Home
Class 12
MATHS
The point (0,3) is nearest to the curve ...

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

A

`(2sqrt(2),0)`

B

`(0,0)`

C

(2,2)

D

(2,-2)

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    AAKASH INSTITUTE|Exercise Assignment SECTION-C( Objective Type Questions ( More than one option are correct ))|1 Videos
  • APPLICATION OF DERIVATIVES

    AAKASH INSTITUTE|Exercise Assignment SECTION-C( Objective Type Questions ( More than one option is correct ))|5 Videos
  • APPLICATION OF DERIVATIVES

    AAKASH INSTITUTE|Exercise Assignment SECTION-A (Competition Level Questions)|50 Videos
  • APPLICATION OF INTEGRALS

    AAKASH INSTITUTE|Exercise Assignment Section - I Aakash Challengers Questions|2 Videos

Similar Questions

Explore conceptually related problems

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

The point (0,5) is closest to the curve x ^(2) = 2y at :

The tangent to the ellipse 3x^2+16y^2=12 , at the point (1,3/4) intersects the curves y^2+x=0 at :

Examing whether point (2, -3) lies on the curve x^2 - 2y^2 + 6xy + 8 =0 .

The equation of the common normal at the point of contact of the curves x^(2)=y and x^(2)+y^(2)-8y=0

Find the co-ordinates of point on line x+y=-13, nearest to the circle x^(2)+y^(2)+4x+6y-5=0

The point on the curve x^(2)=2y which is nearest to the point (0,5) is (A) which is nearest to the point (0,5) is (A)(2sqrt(2),4)(2sqrt(2),0)(C)(0,0)(D)(2,2)

The centre of the circule passing through the points of intersection of the curves (2x+3y+4)(3x+2y-1)=0 and xy=0 is

AAKASH INSTITUTE-APPLICATION OF DERIVATIVES-Assignment SECTION-B( Objective Type Questions ( One option is correct ))
  1. The function f, defined by f(x)=(x^(2))/(2) +In x - 2 cos x increas...

    Text Solution

    |

  2. f(x) =xe^(x(1-x)), then f(x) is

    Text Solution

    |

  3. Which of the following is correct ?

    Text Solution

    |

  4. Find the value of a , if the equation x-sinx=a has a unique r...

    Text Solution

    |

  5. Number of real roots of the equation e^(x-1)-x=0 is

    Text Solution

    |

  6. f(x)=(x)/(sinx ) and g(x)=(x)/(tanx) , where 0 lt x le 1 then in the...

    Text Solution

    |

  7. If f(x)=(p^2-1)/(p^2+1) x^3-3x + log 2 is a decreasing function of x.i...

    Text Solution

    |

  8. Let f(x) = (x-p)^2+ (x -q)^2 + (x - r)^2. Then f(x) has a minimum at ...

    Text Solution

    |

  9. The maximum value of ((1)/(x))^(2x^(2)) is

    Text Solution

    |

  10. If f(x)=alog|x|+b x^2+x has its extremum values at x=-1a n dx=2, then ...

    Text Solution

    |

  11. If x in [-1,1] then the minimum value of f(x)=x^(2)+x+1 is

    Text Solution

    |

  12. If ax+(b)/(x) ge c, AA a gt 0 and a,b,c are positive constant then

    Text Solution

    |

  13. Let x be a number which exceeds its square by the greatest possible qu...

    Text Solution

    |

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

    Text Solution

    |

  15. Let f(x) be a function defined as below : f(x)=sin(x^(2)-3x) ,x le...

    Text Solution

    |

  16. If lambda, mu be real numbers such that x^3-lambda x^2 + mux-6=0 has i...

    Text Solution

    |

  17. The value of c in Lagrange's mean value theorem for the function f(x) ...

    Text Solution

    |

  18. If a, b, c, d are real numbers such that (3a + 2b)/(c+d)+3/2=0 the...

    Text Solution

    |

  19. If the least area of triangle formed by tangent,normal at any point P ...

    Text Solution

    |

  20. Let f''(x) gt 0 AA x in R and let g(x)=f(x)+f(2-x) then interval of ...

    Text Solution

    |