Home
Class 12
MATHS
Find the distance of the point on y=x^4+...

Find the distance of the point on `y=x^4+3x^2+2x` which is nearest to the line `y=2x-1`

A

`4//sqrt5`

B

`3//sqrt5`

C

`2//sqrt5`

D

`1//sqrt5`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    MCGROW HILL PUBLICATION|Exercise Solved Examples ( NUMERICAL ANSWER TYPE QUESTIONS )|18 Videos
  • APPLICATIONS OF DERIVATIVES

    MCGROW HILL PUBLICATION|Exercise Exercise ( CONCEPT - BASED SINGLE CORRECT ANSWER TYPE QUESTIONS)|10 Videos
  • APPLICATIONS OF DERIVATIVES

    MCGROW HILL PUBLICATION|Exercise Solved Examples ( LEVEL -1 SINGLE CORRECT ANSWER TYPE QUESTIONS )|60 Videos
  • AREA BY INTEGRATION

    MCGROW HILL PUBLICATION|Exercise Question from Previous Years. B-Architecture Entrance Examination Papers|12 Videos

Similar Questions

Explore conceptually related problems

Find the point on y=x^2+4 which is at shortest distance from the line y=4x-4

Find the point on the hyperbola x^2/24 - y^2/18 = 1 which is nearest to the line 3x+2y+1=0 and compute the distance between the point and the line.

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

Find the distance of the point of intersection of the lines 2x+3y=21 and 3x-4y+11=0 from the line 8x+6y+5=0

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

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

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

The point on the ellipse x^(2)+2y^(2)=6 which is nearest to the line x-y=7 is

MCGROW HILL PUBLICATION-APPLICATIONS OF DERIVATIVES-Solved Examples ( LEVEL -2 SINGLE CORRECT ANSWER TYPE QUESTIONS )
  1. The equation e^(x-8) + 2x - 17 = 0 has :-

    Text Solution

    |

  2. The maximum and minimum value of f(x) =ab sin x +b sqrt(1-a^(2)) cos x...

    Text Solution

    |

  3. The maximum area of the rectangle whose sides pass through the vertice...

    Text Solution

    |

  4. Find the image of interval [-1,3] under the mapping specified by...

    Text Solution

    |

  5. The difference between the greatest and the least value of the functio...

    Text Solution

    |

  6. The maximum distance of the point (a, 0) from the curve 2x^(2) + y^(2)...

    Text Solution

    |

  7. The sides of the rectangle of the greatest area, that can be inscribed...

    Text Solution

    |

  8. The area of the region bounded by the curve y =x^3, its tangent at (1,...

    Text Solution

    |

  9. Let f(x) = 6x^(4//3) - 3x^(1//2), x in [-1,1]. Then

    Text Solution

    |

  10. Let g(x) = (log (1 +x))^(-1) -x^(-1) , x gt 0 then

    Text Solution

    |

  11. Range of (x^2-x+1)/(x^2+x+1) is

    Text Solution

    |

  12. If the tangent at (1,1) on y^2=x(2-x)^2 meets the curve again at P , t...

    Text Solution

    |

  13. If the curves y^2=6x, 9x^2+by^2=16 intersect each other at right angle...

    Text Solution

    |

  14. Find the distance of the point on y=x^4+3x^2+2x which is nearest to th...

    Text Solution

    |

  15. A given right cone has volume p , and the largest right circular cylin...

    Text Solution

    |

  16. The set of all values of a for which the function f(x)=(a^2-3a+2)(cos...

    Text Solution

    |

  17. Let x, p in R, x + 1 gt 0, p ne 0, 1. Then

    Text Solution

    |

  18. If f(x)=(a sin x+b cosx)/(c sinx+dcosx) is decreasing for all x, then

    Text Solution

    |

  19. In the interval [0,1], the function x^(25)(1-x)^(75) takes its maximum...

    Text Solution

    |

  20. The set of values of p for which the equation px^2=ln x possess a sing...

    Text Solution

    |