Home
Class 12
MATHS
A man running around a race course notes...

A man running around a race course notes that the sum of the distances of two flagposts from him a always 10m and the distance between the flag posts is 8m. Then the area of the path he encloses in square meters is 15`pi` (b) `20pi` (c) `27pi` (d) `30pi`

A

`15pi`

B

`12pi`

C

`18pi`

D

`8pi`

Text Solution

Verified by Experts

The correct Answer is:
A
ltBrgt PS+PS' = 10 ltBrgt 2a=10
a=5
2ae =8
ae=4
e=4/5
`b^(2)=a^(2)(1-e^(2))`
`b^(2)=25(1-(16)/(25))` ltBrgt b=3
A=`piab` = `pixx5xx3=15 pi `
Promotional Banner

Topper's Solved these Questions

  • MOCK TEST 10

    CAREER POINT|Exercise PART (C) - MATHS|30 Videos

  • MOCK TEST 3

    CAREER POINT|Exercise MATHS|30 Videos

Similar Questions

Explore conceptually related problems

A man running around a race course notes that the sum of the distances of two flagposts from him a always 10m and the distance between the flag posts is 8m. Then the area of the path he encloses in square meters is 15 pi (b) 20 pi (c) 27 pi (d) 30pi

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

Two circles touch externally. The sum of their areas is 58 pi cm^(2) and the distance between their centers is 10 cm. Find the radii of two circles

Square of the distance between the integral points of intersection of L_1a n dL_2 for the greatest and the least integral values of m is 5 b. 20 c. 25 d. 30""

A square is inscribed in a circle whose radius is 4cm. The area of the portion between the circle and the square is: (8 pi-16) (b) (8 pi-32)(c)(16 pi-16) (d) (16 pi-32)

The two parallel sides of a trapezium are 1.5m and 2.5m respectively.If the perpendicular distance between them is 6.5 metres,the area of the trapezium is (a) 10m2 (b) 13m2 (c) 20m2 (d) 26m2

CAREER POINT-MOCK TEST 2-PART ( C)- MATHS
  1. Two vertices of an equilateral triangle are (-1,0) and (1, 0), and its...

    Text Solution

    |

  2. A circle is drawn to pass through the extremities of the latus rectum ...

    Text Solution

    |

  3. A man running around a race course notes that the sum of the distances...

    Text Solution

    |

  4. The line 2x + y = 1 is tangent to the hyperbola x^2/a^2-y^2/b^2=1. I...

    Text Solution

    |

  5. A football match may be either won, drawn or lost by the host country'...

    Text Solution

    |

  6. If R = (sqrt(2) + 1)^(2n+1) and f = R - [R], where [ ] denote the ...

    Text Solution

    |

  7. Given three vectors veca,vecbandvecc each two of which are non-colline...

    Text Solution

    |

  8. Four couples (husband and wife) decide to form a committee of four mem...

    Text Solution

    |

  9. The value of x satisfying the equation sinx+(1)/(sinx)=(7)/(2sqrt(3)) ...

    Text Solution

    |

  10. Q. Two students while solving a quadratic equation in x, one copied th...

    Text Solution

    |

  11. If z is a complex number, then the minimum value of |z|+|z-1| is -

    Text Solution

    |

  12. x+y+z=15 if 9, x, y, z, a are in A.P. while (1)/(X)+(1)/(Y)+(1)/(Z)=(5...

    Text Solution

    |

  13. lim(hto0)(1)/(h)int(x)^(x+h)(dz)/(z+sqrt(z^(2)+1)) is equal to -

    Text Solution

    |

  14. If the area bounded by the curve y=f(x), x-axis and the ordinates x=1 ...

    Text Solution

    |

  15. If f(x) = e^(x), then lim(xto0) (f(x))^((1)/({f(x)})) (where { } deno...

    Text Solution

    |

  16. Let f(x) = x[x], xinz, [.] is GIF then "f"^(')(x) =

    Text Solution

    |

  17. If f(x)={{:(,[x]+[-x],,,xne2 ),(," "lamda,,,x=2):} then f is continuo...

    Text Solution

    |

  18. Let f(x)={x^3-x^2+10 x-5,xlt=1-2x+(log)2(b^2-2),x >1 Find the values ...

    Text Solution

    |

  19. The equations of the perpendicular bisector of the sides AB and perpen...

    Text Solution

    |

  20. If (1,a), (2,b), (c^2,3) are vertices of a triangle then its centroid ...

    Text Solution

    |