Home
Class 10
MATHS
Points A(-1, y) and B(5, 7) lie on a ci...

Points A(-1, y) and B(5, 7) lie on a circle with centre O(2, -3y) . Find the values of y. Hence, find the radius of the circle.

Text Solution

Verified by Experts

The correct Answer is:
y=-1 or 7 radius =5 , `sqrt(793)`
Promotional Banner

Topper's Solved these Questions

  • COORDINATE GEOMETRY

    VK GLOBAL PUBLICATION|Exercise PROFICIENCY EXERCISE ( Long Answer Questions )|18 Videos
  • COORDINATE GEOMETRY

    VK GLOBAL PUBLICATION|Exercise SELF-ASSESSMENT TEST|10 Videos
  • COORDINATE GEOMETRY

    VK GLOBAL PUBLICATION|Exercise PROFICIENCY EXERCISE (Very Short Answer Questions)|12 Videos
  • CIRCLES

    VK GLOBAL PUBLICATION|Exercise SELF - ASSESSMENT TEST|11 Videos
  • HEIGHT AND DISTANCE

    VK GLOBAL PUBLICATION|Exercise SELF ASSESSMENT TEST|11 Videos

Similar Questions

Explore conceptually related problems

If the points A(4, 3) and B(x, 5) lie on a circle with the centre O(2, 3), find the value of x.

If the points A(4, 3) and B(x, 5) lie on a circle with the centre O(2, 3), find the value of x.

If the points A(4,3) and B(x,5) are on the circle with centre O(2,3), find the value of x.

What are the value(s) of y, if the points A(-1, y) and B(5, 7) lie on a circle with centre O(2, -3y).

The line y = sqrt3 x +4 touches a circle with centre at the origin. Find the radius of the circle.

Find the centre and radius of the circle: x^(2)+(y-1)^(2)=2

Find the centre and the radius of the circle x^(2)+y^(2)+8x+10y-8=0

Find the centre and radius of the circle 2x^(2)+2y^(2)=3x-5y+7

VK GLOBAL PUBLICATION-COORDINATE GEOMETRY -PROFICIENCY EXERCISE ( Short Answer Questions-I )
  1. Find the coordinates of points which divide the line segment joining A...

    Text Solution

    |

  2. Find the value of k for which the points A(k+1, 2k), B(3k, 2k +3) and ...

    Text Solution

    |

  3. Find the coordinates of the point R on the line segment joining the po...

    Text Solution

    |

  4. Find the third vertex of a triangle, if two of its vertices are at ...

    Text Solution

    |

  5. Find the area of the quadrilateral whose vertices taken in order are (...

    Text Solution

    |

  6. The area of a triangle is 5 square unit. Two of its vertices are (2, 1...

    Text Solution

    |

  7. If the points A (2,9), B (a,5) and C (5,5) are the vertices of a tria...

    Text Solution

    |

  8. The vertices of a triangle are (a, b - c), (b, c - a) and (c, a - b). ...

    Text Solution

    |

  9. The base PQ of two equilateral triangles PQR and PQR with side 2a lies...

    Text Solution

    |

  10. If the points (a, b), (a', b') and (a-a', b-b') are collinear, show th...

    Text Solution

    |

  11. Show that the points (a^(2) , 0), (0, b^(2) ) and (1, 1) are collinear...

    Text Solution

    |

  12. The coordinates of A ,\ B ,\ C are (6,\ 3),\ (-3,\ 5) and (4,\ -2) ...

    Text Solution

    |

  13. Show that (1, -1) is the centre of the circle circumscribing the trian...

    Text Solution

    |

  14. If the point A (-2, 1 ), B (a, b) and C (4, -1) are collinear and a-b ...

    Text Solution

    |

  15. If the points P(-3, 9), Q(a, b) and R(4, -5) are collinera and a+b = 1...

    Text Solution

    |

  16. If the points A(-1,\ -4),\ \ B(b ,\ c) and C(5,\ -1) are colline...

    Text Solution

    |

  17. If the point P(2, 2) is equidistant from the points A(-2, k) and B(-2k...

    Text Solution

    |

  18. Points A(-1, y) and B(5, 7) lie on a circle with centre O(2, -3y) . F...

    Text Solution

    |

  19. the value of k for which the points (3k - 1, k-2), (k, k-7) and (k-1, ...

    Text Solution

    |

  20. Points P, Q, R and S divide the line segment joining the points A(1, 2...

    Text Solution

    |