Home
Class 12
MATHS
The equation of the circle passing throu...

The equation of the circle passing through (4, 5) having the centre (2, 2), is

A

`x^(2)+y^(2)+4x+4y-5=0`

B

`x^(2)+y^(2)-4x-4y-5=0`

C

`x^(2)+y^(2)-4x-13=0`

D

`x^(2)+y^(2)-4x-4y+5=0`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    OBJECTIVE RD SHARMA|Exercise Chapter Test|55 Videos
  • CIRCLES

    OBJECTIVE RD SHARMA|Exercise Section II - Assertion Reason Type|12 Videos
  • CARTESIAN PRODUCT OF SETS AND RELATIONS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|31 Videos
  • COMPLEX NUMBERS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|59 Videos

Similar Questions

Explore conceptually related problems

Write the area of the circle passing through (-2,6) and having its centre at (1,2).

Find the area of the circle passing through (-2,3) with centre (5,2) .

Find the equation of the circle passing through the point (2, 4) and centre at the point of intersection of the lines x-y=4 and 2x+3y=-7 .

Find the equation of the circle passing through the point (-1,3) and having its centre at the point of intersection of the lines x-2y=4 and 2x+5y+1=0

Find the equation of the circles passing through the three points : (1, -2), (5, 4) and (10, 5)

Find the equation of the circle passing through the point (2, 4 ) and having its centre at the intersection of the lines x - y = 4 and 2x + 3y + 7 = 0 .

OBJECTIVE RD SHARMA-CIRCLES-Exercise
  1. The area of the circle centred at (1,2) and passing through (4,6) is

    Text Solution

    |

  2. For the equation ax^(2) +by^(2) + 2hxy + 2gx + 2fy + c =0 where a n...

    Text Solution

    |

  3. The equation of the circle passing through (4, 5) having the centre (2...

    Text Solution

    |

  4. Locus of centre of a circle of radius 2, which rolls on the outside of...

    Text Solution

    |

  5. Four distinct points (2k,3k) , (1,0), (0,1) and (0,0) lies on a circl...

    Text Solution

    |

  6. A square is inscribed in the circle x^2+y^2-2x+4y-93=0 with its sides ...

    Text Solution

    |

  7. A line is drawn through a fix point P(alpha, beta) to cut the circle x...

    Text Solution

    |

  8. The equation of circles passing through (3, -6) touching both the axes...

    Text Solution

    |

  9. The centre of a circle passing through the points (0, 0), (1, 0) and t...

    Text Solution

    |

  10. If 2x-4y=9 and 6x-12y+7=0 are parallel tangents to circle, then radiu...

    Text Solution

    |

  11. One of the diameters of the circle x^2+y^2-12x+4y+6=0 is given by

    Text Solution

    |

  12. The length of the chord cut off by y=2x+1 from the circle x^2+y^...

    Text Solution

    |

  13. Area of the circle in which a chord of lengthsqrt2 makes an angle pi/2...

    Text Solution

    |

  14. The coordinates of the middle point of the chord cut-off by 2x-5y+18=0...

    Text Solution

    |

  15. Find the equation of the circle which passes through the points (1,-2)...

    Text Solution

    |

  16. If the lines 3x-4y-7 = 0 and 2x-3y-5=0 are two diameters of a circle o...

    Text Solution

    |

  17. Equation of the circle with centre on the y-axis and passing through t...

    Text Solution

    |

  18. If the lines a1x+b1y+c1=0 and a2x+b2y+c2=0 cut the coordinae axes at c...

    Text Solution

    |

  19. If a circle passes through the points of intersection of the coordinat...

    Text Solution

    |

  20. ABCD is a square in first quadrant whose side is a, taking AB and AD a...

    Text Solution

    |