Home
Class 14
MATHS
Circle x^(2) + y^(2) - 8x + 4y + 4 = 0 ...

Circle ` x^(2) + y^(2) - 8x + 4y + 4 = 0 ` touches

A

Only the X-axis

B

Only the Y-axis

C

Both the axes

D

Neither of the axes .

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS |21 Videos
  • BINOMIAL THEOREM

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS|41 Videos
  • COMPLEX NUMBER

    PUNEET DOGRA|Exercise PREVIOUS YEAR QUESTIONS|87 Videos

Similar Questions

Explore conceptually related problems

If the circle x^(2) + y^(2) - kx - 12y + 4 = 0 touches the X-axis then : k =

The equation of the circle concentric with the circle x^(2) + y^(2) - 6x - 4y - 12 =0 and touching y axis

If the circumference of the circle x^(2) + y^(2) + 8x + 8y - b = 0 is bisected by the circle x^(2) + y^(2) - 2x + 4y + a = 0 , then a + b =

If radius of circle 2x^(2) + 2y^(2) - 8x + 4fy + 26 = 0 is 4, then f=

Let the equation of circle is x^(2) + y^(2) - 6x - 4y + 9 = 0 . Then the line 4x + 3y - 8 = 0 is a

(i) Find the equation of a circle , which is concentric with the circle x^(2) + y^(2) - 6x + 12y + 15 = 0 and of double its radius. (ii) Find the equation of a circle , which is concentric with the circle x^(2) + y^(2) - 2x - 4y + 1 = 0 and whose radius is 5. (iii) Find the equation of the cricle concentric with x^(2) + y^(2) - 4x - 6y - 3 = 0 and which touches the y-axis. (iv) find the equation of a circle passing through the centre of the circle x^(2) + y^(2) + 8x + 10y - 7 = 0 and concentric with the circle 2x^(2) + 2y^(2) - 8x - 12y - 9 = 0 . (v) Find the equation of the circle concentric with the circle x^(2) + y^(2) + 4x - 8y - 6 = 0 and having radius double of its radius.

Total number of lines touching atleast two circles of the family of four circles x^(2) + y^(2) +- 8x +- 8y = 0 is

The circle x ^(2) + y^(2) +4x -4y+4=0 touches

Equation of the circle concentric with the circle x^(2) + y^(2) + 8x + 10 y - 7 = 0 , and passing through the centre of the circle x^(2) + y^(2) - 4x - 6y = 0 ,is

PUNEET DOGRA-CIRCLE -PREV YEAR QUESTIONS
  1. Circle x^(2) + y^(2) - 8x + 4y + 4 = 0 touches

    Text Solution

    |

  2. The circle x^2 + y^2+ 4x-7y + 12 = 0 cuts an intercept on y-axis equal...

    Text Solution

    |

  3. If y-axis touches the cirle. x^(2) + y^(2) + gx + fy +c/4 = 0 then t...

    Text Solution

    |

  4. The equation of a circle whose end points of a diameter are (x(1) , y(...

    Text Solution

    |

  5. The equation of the circle which passes through the points (1,0) , (0,...

    Text Solution

    |

  6. The two circle x^(2) + y^(2) = r^(2) and x^(2) + y^(2) - 10 x + 16 = 0...

    Text Solution

    |

  7. What is the equation of the circle which passes through the points (3 ...

    Text Solution

    |

  8. What is the radius of the passing through the point (2 ,4) and having ...

    Text Solution

    |

  9. Consider the two circles (x-1)^(2) + (y-3)^(2) = r^(2) and x^(2) + y...

    Text Solution

    |

  10. Consider the two circles (x-1)^(2) + (y-3)^(2) = r^(2) and x^(2) + y^(...

    Text Solution

    |

  11. If a circle of radius b units with centre at (0,b) touches the line y...

    Text Solution

    |

  12. Consider a circle passing through the origin and the points (a, b) and...

    Text Solution

    |

  13. Consider a circle of passing through the origin and the points (a,b) ...

    Text Solution

    |

  14. A straight line x=y+2 touches the circle 4(x^2+y^2)=r^2 , The value of...

    Text Solution

    |

  15. If the centre of the circle passing through the origin is (3,4). th...

    Text Solution

    |

  16. Consider the circles x^(2) + y^(2) + 2ax + c = 0 and x^(2) + y^(2) + 2...

    Text Solution

    |

  17. Consider the circles x^(2) + y^(2) + 2ax + c = 0 and x^(2) + y^(2) + 2...

    Text Solution

    |

  18. The radius of the circle x^(2) + y^(2) + x + c = 0 passing through the...

    Text Solution

    |

  19. Which one of the following points lies inside a circle of radius 6 and...

    Text Solution

    |

  20. What is the radius of the circle touching x-axis at (3,0) and y-axis ...

    Text Solution

    |

  21. What is the equation to circle which touchs both the axes and has cen...

    Text Solution

    |