Home
Class 11
MATHS
Does the point (-2.5,3.5) lie inside, ou...

Does the point `(-2.5,3.5)` lie inside, outside or on the circle `x^2+y^2=25 ?`

Text Solution

Verified by Experts

. x^2+y^2=25 rarr(x-0)^2+(y-0)^2=5^2 .. Centre .(0,0). and radius .5 .. Distance between the centre and the point .(-2.5,3.5).. .. =sqrt(-2.5-0)^2+(3.5-0)^2=sqrt(-2.5)^2+(3.5)^2=sqrt6.25+12.25=sqrt18.5=4.30 .. The distance is less than radius. ...
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    V PUBLICATION|Exercise QUESTION BANK|80 Videos
  • INTRODUCTION TO THE DIMENSIONAL GEOMETRY

    V PUBLICATION|Exercise Question Bank|45 Videos

Similar Questions

Explore conceptually related problems

The centre of the circle is thé origin and the radius is 13. a) . Check whether each of the points '(12,5),(10,6)' is inside, outside or on the circle. b) Write the coordintes of two other points on the circle.

A circle with, centre (3,2) passes through the point (6,3) . a) What is the radius of the circle? b) Check whether each of the points with coordinates (0 , 2),(3,6),(0,3) is inside, outside or on the circle.

A circle of radius 10 is drawn with the origin as centre, i) Check whether, each of the' points with coordinates '(6,9),(5,9),(6 , 8)' is inside, outside or on the circle. ii) Write the coordinates of 8 points on this circle.

Find the centre of the circle x^2+y^2-5x+2y-48=0

Prove that (5,6) lies on the circle x^2+y^2-5x+2y-48=0

Find the centre and radius of the circles (x+5)^2+(y-3)^2=36 .

V PUBLICATION-CONIC SECTIONS-Question Bank
  1. Find the equation of the circle passing through (0,0) and making inter...

    Text Solution

    |

  2. Find the equation of the circle with centre (2,2) and passing through ...

    Text Solution

    |

  3. Does the point (-2.5,3.5) lie inside, outside or on the circle x^2+y^2...

    Text Solution

    |

  4. Find the Focus, vertex and latus rectum of the parabola y^2=8x.

    Text Solution

    |

  5. Find the equation of the parabola with focus (2,0) and directrix x=-2

    Text Solution

    |

  6. Find the equation of the parabola with vertex at (0,0) and focus at (0...

    Text Solution

    |

  7. Find the equation of the parabola which is symmetric about the y- axis...

    Text Solution

    |

  8. Find the coordinates of the focus, axis of the parabola, the equation ...

    Text Solution

    |

  9. Find the coordinates of the focus, axis of the parabola, the equation ...

    Text Solution

    |

  10. Find the coordinates of the focus, axis of the parabola, the equation ...

    Text Solution

    |

  11. Find the coordinates of the focus, axis of the parabola, the equation ...

    Text Solution

    |

  12. Find the coordinates of the fòcus, axis of the parabola, the equation ...

    Text Solution

    |

  13. Find the equation of the parabola satisfying the following condition, ...

    Text Solution

    |

  14. Find the equation of the parabola,Focus (0,-3) , directrix y=3

    Text Solution

    |

  15. Find the equation of the parabola satisfying the following condition, ...

    Text Solution

    |

  16. Find the equation of the parabola,Vertex (0,0) focus (-2,0).

    Text Solution

    |

  17. Find the equation of the parabola satisfying the following condition, ...

    Text Solution

    |

  18. Find the equation of the parabola whose vertex is (0,0) which is passi...

    Text Solution

    |

  19. Find the coordinate of the foci,the length of the major axis, minor ax...

    Text Solution

    |

  20. Find the coordinates of the foci, the vertices, the lengths of major a...

    Text Solution

    |