Home
Class 11
MATHS
Equation of circle through (5,0) , two o...

Equation of circle through (5,0) , two of whose diameters
are x + 2y = 7 and 3x - y = 0 , is

A

`x^(2) + y^(2) - 2x - 6y - 15 = 0 `

B

`x^(2) + y^(2) + 2x + 6y - 35 = 0 `

C

`x^(2) + y^(2) + 2x - 6y - 35 = 0 `

D

`x^(2) + y^(2) - 6x - 2y - 16 = 0`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • CIRCLE AND CONICS

    MARVEL PUBLICATION|Exercise MISCELLANEOUS MCQs|50 Videos

  • CIRCLE AND CONICS

    MARVEL PUBLICATION|Exercise MISCELLANEOUS MCQs|50 Videos

  • BERNOULLI TRIALS AND BINOMIAL DISTRIBUTION

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|79 Videos

  • PROBABILITY

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|239 Videos

Similar Questions

Explore conceptually related problems

Find the equation of a circle, the equation of whose two diameters are x + y = 6 and 3x +4y =16 and radius is 10.

Equation of circle of area 154 sq. units , two of whose diameters are 2x - 3y + 12 = 0 " and " x + 4y - 5 = 0 , is

Find the equation of a hyperbola whose asymptotes are 2x - y- 3 = 0 and 3x + y - 7 = 0 and which pass through (1, 1).

Find the equation of the circle passing through the vertices of the triangle whose sides are : x - y = 0 , 3x + 2y = 5 and x + 2y = 5 .

If a circle of area 16pi has two of its diameters along the line 2x - 3y + 5=0 and x + 3y - 11=0, then the equation of the circle is

Find the equation of a circle, the co-ordinates of the ends of whose diameter are (-1,-3) and (2,5) Now the equation of circle (x-x_(1))(x-x_(2))+(y-y_(1))(y-y_(2))=0 rArr(x+1)(x-2)+(y+3)(y-5)=0 rArr x^(2)-x-2+ y^(2)-2y-15=0 rArr x^(2)+y^(2)-x-2y-17=0 We is the required equation.

Find the equation of the line through the intersection of lines 3x+4y=7 and x-y+2=0 and whose slope is 5.

Find the equation of line through the intersection of lines 3x+4y=7 and x-y+2=0 and whose slope is 5.

MARVEL PUBLICATION-CIRCLE AND CONICS -MULTIPLE CHOICE QUESTIONS
  1. Equation of circle of radius 5, touching both co-ordinate axes , an...

    Text Solution

    |

  2. Equation of circle of area 154 sq. units , two of whose diameters a...

    Text Solution

    |

  3. Equation of circle through (5,0) , two of whose diameters are x + 2...

    Text Solution

    |

  4. Equation of circle having radius 5, and touching X-axis at (-1,0), is

    Text Solution

    |

  5. Equation of circle throught origin, having radius 5 and abscissa of ce...

    Text Solution

    |

  6. Centre and radius of circle 2x^(2) + 2y^(2) - 6x + 4y - 3 = 0 are

    Text Solution

    |

  7. Equation of circle of area 616 sq. units , concentric with circle ...

    Text Solution

    |

  8. Equation of circle of circumference 14 pi units , concentric with...

    Text Solution

    |

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

    Text Solution

    |

  10. Lengths of intercepts made by circle x^(2) + y^(2) + x - 4y - 12 =...

    Text Solution

    |

  11. Lengths of intercepts by circle x^(2) + y^(2) - 6x + 4y - 12 = 0 "...

    Text Solution

    |

  12. Two circles x^(2) + y^(2) - 4x + 10y + 20 = 0 and x^(2) + y^(2)...

    Text Solution

    |

  13. Two circles x^(2) + y^(2) = 25 and 2x^(2) + 2y^(2) - 2x + y = 0

    Text Solution

    |

  14. If circles x^(2) + y^(2) + 2gx + 2fy + c = 0 and x^(2) + y^(2) + ...

    Text Solution

    |

  15. If circles x^(2) + y^(2) + 2gx + 2fy + e = 0 and x^(2) + y^(2) + ...

    Text Solution

    |

  16. If the two circle x^(2) + y^(2) - 10 x - 14y + k = 0 and x^(2...

    Text Solution

    |

  17. If two circles x^(2) + y^(2) - 2ax + c = =0 and x^(2) + y^(2) - ...

    Text Solution

    |

  18. If the circle x^2 + y^2 = a^2 cuts off a chord of length 2b from the l...

    Text Solution

    |

  19. What is the equation of circle which touches the lines x = 0 , y = 0 ...

    Text Solution

    |

  20. Equation of diameter of circle (x -5) (x - 7) (y -1) = 0 , paral...

    Text Solution

    |