Home
Class 12
MATHS
Find the shortest distance of the point ...

Find the shortest distance of the point `(0, c)` from the parabola `y = x^2` where `0lecle5`

Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    PRADEEP PUBLICATION|Exercise EXERCISE|502 Videos

  • APPLICATIONS OF INTEGRALS

    PRADEEP PUBLICATION|Exercise EXERCISE|162 Videos

Similar Questions

Explore conceptually related problems

Find the distance of the point (2,1,0) from the plane 2x+y+2z+5=0.

Find the greatest distance of the point P(10 ,7) from the circle x^2+y^2-4x-2y-20=0

Find the distance of a point (6,0,0) from the plane 2x-3y+6z-2=0 .

Find the distance of the point (-1, 1) from the line 12(x + 6) = 5(y -2) .

What is the distance of the point (-1,2,1) from the plane 2x-3y+4z+5=0.

Find the distance of the point (3,4,5) from the plane x+y+z=2 measured parallel to the line 2x=y=z .

Find the position of the point (-2,2) with respect to the parabola y^2-4y+9x+13=0 .

Find the distance of the point (2,3) from the line 2x-3y+9=0 measured along a line x-y+1=0.

Find the distance of the point (2,3) from the line 2x-3y+9=0 measured along the line 2x-2y+5=0

PRADEEP PUBLICATION-APPLICATIONS OF DERIVATIVES-EXERCISE
  1. If the sum of the surface areas of cube and a sphere is costnat, what ...

    Text Solution

    |

  2. If the length of three sides of a trapezium other than base are equal ...

    Text Solution

    |

  3. Find the shortest distance of the point (0, c) from the parabola y = x...

    Text Solution

    |

  4. Let AP and BQ be two vertical poles at points A and B respectively. If...

    Text Solution

    |

  5. A window has the shape of a rectangle surmounted by an equilateral tri...

    Text Solution

    |

  6. Find the rate of change of area of a square when its side is increasin...

    Text Solution

    |

  7. If the rate of change of volume of a sphere is numerically equal to th...

    Text Solution

    |

  8. If the area of a circle increases at a uniform rate, then prove that t...

    Text Solution

    |

  9. Find a real number theta, 0 < theta < pi/2, which increases twice as f...

    Text Solution

    |

  10. Find the rate of change of perimeter of a square when its side is incr...

    Text Solution

    |

  11. Find the rate of change of perimeter of a square when its side is incr...

    Text Solution

    |

  12. Find the rate of the change of surface area of a sphere when its radiu...

    Text Solution

    |

  13. The volume of a cube is increasing at a constant rate. Prove that the ...

    Text Solution

    |

  14. A particle is moving in a straight line such that its displacement s a...

    Text Solution

    |

  15. The rate of change of the volume of a sphere w.r.t. its surface area, ...

    Text Solution

    |

  16. Prove that the function f(x) = tanx-4x is strictly decreasing on (-pi/...

    Text Solution

    |

  17. Find the interval in which the function f(X) = x^4 - (4x^3)/(3) is str...

    Text Solution

    |

  18. Show that the function f given by f(x) = tan^-1(sinx+cosx), x>0 is alw...

    Text Solution

    |

  19. State whether the function f(x) = x^3 is increasing or decreasing.

    Text Solution

    |

  20. State whether the function f(x) = e^x is increasing or decreasing.

    Text Solution

    |