Home
Class 11
MATHS
Find the equation of the circle which pa...

Find the equation of the circle which passes through (1, 0) and (0, 1) and has its radius as small as possible.

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE PUBLICATION|Exercise All Questions|877 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

Find the equation of a sphere which passes through (1,0,0)(0,1,0)a n d(0,0,1), and has radius as small as possible.

The equation of the circle passing through (2, 0) & (0, 4) and having the minimum radius is

The equation of the circle passes through the point (0, 4), (0, 0) and (3, 0) is

Find the equation of the circle with centre at (0,0) and radius r .

Find the equation of the sphere which passes through (1,0,0),(0,1,0) and (0,0,1) and whose centre lies on the plane 3x-y+z=2.

Find the equation of a circle which passes through (0, -3) and (3, -4) and the centre lies on the straight line 2x - 5y + 12 = 0.

Find the radius of the circle passing through (6,0), (0,8) and origin .

Find the equation of the circle passing through (6, -5) and having centre at (3, -1).

Find the equation to the circle which passes through the point (2,-2),(3,4) and has its centre on the line 2x+2y=7. Find the centre and radius.

Find the equation of the circle which passes through (1, 1) and cuts orthogonally each of the circles x^2 + y^2 - 8x - 2y + 16 = 0 and x^2 + y^2 - 4x -4y -1 = 0

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. A variable circle passes through the point A(a, b) and touches the x-a...

    Text Solution

    |

  2. Find the equation of the circle if the chord of the circle joining (1,...

    Text Solution

    |

  3. Find the equation of the circle which passes through (1, 0) and (0, 1)...

    Text Solution

    |

  4. Tangents are drawn from the origin to the circle x^2+y^2-2h x-2h y+h^2...

    Text Solution

    |

  5. Let A (-2,2)and B (2,-2) be two points AB subtends an angle of 45^@ at...

    Text Solution

    |

  6. Consider the family of circles x^2+y^2-2x-2lambday-8=0 passing throug...

    Text Solution

    |

  7. If a circle passes through the point (0,0),(a ,0)a n d(0, b) , then fi...

    Text Solution

    |

  8. The line 3x+6y=k intersects the curve 2x^2+3y^2=1 at points A and B . ...

    Text Solution

    |

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

    Text Solution

    |

  10. If x , y in R satisfies (x+5)^2+(y-12)^2=(14)^2, then the minimum val...

    Text Solution

    |

  11. Show that a cyclic quadrilateral is formed by the lines 5x+3y=9,x=3y ,...

    Text Solution

    |

  12. A circle x^2+y^2+4x-2sqrt(2)y+c=0 is the director circle of the circle...

    Text Solution

    |

  13. A point P moves in such a way that the ratio of its distance from two ...

    Text Solution

    |

  14. The sum of the slopes of the lines tangent to both the circles x^2+y^2...

    Text Solution

    |

  15. Prove that the maximum number of points with rational coordinates on a...

    Text Solution

    |

  16. Let C1 and C2 are circles defined by x^2+y^2 -20x+64=0 and x^2+y^2+...

    Text Solution

    |

  17. Prove that for all values of theta , the locus of the point of interse...

    Text Solution

    |

  18. The chord of contact of tangents from a point P to a circle passes thr...

    Text Solution

    |

  19. Find the length of the chord x^2+y^2-4y=0 along the line x+y=1. Also f...

    Text Solution

    |

  20. The chords of contact of tangents from three points A ,Ba n dC to the ...

    Text Solution

    |