Home
Class 12
MATHS
The point (0,5) is closest to the curve ...

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

A

`(2sqrt2,0)`

B

(0,0)

C

(2,2)

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MAXIMA AND MINIMA

    ML KHANNA|Exercise MISCELANEOUS EXERCISE (MATCHING ENTRIES)|1 Videos
  • MAXIMA AND MINIMA

    ML KHANNA|Exercise MISCELANEOUS EXERCISE (COMPREHENSION)|3 Videos
  • MAXIMA AND MINIMA

    ML KHANNA|Exercise PROBLEM SET(3) (FILL IN THE BLANKS )|8 Videos
  • MATRICES

    ML KHANNA|Exercise COMPREHENSION|3 Videos
  • MEASURES OF CENTRAL TENDENCY

    ML KHANNA|Exercise ASSERTION / REASON|1 Videos

Similar Questions

Explore conceptually related problems

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

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

Examine whether point (2, -5) lies on the curve x^2 +y^2 -2x+1=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

The maximum distance of the point (a, 0) from the curve 2x^(2) + y^(2) - 2x = 0 is -

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 gradient of the curve passing through (4,0) is given by (dy)/(dx) - (y)/(x) + (5x)/( (x+2) (x-3))=0 if the point ( 5,a) lies on the curve then the value of a is

ML KHANNA-MAXIMA AND MINIMA -SELF ASSESSMENT TEST
  1. If y=a log x +bx^(2)+x has its exteme values at x=-1 and x=2, then fin...

    Text Solution

    |

  2. If P(x) = a 0 + a 1 x ^(2) + a 2 x^(4) + … + a n x ^(2n) is a polyn...

    Text Solution

    |

  3. N Characters of information are held on magnetic tape, in batches of x...

    Text Solution

    |

  4. The maximum value of (ln x)/x is:

    Text Solution

    |

  5. For the curve y=x e^x , the point

    Text Solution

    |

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

    Text Solution

    |

  7. Show that the cone of the greatest volume which can be inscribed in a ...

    Text Solution

    |

  8. The function f(x) = abs( px - q) + r absx, x in (-oo,oo) where p gt 0...

    Text Solution

    |

  9. (a) The minimum value of 5^((x^2 - 2)^(3 + 8)) is …. (b) Max. value ...

    Text Solution

    |

  10. The total number of local maxima and local minima of the function f(x)...

    Text Solution

    |

  11. For x epsilon(0,(5pi)/2), definite f(x)=int(0)^(x)sqrt(t) sin t dt. T...

    Text Solution

    |

  12. Given P(x) =x^(4) +ax^(3) +bx^(2) +cx +d such that x=0 is the only re...

    Text Solution

    |

  13. Let f,\ g\ a n d\ h be real-valued functions defined on the interva...

    Text Solution

    |

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

    Text Solution

    |

  15. If f(x) = int0^x t^2 (t - 2) (t -3) dt for x in [0,oo] then

    Text Solution

    |

  16. Let I RvecI R be defined as f(x)=|x|++x^2-1|dot The total number of po...

    Text Solution

    |

  17. Let p(x) be a real polynomial of least degree which has a local maximu...

    Text Solution

    |

  18. Let f be a function defined on R such that f'(x) = 2010(x - 2009) ...

    Text Solution

    |

  19. Let f(theta)=sin(tan^(-1)((sintheta)/(sqrt(cos2theta)))),w h e r e-pi...

    Text Solution

    |

  20. The minimum value of the sum of real number a^(-5),a^(-4),3a^(-3),1,a^...

    Text Solution

    |