Home
Class 12
MATHS
The point on the curve x^2=2y which is c...

The point on the curve `x^2=2y` which is closest to the point (0,5) is

A

`(pm 2sqrt2,3)`

B

`(pm 2 sqrt2,4)`

C

`(pmsqrt2,3)`

D

`(pmsqrt3,4)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET-1 (SPECIAL TYPE QUESTIONS)|14 Videos

  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET-2 (SPECIAL TYPE QUESTIONS)|11 Videos

  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1D (MEAN VALUE THEOREMS)|28 Videos

  • ADDITION OF VECTORS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 4|8 Videos

  • BINOMIAL THEOREM

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 4|4 Videos

Similar Questions

Explore conceptually related problems

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

The point on the curve y=x^2+4x+3 which is closest to the line y=3x+2 is

The point on the curve y=x^2 which is nearest to (3,0) is

Find the point on the curve 3x^(2)-4y^(2)=72 which is nearest to the line 3x+2y+1=0

The points on y=x^2+7x+2 which is closest to the line y=3x-3 is

The points on the hyperbola x^(2)-y^(2)=2 closest the point (0,1) are

The point on the curve y=x^(2) is nearest to (3,0) is

The point on the line 4x-y-2=0 which is equidistant from the points (-5,6) and (3,2) is

DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1E (MAXIMA AND MINIMA)
  1. The equation of the normal to the curve x^2=4y at (2,1) is

    Text Solution

    |

  2. The point on the curve y=x^2 which is nearest to (3,0) is

    Text Solution

    |

  3. The point on the curve x^2=2y which is closest to the point (0,5) is

    Text Solution

    |

  4. The minimum distance from the origin to a point on the curve x^(2//3) ...

    Text Solution

    |

  5. The shortest distance from (-6,0) to x^2-y^2+16=0 is

    Text Solution

    |

  6. The points on y=x^2+7x+2 which is closest to the line y=3x-3 is

    Text Solution

    |

  7. The point on the curve y=x^2+4x+3 which is closest to the line y=3x+2 ...

    Text Solution

    |

  8. The shortest distance between the line y-x =1 and the curve x=y^2 is

    Text Solution

    |

  9. The longest distance of the point (a,0) from the curve 2x^2+y^2=2x is

    Text Solution

    |

  10. Point P is (-2,-3) and point Q is (3,7) . The point A on the axis for ...

    Text Solution

    |

  11. A line is drawn through the point (1,2) to meet the coordinate axes at...

    Text Solution

    |

  12. If the perimeter of a maximum rectangle is constant , then that rectan...

    Text Solution

    |

  13. The maximum area of the rectangle that can be inscribed in a circle of...

    Text Solution

    |

  14. The triangle of maximum area that can be inscribed in a circle is

    Text Solution

    |

  15. The maximum area of the rectangle that can be inscribed in a circle of...

    Text Solution

    |

  16. The sides of the greatest rectangle that can be inscribed in (x^2)/(a...

    Text Solution

    |

  17. Area of the largest rectangle that can be inscribed in the ellipse (x^...

    Text Solution

    |

  18. The sides of a rectangle , with maximum perimeter, inscribed in a sem...

    Text Solution

    |

  19. A wire of length l is cut into two parts which are bent respectively i...

    Text Solution

    |

  20. A wire of length 20cm is cut into two parts which are bent in the form...

    Text Solution

    |