Home
Class 12
MATHS
Show that the points A(1, 0), B(2, -7), ...

Show that the points `A(1, 0), B(2, -7), C(8, 1)` and `D(9,-6)` all lie on the same circle. Find the equation of this circle, its centre and radius.

Text Solution

Verified by Experts

The correct Answer is:
Hence, the point (9,-6) lies on the that is, the four points are concyclic.
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    ARIHANT MATHS|Exercise EXAMPLE|2 Videos
  • CIRCLE

    ARIHANT MATHS|Exercise Exercise For Session 1|18 Videos
  • BIONOMIAL THEOREM

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos
  • COMPLEX NUMBERS

    ARIHANT MATHS|Exercise Complex Number Exercise 8|3 Videos

Similar Questions

Explore conceptually related problems

Show that the four points (1, 0), (2,-7), (8, 1) and (9,- 6) are concyclic.

Find the equation of the circle whose centre is (-3, 2) and radius 4.

Show that the points (5, 5),(6, 4),(- 2, 4) and (7, 1) all lie on a circle. Find its equation, centre and radius.

Find the equation of the circle with the centre (1/2,1/4) and radius 1/2 .

In the following ,find the equation of the circle with:- centre (-2,3) and radius 4

In the following ,find the equation of the circle with:-centre (0,2) and radius 2

In the following ,find the equation of the circle with:- centre (1/2,1/4) and radius 1/12

In the following ,find the equation of the circle with:-centre (1,1) and radius sqrt2

Find the equations of the following circle : Centre (0, 2) and radius 2.

ARIHANT MATHS-CIRCLE -Exercise (Questions Asked In Previous 13 Years Exam)
  1. Show that the points A(1, 0), B(2, -7), C(8, 1) and D(9,-6) all lie on...

    Text Solution

    |

  2. Find the derivative of (a/x^4 - b/x^2 + cosx)

    Text Solution

    |

  3. If the circles x^2+y^2+2a x+c y+a=0 and points Pa n dQ , then find the...

    Text Solution

    |

  4. A circle touches the x-axis and also touches the circle with center (0...

    Text Solution

    |

  5. Find the derivative of (4x - 2)

    Text Solution

    |

  6. Let ABCD be a square of side length 2 units. C2 is the circle through ...

    Text Solution

    |

  7. ABCD is a square of side length 2 units. C(1) is the circle touching ...

    Text Solution

    |

  8. ABCD is a square of side length 2 units. C(1) is the circle touching ...

    Text Solution

    |

  9. If the lines 3x-4y-7=0 and 2x-3y-5=0 are two diameters of a circle of ...

    Text Solution

    |

  10. Let C be the circle with centre (0, 0) and radius 3 units. The equatio...

    Text Solution

    |

  11. Find the derivative of (ax + b)^n

    Text Solution

    |

  12. Consider a family of circles which are passing through the point (-1,1...

    Text Solution

    |

  13. A circle C of radius 1 is inscribed in an equilateral triangle PQR. Th...

    Text Solution

    |

  14. A circle C of radius 1 is inscribed in an equilateral triangle PQR. Th...

    Text Solution

    |

  15. A circle C of radius 1 is inscribed in an equilateral triangle PQR. Th...

    Text Solution

    |

  16. Consider: L1:2x+3y+p-3=0 L2:2x+3y+p+3=0 where p is a real number and...

    Text Solution

    |

  17. The point diametrically opposite to the point P(1, 0) on the circle x^...

    Text Solution

    |