Home
Class 12
MATHS
Find the point on the curve y^2= 2x whic...

Find the point on the curve `y^2= 2x` which is at a minimum distance from the point `(1, 4)`

Text Solution

Verified by Experts

The correct Answer is:
`(2, 2)`
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    MODERN PUBLICATION|Exercise Objective Type Questions (A. Multiple Choice Questions)|45 Videos

  • APPLICATIONS OF DERIVATIVES

    MODERN PUBLICATION|Exercise Objective Type Questions (B. Fill in the Blanks)|10 Videos

  • APPLICATIONS OF DERIVATIVES

    MODERN PUBLICATION|Exercise EXERCISE 1 (f) (Long Answer Type Questions (I))|24 Videos

  • APPLICATIONS OF THE INTEGRALS

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

Similar Questions

Explore conceptually related problems

The coordinate of the point on the curve x^(2)=4y which is atleast distance from the line y=x-4 is

The equation of the line passing through the point of intersection of the lines 2x+y=5 and y=3x-5 and which is at the minimum distance from the point (1,2) is

Find the point on the curve y^(2)=4x which is nearest to the point (2,1) .

Find the point on the curve y^(2)=4x which is nearest to the point (2,1) .

Find the point on the curve y^(2)=4x which is nearest to the point (2;-8)

Find the point on the curve y^(2)=4x which is nearest to the point (2,-8)

Find the point on the curve y^(2)=2x , which is nearest to the point (1, -4) .

Find the equation of the plane which passes through the point (1,2,3) and which is at the minimum distance from the point (-1,0,2)

MODERN PUBLICATION-APPLICATIONS OF DERIVATIVES-EXERCISE 1 (f) (Long Answer Type Questions (II))
  1. Show that a cylinder of a given volume which is open at the top has...

    Text Solution

    |

  2. The height of a closed cylinder of given volume and the minimum sur...

    Text Solution

    |

  3. Rectangles are inscribed inside a semicircle of radius r. Find the r...

    Text Solution

    |

  4. A square-based tank of capacity 250 cu m has to bedug out. The cost of...

    Text Solution

    |

  5. A tank with rectangular base and rectangular sides, open at the top...

    Text Solution

    |

  6. A rectangular sheet of tin 45 cm by 24 cm is to be made into a box ...

    Text Solution

    |

  7. An open box is to be made of square sheet of tin with side 20 cm, by c...

    Text Solution

    |

  8. A canon is fired at an angle theta(0le theta le(pi)/(2)) with the hori...

    Text Solution

    |

  9. Find the maximum profit that a company can make, if the profit functi...

    Text Solution

    |

  10. Find the maximum profit that a company can make, if the profit functio...

    Text Solution

    |

  11. Find the maximum profit that a company can make, if the profit functio...

    Text Solution

    |

  12. Find the point on the curve y^2 = 4x which is nearest to the point (2;...

    Text Solution

    |

  13. Find the point on the curve y^2= 2x which is at a minimum distance fro...

    Text Solution

    |

  14. Find the point on the curve y^(2)=2x, which is nearest to the point (1...

    Text Solution

    |

  15. Find the point on the parabola x^(2)=8y, which is nearest to the point...

    Text Solution

    |

  16. A helicopter is flying along the curve y=x^(2)+2. A soldier is placed ...

    Text Solution

    |

  17. A manufacturer can sell 'x' items at a price of Rs (250-x) each. The c...

    Text Solution

    |

  18. A factory can shell 'x' items per week at price of Rs (20-(x)/(1000)) ...

    Text Solution

    |

  19. Let 'p' be the price per unit of a certain product, when there is a sa...

    Text Solution

    |

  20. If performance of the students 'y' depends on the number of hours 'x' ...

    Text Solution

    |