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 `(1)/(2)le c le 5`.

Text Solution

Verified by Experts

The correct Answer is:
`(sqrt(4c-1))/(2)`
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    KUMAR PRAKASHAN|Exercise SOLUTIONS OF NCERT EXEMPLAR PROBLEMS (SHORT ANSWER TYPE QUESTIONS)|24 Videos

  • APPLICATION OF DERIVATIVES

    KUMAR PRAKASHAN|Exercise SOLUTIONS OF NCERT EXEMPLAR PROBLEMS (LONG ANSWER TYPE QUESTIONS)|10 Videos

  • APPLICATION OF DERIVATIVES

    KUMAR PRAKASHAN|Exercise TEXTBOOK BASED MCQS|83 Videos

  • ANNUAL EXAMINATION :SAMPLE PAPER

    KUMAR PRAKASHAN|Exercise PART-B ( SECTION-C)|10 Videos

  • APPLICATION OF INTEGRALS

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER ( SECTION -D)|2 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 distance of the point (3,-2,1) from the plane 2x-y+2z + 3 = 0.

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

Find the shortest distance between the parabola y^2=4x and circle x^2+y^2-24y+128=0 .

The shortest distance from the point (2,-7) to the circle x^(2) + y^(2) - 14x - 10y - 151 = 0 is equal to 5.

Find the distance of the line 4x+7y+5=0 from the point (1,2) along the line 2x-y=0 .

Draw the graph of y=[x^(3)], when -2^(1//3)le x le 2^(1//3)

The shortest distance between the parabolas 2y^2=2x-1 and 2x^2=2y-1 is 2sqrt(2) (b) 1/2sqrt(2) (c) 4 (d) sqrt((36)/5)

Find the area of the region {(x,y) |x^2 le y le x} .

KUMAR PRAKASHAN-APPLICATION OF DERIVATIVES -TEXTBOOK ILLUSTRATIONS FOR PRACTICE WORK
  1. Find local maximum and local minimum values of the function f given by...

    Text Solution

    |

  2. Find all the points of local maxima and local minima of the function f...

    Text Solution

    |

  3. Find two positive numbers whose sum is 15 and the sum of whose squares...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. If length of three sides of a trapezium other than base are equal to 1...

    Text Solution

    |

  7. Prove that the radius of the right circular cylinder of greatest curve...

    Text Solution

    |

  8. Find the global maximum and minimum values of the function f given by ...

    Text Solution

    |

  9. Find absolute maximum and minimum values of a function f given by f(x...

    Text Solution

    |

  10. An Apache helicopter of enemy is flying along the curve given by y=x^(...

    Text Solution

    |

  11. A car starts from a point P at time t = 0 seconds and stops at point Q...

    Text Solution

    |

  12. A water tank has the shape of an inverted right circular cone with its...

    Text Solution

    |

  13. A man of height 2 metres walks at a uniform speed of 5 km/h away from ...

    Text Solution

    |

  14. Find the equation of the normal to the curve x^(2)=4y which passes thr...

    Text Solution

    |

  15. Find the equations of the tangent to the curve y=cos(x+y) which is par...

    Text Solution

    |

  16. Find intervals in which the function given by f(x)=(3)/(10)x^(4)-(4)/(...

    Text Solution

    |

  17. Show that the function f given by f(x)=tan^(-1)(sin x + cos x), x gt 0...

    Text Solution

    |

  18. A circular disc of radius 3 cm is being heated. Due to expansion, its ...

    Text Solution

    |

  19. An open topped box is to be constructed by removing equal squares from...

    Text Solution

    |

  20. Manufacturer can sell x items at a price of rupees (5-(x)/(100)) each....

    Text Solution

    |