Home
Class 11
MATHS
A bridge is in the shape of a semi-ellip...

A bridge is in the shape of a semi-ellipse. It is 400 metres One and has a maximum height of 10 metres at the middle point. The height of the bridge at a point distant 80 metres from one end is :

A

4 metres

B

2 metres

C

8 metres

D

`sqrt 91` metres .

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    MODERN PUBLICATION|Exercise EXERCISE|478 Videos

  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise EXERCISE|291 Videos

  • INFINITE SERIES

    MODERN PUBLICATION|Exercise EXAMPLE|10 Videos

Similar Questions

Explore conceptually related problems

Write one use of metre bridge.

An arch is in the form of a semi-ellipse. It is 8 m wide and 2 m high at the centre. Find the height of the arch at a point 1.5 m from one end.

What is the amplitude of a point 0.375 m away from one end?

An arch is in the form of a semi-ellipse. It is 8m wide and 2m high at the centre. Find the height of the arch at a point 1.5 m from one end.

The towers of a bridge, hung in the form of a parabola, have their tops 30 metres above the roadway and are 200 metres apart. If the cable is 5 metres above the road way at the centre of the bridge, find the length of the vertical supporting cable 30 metres from the centre.

A water jet from the fountain reaches its maximum height of 4 metres at a distance of 0.5 metre from the vertical passing through the point A of the water outlet. Show that the height of the jet above the horizontal AX at a distance of 0.75 metre from the point A is 3 metres.

An electric pole, 14 metres high, casts a shadow of 10 metres. Find the height of a tree that casts a shadow of 15 metres under similar conditions.

A tent is of the shape of a right circular cylinder upto height of 3 metres and then becomes a right circular cone with maximum height of 13.5 metres above the ground. Calculate the cost of painting the inner side of the tent at the rate of Rs.2 per square metre, if the radius of the base is 14 metres.

At what distance does a man, whose height is 2 metres, subtend an angle of 10’ ?

MODERN PUBLICATION-CONIC SECTIONS-EXERCISE
  1. The axis of the parabola 9y^2-16x-12y-57=0 is :

    Text Solution

    |

  2. The equation x^(2)+3y^(2)-9x+2y+1=0 represents

    Text Solution

    |

  3. A bridge is in the shape of a semi-ellipse. It is 400 metres One and h...

    Text Solution

    |

  4. The eccentricity of the ellipse4x^2 + 9y^2 = 36 is :

    Text Solution

    |

  5. The foci of the ellipse 9x^2 +4y^2 =36 are

    Text Solution

    |

  6. The foci of the ellipse 25(x+1)^2 + 9(y+2)^2 = 225, are at :

    Text Solution

    |

  7. The lines a(1)x+b(1)y+c(1)=0 and a(2)x+b(2)y+c(2)=0 are perpendicular ...

    Text Solution

    |

  8. The equation of straight line passing through the point (2, 3) and per...

    Text Solution

    |

  9. The equations y=x sqrt3, y =1 are the sides of :

    Text Solution

    |

  10. If a,b,c are in AP then ax + by + c = 0 represents

    Text Solution

    |

  11. The coordinates of the foot of the perpendicular from (2,3) to the lin...

    Text Solution

    |

  12. Find the orthocentre of the triangle formed by the lines xy = 0 and x+...

    Text Solution

    |

  13. If the sum of the distances of a variable point from two perpendicular...

    Text Solution

    |

  14. Point Q is symmetric to P (4, -1) with respect to the bisector of the ...

    Text Solution

    |

  15. The radius of the circle, which is touched by the line y= x and has it...

    Text Solution

    |

  16. Tangents drawn from the point (4, 3) to the circle x^2+y^2-2x-4y=0 are...

    Text Solution

    |

  17. If l denotes the semi-latus rectum of the parabola y^2= 4ax and SP and...

    Text Solution

    |

  18. The eccentricity of the ellipse : x^2+4y^2+8y-2x+1=0 is :

    Text Solution

    |

  19. The equation of the tangent parallel to y=x drawn to x^2/3-y^2/2 =1 is...

    Text Solution

    |

  20. A line through the point A (2, 0), which makes an angle of 30^@ with t...

    Text Solution

    |