS|56 Videos

  • CARTESIAN SYSTEM OF RECTANGULAR COORDINATES AND STRAIGHT LINES

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B - ARCHITECTURE (ENTRANCE EXAMINATION PAPERS)|14 Videos

  • COMPLEX NUMBERS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPER|17 Videos

Similar Questions

Explore conceptually related problems

The number of integer values of k for which the equation x^(2)+y^(2)+(k-1)x-ky+5=0 represents a circle whose radius cannot exceed 3is

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

The number of integer values of k, for which the equation 2 sin x =2k+1 has a solution, is

The value of k for which the equation 2x^2+5y^2-2ky+4x+6y=0 represent the pair of straight lines is

The set of real values of k for which the equation (k+1)x^(2)+2(k-1)xy+y^(2)-2x+2y+3=0 represents an ellipse 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 x^2+y^2+(1+lambda)x+(1-lambda)y+3=0 is the equation of circle whose radius cannot exceed '1' 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

MCGROW HILL PUBLICATION-CIRCLES AND SYSTEMS OF CIRCLES -QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS
  1. The line x sin alpha - y cos alpha =a touches the circle x ^(2) +y ^(...

    Text Solution

    |

  2. If a circle of area 16pi has two of its diameters along the line 2x -...

    Text Solution

    |

  3. The circle passing through (t,1), (1,t) and (t,t) for all values of t ...

    Text Solution

    |

  4. The value of k for which the circle x ^(2) +y ^(2) - 4x + 6y + 3=0 wil...

    Text Solution

    |

  5. If the point (2,k) lies outside the circles x^2+y^2+x+x-2y-14=0a n dx^...

    Text Solution

    |

  6. The shortest distance between the circles x ^(2) + y ^(2) =1 and (x-9)...

    Text Solution

    |

  7. Find the parametric equations of the circles x^(2)+y^(2)=16.

    Text Solution

    |

  8. The circle x^2 + y^2 - 6x - 10y + p = 0 does not touch or intersect th...

    Text Solution

    |

  9. The equation of a circle of area 22pi square units for which each of t...

    Text Solution

    |

  10. If a chord of a circle x ^(2) +y ^(2) =4 with one extermity at (1, sqr...

    Text Solution

    |

  11. Consider L (1) : 3x + y + alpha -2 =0 and L (2) : 3 x + y -alpha + 3 =...

    Text Solution

    |

  12. If a circle has two of its diameters along the lines x+y=5 and x-y=1 a...

    Text Solution

    |

  13. The number of integer values of k for which the equation x^2 +y^2+(k-1...

    Text Solution

    |

  14. If the straight line ax + by = 2 ; a, b!=0, touches the circle x^2 +y^...

    Text Solution

    |

  15. The equation of a circle, which is mirror change of the circle x ^(2) ...

    Text Solution

    |

  16. Two parallel chords are drawn on the same side of the centre of a circ...

    Text Solution

    |

  17. Let C be the circle whose diameter is the line segment formed by the l...

    Text Solution

    |