Home
Class 12
MATHS
A horse runs along a circle with a speed...

A horse runs along a circle with a speed of `20k m//h` . A lantern is at the centre of the circle. A fence is along the tangent to the circle at the point at which the horse starts. Find the speed with which the shadow of the horse moves along the fence at the moment when it covers 1/8 of the circle in km/h.

Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    BANSAL|Exercise All Questions|425 Videos

Similar Questions

Explore conceptually related problems

A horse runs along a circle with a speed of 20km/h .A lantern is at the centre of the circle.A fence is along the tangent to the circle at the point at which the horse starts. Find the speed with which the shadow of the horse moves along the fence at the moment when it covers 1/8of the circle in km/h .

A man running along a circular track has the speedof 10 km per hour. A source of light is at the centre of the circular track. A wall is along the tangent to the circular track at the point from which he starts.What is the speed of the shadow of the man on the wall when he covers 1/8th of the track? (Assume thetrack to be a line.)

If a point moves along a circle with constant speed, prove that its angular speed about any point on the circle is half of that about the centre.

Find the equation of the circle whose centre is (h, k) and which passes through the point (p, q) .

A point moves along a circle with velocity v = at where a 0.5 m/sec2. Then the total acceleration of the point at the moment when it covered (1/10) th of the circle after beginning of motion -

Assertion : A body is moving along a circle with a constant speed. Its angular momentum about the centre of the circle remains constant Reason : In this situation, a constant non-zero torque acts on the body.

A truck moves along a circular path and describes 100 m when it has traced out 36^(@) at the centre. The radius of the circle is equal to

A body is moving along circle at constant speed Which of the following statement is true?

A point moves along a circle with speed v=at. The total acceleration of the point at a time when it has traced 1//8th of the circumference is:

A particle moves in a circle of radius 4m with a linear speed of 20m//s . Find the angular speed.

BANSAL-APPLICATION OF DERIVATIVE-All Questions
  1. If water is poured into an inverted hollow cone whose semi-vertical ...

    Text Solution

    |

  2. A man 1.6 m high walks at the rate of 30 metre per minute away from...

    Text Solution

    |

  3. A horse runs along a circle with a speed of 20k m//h . A lantern is at...

    Text Solution

    |

  4. A particle moves along the curve 6y=x^3+2 . Find the points on the cur...

    Text Solution

    |

  5. An open Can of oil is accidently dropped into a lake; assume the oi...

    Text Solution

    |

  6. A circular ink blot grows at the rate of 2 cm^2 per second. Find the ...

    Text Solution

    |

  7. If in a triangle A B C , the side c and the angle C remain constant, w...

    Text Solution

    |

  8. Using differentials, find the approximate value of sqrt(0. 037), co...

    Text Solution

    |

  9. Using differentials, find the approximate value of (82)^(1/4) upto ...

    Text Solution

    |

  10. The curve y=a x^3+b x^2+c x+5 touches the x-axis at P(-2,0) and cuts t...

    Text Solution

    |

  11. Tangents are drawn to the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1,(a > b), ...

    Text Solution

    |

  12. Tangent at a point P1\ (ot h e r\ t h a n\ (0,0) on the curve y=x^3 me...

    Text Solution

    |

  13. If the sum of the squares of the intercepts on the axes cut off by ...

    Text Solution

    |

  14. Tangents are drawn from the origin to curve y=sinxdot Prove that point...

    Text Solution

    |

  15. Find the equation of tangents to the curve y=cos(x+y),-2pilt=xlt=2pi t...

    Text Solution

    |

  16. Three normals are drawn from the point (14,7) to the curve y^2-16x-8y=...

    Text Solution

    |

  17. Find the equation of tangents to the curve x^2+y^2-2x-4y+1=0 which ...

    Text Solution

    |

  18. Prove that the sum of the x and y intercepts made by the tangent to th...

    Text Solution

    |

  19. Find the point on the parabola y=(x-3)^2, where the tangent is par...

    Text Solution

    |

  20. The angle between the tangent lines to the graph of the function f(x) ...

    Text Solution

    |