Home
Class 12
MATHS
Show that the equation of the circle pas...

Show that the equation of the circle passing through (1, 1) and the points of intersection of the circles `x^2+y^2+13 x-13 y=0` and `2x^2+2y^2+4x-7y-25=0` is `4x^2+4y^2+30 x-13 y-25=0.`

A

`4x^(2)+4y^(2)-30x-10y-25=0`

B

`4x^(2)+4y^(2)+30x-13y-25=0`

C

`4x^(2)+4y^(2)-17x-10y+25=0`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|53 Videos

  • CIRCLES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|12 Videos

  • CARTESIAN PRODUCT OF SETS AND RELATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

  • COMPLEX NUMBERS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|58 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the circle passing throught (1,1) and the points of intersection of the circles x^(2)+y^(2)+13x-3y=0 and 2x^(2)+2y^(2)+4x-7y-25=0

The equation of the circle passing through (1,2) and the points of intersection of the circles x^2+y^2-8x-6y+21=0 and x^2+y^2-2x-15=0 is

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 point of intersection of the circle x^2+y^2-3x-4y+2=0 with the x-axis.

Find the equation of the circle passing through the points of intersections of circles x^2+y^2+6x+4y-12=0, x^2+y^2-4x-6y-12=0 , and having radius sqrt13 .

Find the equation of the circle passing through the points of intersection of the circles x^2 + y^2 - 2x - 4y - 4 = 0 and x^2 + y^2 - 10x - 12y +40 = 0 and whose radius is 4.

The equation of the circle having centre (0, 0) and passing through the point of intersection of the lines 4x + 3y = 2 and x + 2y = 3 is

The locus of the centre of the circle passing through the intersection of the circles x^2+y^2= 1 and x^2 + y^2-2x+y=0 is

Show that the equation of a line passing through the point (11,-2) and touching the circle x^(2)+y^(2)=25 is 3x+4y=25 .

Find the equation of the circle passing through the point of intersection of the circles x^2 + y^2 - 6x + 2y + 4 = 0, x^2 + y^2 + 2x - 4y -6 = 0 and with its centre on the line y = x.

OBJECTIVE RD SHARMA ENGLISH-CIRCLES-Exercise
  1. If the equation of a given circle is x^2+y^2=36 , then the length of t...

    Text Solution

    |

  2. Find the angle which the common chord of x^2+y^2-4x-4y=0 and x^2+y^2=1...

    Text Solution

    |

  3. Show that the equation of the circle passing through (1, 1) and the ...

    Text Solution

    |

  4. The tangents to x^2+y^2=a^2 having inclinations alpha and beta interse...

    Text Solution

    |

  5. Find the equation of a circle with center (4, 3) touching the circle x...

    Text Solution

    |

  6. Find the number of common tangents that can be drawn to the circles...

    Text Solution

    |

  7. If 3x+y=0 is a tangent to a circle whose center is (2,-1) , then find ...

    Text Solution

    |

  8. Find the condition if the circle whose equations are x^2+y^2+c^2=2a x ...

    Text Solution

    |

  9. about to only mathematics

    Text Solution

    |

  10. The condition that the chord xcosalpha+ysinalpha-p=0 of x^2+y^2-a^2=0 ...

    Text Solution

    |

  11. The locus of the centres of the circles which touch x^2+y^2=a^2 and x^...

    Text Solution

    |

  12. Let P be a point on the circle x^2+y^2=9,Q a point on the line 7x+y+3=...

    Text Solution

    |

  13. Two lines through (2, 3) from which the circle x^2+y^2 =25 intercepts ...

    Text Solution

    |

  14. A line meets the coordinate axes at A and B . A circle is circumscribe...

    Text Solution

    |

  15. Find the co-ordinate of the point on the circle x^2+y^2-12x-4y +30=0, ...

    Text Solution

    |

  16. If the angle of intersection of the circle x^2+y^2+x+y=0 and x^2+y^2+x...

    Text Solution

    |

  17. Find the equation of the circle whose radius is 5a n d which touches t...

    Text Solution

    |

  18. If AB is a diameter of a circle and C is any point on the circle, then...

    Text Solution

    |

  19. The locus of the midpoint of a chord of the circle x^2+y^2=4 which sub...

    Text Solution

    |

  20. The point of which the line 9x + y - 28 = 0 is the chord of contact of...

    Text Solution

    |