Home
Class 12
MATHS
A man running on a race course notices t...

A man running on a race course notices that the sum of the distances of the two flag posts from him is always 10m and the distance between the flag posts is 8m. Find the equation of the race course traced by the man.

Text Solution

Verified by Experts

The correct Answer is:
`x^2/25+y^2/9=1`
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE 4(B)|15 Videos
  • ELLIPSE

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE 4(B)|15 Videos
  • DIFFERENTIAL EQUATIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE- 8(e)|25 Videos
  • HYPERBOLA

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise SAQ|2 Videos

Similar Questions

Explore conceptually related problems

A man running round a race course notes that the sum of the distances of two flag posts from him is always 10 meters and the distance between the flag posts is 8 meters. Then the area of the path he encloses (in square meters) is

A man running round a race course note that the sum of the distances of two flag posts from him is 8 meters. The area of the path he encloses in square meters if the d is t a n c e between the flag posts is 4 is

A man goes 40m due East and then 96m due North. Find the distance from the starting point.

Two posts are 15 m and 25m high and the line joining their tope make an angle of 45^(@) with the horizontal, the distance between the two posts is

7 pillars are used to hold a slant iron gudder as shown in the figure. If the distance between every two pillars is 1 m and height of the last piller is 10.5 m. Find the height of gudder.

VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-ELLIPSE-EXERCISE4(A)
  1. Find the equation of the ellipse with focus at (1,-1) e=2/3 and direct...

    Text Solution

    |

  2. Find the equation of the ellise in the standard form whose distance be...

    Text Solution

    |

  3. Find the equation of the ellipse in the standard form such that distan...

    Text Solution

    |

  4. Find the eccentricity of the ellipse, (in standard form), if its lengt...

    Text Solution

    |

  5. The distance of a point on the ellipse x^2+3y^2=6 from its centre is e...

    Text Solution

    |

  6. Find the equation of ellipse in the standard form. If it passes throug...

    Text Solution

    |

  7. If the ends of major axis of an ellipse are (5,0) and (-5,0). Find the...

    Text Solution

    |

  8. If the length of the major axis of an ellipse is three times the leng...

    Text Solution

    |

  9. Find the length of major axis,minor axis, latus rectum, eccentricity c...

    Text Solution

    |

  10. Find the length of major axis,minor axis, latus rectum, eccentricity c...

    Text Solution

    |

  11. Find the length of major axis,minor axis, latus rectum, eccentricity c...

    Text Solution

    |

  12. Find the equation of the ellipse in the form ((x-h)^2)/a^2+((y-k)^2)/b...

    Text Solution

    |

  13. Find the equation of the ellipse in the form ((x-h)^2)/a^2+((y-k)^2)/b...

    Text Solution

    |

  14. Find the equation of the ellipse in the form ((x-h)^2)/a^2+((y-k)^2)/b...

    Text Solution

    |

  15. Find the equation of the ellipse in the form ((x-h)^2)/a^2+((y-k)^2)/b...

    Text Solution

    |

  16. Find the radius of the circle passing through the foci of an ellipse 9...

    Text Solution

    |

  17. A man running on a race course notices that the sum of the distances o...

    Text Solution

    |

  18. A line of fixed length (a+b) moves so that its ends are always on two ...

    Text Solution

    |

  19. Prove that the equation of the chord joining the points alpha and beta...

    Text Solution

    |