Home
Class 12
MATHS
A man is standing on a straight bridge o...

A man is standing on a straight bridge over a river and another man on a boat is on the river just below lthe man on the bridge. If the first man starts walking at the uniform speed of 4 m/ min and the boat moves perpendicularly to the bridge at the speed of 5 m/min then at what rate are they separating after 4 minutes if the height of the bridge above the boat is 3 m?

Promotional Banner

Topper's Solved these Questions

  • Application of dy/dx

    A DAS GUPTA|Exercise Exercise|45 Videos

  • Application of Vectors

    A DAS GUPTA|Exercise Exercise|13 Videos

  • Binomial Theorem for Positive Integrel Index

    A DAS GUPTA|Exercise Exercise|113 Videos

Similar Questions

Explore conceptually related problems

A man is standing on a straight bridge over a river and another man on a boat is on the river just below lthe man on the bridge.If the first man starts walking at the uniform speed of 4 m/ min and the boat moves perpendicularly to the bridge at the speed of 5m/min then at if the height of the bridge above the boat is 3m?

If a man running at 15 kmph crosses a bridge in 5 minutes, the length of the bridge is

If a man running at the rate of 15 km/hr. crosses a bridge in 5 minutes. The length of the bridge (in metres) is :

A man walking at the rate of 5km/hr. crosses a bridge in 15 minutes. The length of the brige (in metres) is :

A man is standing on a boat in still water. If he walks towards the shore the boat will

A person riding a bike crosses a bridge with a speed of 54km/h. What is the length of the bridge ,if he takes 4 min to cross the bridge?

A DAS GUPTA-Application of dy/dx-Exercise
  1. A man is standing on a straight bridge over a river and another man on...

    Text Solution

    |

  2. Determine the quadratic curve y=f(x) if it touches the line y=x at the...

    Text Solution

    |

  3. Find the value of a ,b ,c such that curves y=x^2=a x+ba n dy=c x-x^2 w...

    Text Solution

    |

  4. Prove that the curves 2y^2 =x^3 and y^ 2 = 32x cut each other orthogon...

    Text Solution

    |

  5. Prove that the curves x y=4a n dx^2+y^2=8 touch each other.

    Text Solution

    |

  6. Find the equation of the tangent to the curve y=(x^3-1)(x-2) at the...

    Text Solution

    |

  7. Show that the line d/a+y/b=1 touches the curve y=b e^(-x/a) at the poi...

    Text Solution

    |

  8. The equation of tangents to the curve y=cos(x+y), -2pi le x le 2pi tha...

    Text Solution

    |

  9. Find the equations of the tangents drawn to the curve y^2-2x^3-4y+8=0.

    Text Solution

    |

  10. If the tangent at (x(0),y(0)) to the curve x^(3)+y^(3)=a^(3) meets the...

    Text Solution

    |

  11. Show that the length of the portion of the tangent to the curve x^(2/3...

    Text Solution

    |

  12. The sum of the intercepts made on the axes of coordinates by any tange...

    Text Solution

    |

  13. Prove that the tangent at any point on the rectangular hyperbola xy = ...

    Text Solution

    |

  14. Show that the segment of the tangent to the curve y=a/2I n((a+sqrt(a^2...

    Text Solution

    |

  15. If alpha, beta are the intercepts made on the axes by the tangent at a...

    Text Solution

    |

  16. Show that the segment of the tangent to the hyperbola y = frac{a^2}{x}...

    Text Solution

    |

  17. Find the value of n in N such that the curve (x/a)^n+(y/b)^n=2 touche...

    Text Solution

    |

  18. Find the equation of the normal to the curve y=(1+y)^y+sin^(-1)(sin^2x...

    Text Solution

    |

  19. Prove that the equation of the normal to x^(2/3)+y^(2/3)=a^(2/3) is yc...

    Text Solution

    |

  20. Find the equation of the normal to the curve x^2=4ywhich passes throu...

    Text Solution

    |

  21. Find the points on the curve 9y^2=x^3 where normal to the curve makes ...

    Text Solution

    |