Home
Class 11
MATHS
Find the point on the curve y^2=4x which...

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

A

(4,4)

B

(1,2)

C

(9,6)

D

(4,6)

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE -II) (MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS)|6 Videos
  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE -II) (MATRIX MATCHING TYPE QUESTIONS)|3 Videos
  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - I ) (INTEGER TYPE QUESTIONS)|3 Videos
  • MAXIMA & MINIMA

    AAKASH SERIES|Exercise EXERCISE-III|35 Videos
  • MEAN VALUE THEOREMS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I (LEVEL-II (MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS ) )|2 Videos

Similar Questions

Explore conceptually related problems

Find the point on the graph y^2=x which is the nearest to the point (4,0)

The point on the curve x^2=2y which is closest to the point (0,5) 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 point on the curve y=x^2+4x+3 which is closest to the line y=3x+2 is

Find the points on the curve at which the tangents to the curve. y=x^(2)+5 are perpendicular to x+2y=2

Find the points on the curve y = x^3 at which the slope of the tangent is equal to the y-coordinate of the point.

AAKASH SERIES-MAXIMA AND MINIMA -LECTURE SHEET (EXERCISE -II) (STRAIGHT OBJECTIVE TYPE QUESTIONS)
  1. The volume of the greatest cylinder which can be inscribed in a cone o...

    Text Solution

    |

  2. An open recangular tank with a square base and 32 c.c of capacity has ...

    Text Solution

    |

  3. A box is made from a piece of metal sheet 24 cms square by cutting equ...

    Text Solution

    |

  4. An open tank is to be constructed with a square base and vertical side...

    Text Solution

    |

  5. A bell tent consists of a conical portion above a cylinder portion nea...

    Text Solution

    |

  6. A rectangle is inscribed in a equilaternal triangle of side length 2a ...

    Text Solution

    |

  7. Tangents are drawn to the circle x^(2) + y^(2) = 16 from the point ...

    Text Solution

    |

  8. The laregest area of a trapezium inscibed in a semi - circle of radius...

    Text Solution

    |

  9. In a DeltaABC, if angleB=90^(@) and a+b=4 and are of triangle is maxi...

    Text Solution

    |

  10. The maximum area of the rectangle whose sides pass through the vertic...

    Text Solution

    |

  11. A straight line through the point (3,4) in the first quadrant meets th...

    Text Solution

    |

  12. Through the point (2,3) ,a straight line is drawn making, positive int...

    Text Solution

    |

  13. The least intercept made by the coordinate axes on a tangent to the el...

    Text Solution

    |

  14. A rod AB os length 10 cms slides between two perpendicular lines OX ,O...

    Text Solution

    |

  15. The maximum distance of the the normal to the ellipse (x^(2))/(9)+(y^...

    Text Solution

    |

  16. The area of the rectangle of maximum area inscribed in the ellipse (x^...

    Text Solution

    |

  17. The maximum area of a right angled triangle with hypotenuse h is

    Text Solution

    |

  18. Let 'P' be a variable point on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^...

    Text Solution

    |

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

    Text Solution

    |

  20. The minimum distance of a point on the curve y=x^(2)-4 from the origin...

    Text Solution

    |