Home
Class 12
MATHS
The equation of the circle having centre...

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

A

`x^(2) + y^(2) = sqrt(5)`

B

`x^(2) + y^(2) = 5`

C

`x^(2) + y^(2) = 4`

D

`x^(2) + y^(2) = 2`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise SECTION-B|121 Videos

  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise SECTION-C ( Objective Type Questions ( More than one answer))|1 Videos

  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise Try ypurself|42 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE|Exercise section-J (Aakash Challengers Qestions)|16 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE|Exercise section - J|6 Videos

Similar Questions

Explore conceptually related problems

The equation of the circle having its centre on the line x+2y-3=0 and passing through the points of intersection of the circles x^(2)+y^(2)-2x-4y+1=0 and x^(2)+y^(2)-4x-2y+4=0 is

The equation of the circle having its centre on the line x+2y-3=0 and passing through the points of intersection of the circles x^(2)+y^(2)-2x-4y+1=0andx^(2)+y^(2)-4x-2y+4=0 is x^(2)+y^(2)-6x+7=0x^(2)+y^(2)-3y+4=0 c.x^(2)+y^(2)-2x-2y+1=0x^(2)+y^(2)+2x-4y+4=0

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 .

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 of intersection of the lines x+3y=0 and 2x-7y=0 and whose centre is the point of intersection of the lines x+y+1=0 and x-2y+4=0

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

AAKASH INSTITUTE-CONIC SECTIONS-Assignment (SECTION - A)
  1. The equation of the circle passing through (0, 0) and making intercept...

    Text Solution

    |

  2. If 'P' is any point on the circumference of the circle x^(2) + y^(2) -...

    Text Solution

    |

  3. The equation of the circle having centre (0, 0) and passing through th...

    Text Solution

    |

  4. The equation of the circle which passes through the point (3, 4) and h...

    Text Solution

    |

  5. If the lines 3x + y = 11 and x - y = 1 are the diameters of a circle ...

    Text Solution

    |

  6. The point (2, 4) lies inside the circle x^(2) + y^(2) = 16. The above ...

    Text Solution

    |

  7. The equation of the parabola with focus (3, 0) and directrix y = -3 is

    Text Solution

    |

  8. The equation of the parabola with vertex at (0, 0) and focus at (0, 4)...

    Text Solution

    |

  9. The equation of the directrix of the parabola x^(2) = 8y is

    Text Solution

    |

  10. The co-ordinate of the focus of the parabola y^(2) = 24x is

    Text Solution

    |

  11. If x^(2) = 20y represents a parabola, then the distance of the focus f...

    Text Solution

    |

  12. The length of the latus rectum of the parabola x^(2) = -28y is

    Text Solution

    |

  13. If the parabola y^(2) = 4ax passes through the point (4, 1), then the...

    Text Solution

    |

  14. In the given figure, the area of the triangleOAF is

    Text Solution

    |

  15. Find the area of the triangle formed by the lines joining the vertex o...

    Text Solution

    |

  16. The focal distance of a point on the parabola y^2=12 xi s4. Find the a...

    Text Solution

    |

  17. The area of the triangle formed by the lines joining the focus of the ...

    Text Solution

    |

  18. The equation of the set of all points which are equidistant from the p...

    Text Solution

    |

  19. The length of the major axis and minor axis of 9x^(2) + y^(2) = 36 res...

    Text Solution

    |

  20. The co-ordinates of the vertices of the ellipse (X^(2))/(16) + (y^(2))...

    Text Solution

    |