Home
Class 12
MATHS
A man running round a race course note t...

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

`15pi`

B

`12pi`

C

`18pi`

D

`8sqrt(3)pi`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    AAKASH SERIES|Exercise PRACTICE EXERCISE|65 Videos
  • ELLIPSE

    AAKASH SERIES|Exercise EXERCISE-I|52 Videos
  • DIFFERENTIAL EQUATIONS

    AAKASH SERIES|Exercise Practice Exercise|62 Videos
  • EXPONENTIAL SERIES

    AAKASH SERIES|Exercise EXERCISE - III|8 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 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

AAKASH SERIES-ELLIPSE-EXERCISE-II
  1. If the chord joining two points whose eccentric angles are alpha and ...

    Text Solution

    |

  2. If tan theta(1) tan theta(2) =-(a^(2))/(b^(2)) then the chord join...

    Text Solution

    |

  3. The tangent at 'p' on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 cu...

    Text Solution

    |

  4. P(theta) and D(theta+(pi)/(2)) are the points on the ellipse with c...

    Text Solution

    |

  5. The area of the parallelogram formed by the tangents at the points who...

    Text Solution

    |

  6. The area of the parallelogram formed by the tangents at the points who...

    Text Solution

    |

  7. If PSQ is a focal chord then match the ellipse with the value of (1)/...

    Text Solution

    |

  8. A man running round a race course note that the sum of the distances o...

    Text Solution

    |

  9. The locus of point of intersection of lines (xt)/(a)-(y)/(b)+t=0 and (...

    Text Solution

    |

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

    Text Solution

    |

  11. Tangents to the ellipse x^(2)//a^(2)+y^(2)//b^(2)=1 make angles theta(...

    Text Solution

    |

  12. Locus of the point of intersection of the tangents at the points with ...

    Text Solution

    |

  13. The locus of the mid point of the portion of a tangent to the ellipse...

    Text Solution

    |

  14. The locus of mid points of the chords of the ellipse (x^(2))/(a^(2))+...

    Text Solution

    |

  15. If S and S'' are the foci of the ellipse (x^(2))/(25) + (y^(2))/(16) =...

    Text Solution

    |

  16. The maximum number of normals that can be drawn from any point to an e...

    Text Solution

    |

  17. The curve represented by x=2 (cos t +sin t ) , y=5 (cos t -sin t ) is

    Text Solution

    |

  18. The sides of the rectangle of greatest area that can be inscribed in t...

    Text Solution

    |

  19. If tangents are drawn from any point on the circle x^(2)+y^(2)=25 to t...

    Text Solution

    |

  20. An ellipse passing through (4sqrt2, 2 sqrt 6) foci at (-4,0) and (4,0)...

    Text Solution

    |