Home
Class 12
MATHS
In a model, it is shown that an arc of a...

In a model, it is shown that an arc of a bridge is semi-elliptical having major axis horizontal. If the length of the base is 9 m and the highest point of the bridge is 3 m from the horizontal , the best approximation of the height of the arch, 2 m from the centre of the base is approximately :

A

2 m

B

`(8)/(3)m`

C

`(7)/(2)m`

D

`(11)/(4)m`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    MODERN PUBLICATION|Exercise LATEST QUESTIONS FROM AIEEE/JEE EXAMINATIONS|5 Videos
  • ELLIPSE

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS|3 Videos
  • ELLIPSE

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS|3 Videos
  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise Recent competitive Questions|12 Videos
  • FAMILY OF LINES

    MODERN PUBLICATION|Exercise QUESTION FROM KARNATAKA CET & COMED|5 Videos

Similar Questions

Explore conceptually related problems

A sab, standing on the top of a pillar 25 m high subiends an angle whose tangentis 0 - 125 at a point 60 m from the foot of the pillar. The best approximation for the height of the status is:

A ladder leaning against a wall makes an angle of 60^(@) with the horizontal. If the foot of the ladder is 2.5 m away from the wall, find the length of the ladder

The angle of elevation of the top of a tower from two points at a distance of 4m and 9 m from the base of the tower and in the same straight line with it are complementary. Prove that the height of the tower is 6m.

A bird is sitting on the top of a tree 80 m high. From a point on the ground the angle of elevation of the bird is 45^(@) . The bird flies horizontally such that it remains at a constant height from the ground. After 2 seconds the angle of elevation of the bird from the same point is 30^(@) . Find the speed of the flying bird.

An arch is in the form of a parabola with its axis vertical. The arch is 10 m high and 5 m wide at the base. How wide is it 2 m from the vertex of the parabola ?

The magnetic fields at two points on the axis of a circular coil at distance of 0.05 m and 0.2 m from the centre are in the ratio 8 : 1 . The radius of the coil is

The bob of a pendulum is released from a horizontal position. If the length of the pendulum is 1.5m, what is the speed with which the bob arrive at the lower most point, given that, it dissipated 5% of its initial energy against air resistance?

MODERN PUBLICATION-ELLIPSE-(LEVEL-II) MCQ
  1. A tangent at any point on the ellipse (x^(2))/(9)+(y^(2))/(4)=1 is cut...

    Text Solution

    |

  2. If y=xand2x+3y=0 are equations of a pair of conjugate diameters of an ...

    Text Solution

    |

  3. If chord ofcontact ofthe tangents drawn from the point (alpha,beta)to ...

    Text Solution

    |

  4. If the polar of (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 is always touching t...

    Text Solution

    |

  5. S1 and S2 are the foci of the elipse x^2/sin^2 alpha+y^2/cos^2 alpha=1...

    Text Solution

    |

  6. Suppose S and S' are foci of the ellipse (x^(2))/(25)+(y^(2))/(16)=1. ...

    Text Solution

    |

  7. If the foci of the ellipse (x^2)/(16)+(y^2)/(b^2)=1 and the hyperbola ...

    Text Solution

    |

  8. If tanalphatanbeta=-(a^(2))/(b^(2)), then the chord joining the points...

    Text Solution

    |

  9. Find the equation of the normal to the ellipse (x^2)/(a^2)+(y^2)/(b^2)...

    Text Solution

    |

  10. if tangents are drawn to the ellipse x^(2)+2y^(2)=2 all points ...

    Text Solution

    |

  11. Area of the greatest rectangle that can be inscribed in the ellipse (x...

    Text Solution

    |

  12. An ellipse has O B as the semi-minor axis, Fa n dF ' as its foci...

    Text Solution

    |

  13. A focus of an ellipse is at the origin. The directrix is the line x =4...

    Text Solution

    |

  14. The ellipse x^2+""4y^2=""4 is inscribed in a rectangle aligned with...

    Text Solution

    |

  15. If the locus of the middle point of the portion of a tangent of the el...

    Text Solution

    |

  16. In a model, it is shown that an arc of a bridge is semi-elliptical hav...

    Text Solution

    |

  17. A tangent is drawn at the point (3sqrt3costheta, sintheta) for 0ltthet...

    Text Solution

    |

  18. If (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 is an ellipse and tangent at any ...

    Text Solution

    |

  19. The line passing through the extremity A of the major exis and extrem...

    Text Solution

    |

  20. The normal at a point P on the ellipse x^(2)+4y^(2)=16 meets the x-axi...

    Text Solution

    |