Home
Class 11
MATHS
If a circle passes through the point (0,...

If a circle passes through the point `(0,0),(a ,0)a n d(0, b)` , then find its center.

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

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

Find the equation of the circle which passes through the points (3,-2)a n d(-2,0) and the center lies on the line 2x-y=3

The centre of a circle passing through the points (0,0),(1,0)and touching the circle x^2+y^2=9 is

Find the equation of the parabola which has axis parallel to the y-axis and which passes through the points (0,2),(-1,0),a n d(1,6)dot

A circle passes through the points (-3, 4), (1, 0) and its centre lies on the x-axis. Find the equation of the circle.

A circle passes through the points A(1,0) and B(5,0), and touches the y-axis at C(0,h)dot . If /_A C B is maximum, then (a) h=3sqrt(5) (b) h=2sqrt(5) (c) h=sqrt(5) (d) h=2sqrt(10)

Find the equation of the circle passing through the points (2,3) and (-1,-1) and whose centre is on the line x-3y-11=0.

Prove that the circle of centre (4,3) passes through the points (0,0) (8,0) (1,7) and (1,-1) . Find also the radius of the circle.

3x + y = 5 and x+y+1 = 0 are two diameters to the circle which passes through the point (-2, 2). Find its equation. Also find the radius of the circle.

Find the equation of each of the circles passing through the points : (0, 0), (1, 2), (2, 0)

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. Let A (-2,2)and B (2,-2) be two points AB subtends an angle of 45^@ at...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  17. Tangents are drawn to the circle x^2+y^2=a^2 from two points on the ax...

    Text Solution

    |

  18. The common chord of the circle x^2+y^2+6x+8y-7=0 and a circle passing ...

    Text Solution

    |

  19. P is the variable point on the circle with center at C. C A and C B ar...

    Text Solution

    |

  20. If the angle between the tangents drawn to x^2+y^2+2gx+2fy+c=0 from (0...

    Text Solution

    |