Home
Class 12
MATHS
The shortest distance between line y-x=1...

The shortest distance between line y-x=1 and curve `x=y^2` is

A

`3//8`

B

`3 sqrt2//4`

C

`3//4`

D

`3 sqrt2//8`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    MCGROW HILL PUBLICATION|Exercise Exercise ( LEVEL-2 SINGLE CORRECT ANSWER TYPE QUESTIONS)|38 Videos
  • APPLICATIONS OF DERIVATIVES

    MCGROW HILL PUBLICATION|Exercise Exercise ( NUMERICAL ANSWER TYPE QUESTIONS)|17 Videos
  • APPLICATIONS OF DERIVATIVES

    MCGROW HILL PUBLICATION|Exercise Exercise ( CONCEPT - BASED SINGLE CORRECT ANSWER TYPE QUESTIONS)|10 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

The shortest distance between line y-x=1 and curve is : (1)(sqrt(3))/(4) (2) (3sqrt(2))/(8) (3) (8)/(3sqrt(2))(4)(4)/(sqrt(3))

The shortest distance between the line yx=1 and the curve x=y^(2) is (A)(3sqrt(2))/(8) (B) (2sqrt(3))/(8) (C) (3sqrt(2))/(5) (D) (sqrt(3))/(4)

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

The shortest distance between the line x-y=1 and the curve id x^2=2y

The shortest distance between the line y=x and the curve y^(2)=x-2 is:

The shortest distance between the line x=y and the curve y^(2)=x-2 is (a) 2 (b) (7)/(8) (c) (7)/(4sqrt(2)) (d) (11)/(4sqrt(2))

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

MCGROW HILL PUBLICATION-APPLICATIONS OF DERIVATIVES-Exercise ( LEVEL-1 SINGLE CORRECT ANSWER TYPE QUESTIONS)
  1. Let f(x) = 2 tan^(-1)x + "sin"^(-1) (2x)/(1 + x^(2)) then

    Text Solution

    |

  2. If the normal to the curve x^(3) = y^(2) at the point (m^(2), -m^(3)) ...

    Text Solution

    |

  3. Let f(x) =2 sin x + cos 2x (0 le x le 2pi) and g(x) = x + cos x then

    Text Solution

    |

  4. In the interval (0pi//2) the fucntion f(x)= tan^nxcot^n attains

    Text Solution

    |

  5. Find the number of points of local extrema of f(x)=3x^4-4x^3+6x^2+ax+b...

    Text Solution

    |

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

    Text Solution

    |

  7. The set of values of p for which the points of extremum of the functio...

    Text Solution

    |

  8. If A gt 0 ,B gt 0 and A+B=pi/3,then the maximum value of tan A tan B ,...

    Text Solution

    |

  9. The maximum value of |x log x| for 0 lt x le 1 is

    Text Solution

    |

  10. The greatest value of the function log(x) 1//9 - log(3) x^(2) (x gt 1)...

    Text Solution

    |

  11. Let f be differentiable for all x , If f(1)=-2a n df^(prime)(x)geq2 fo...

    Text Solution

    |

  12. An extremum value of the function f(x) = (sin^-1 x)^3 + (cos^-1 x)^3 (...

    Text Solution

    |

  13. Let f(x) = x log x + 3x. Then

    Text Solution

    |

  14. Let f(x)=x^2.e^(-x^2) then which one is incorrect? (A) f(x) has local...

    Text Solution

    |

  15. The minimum value of f(x)=|3-x|+|2+x|+|5-x| is

    Text Solution

    |

  16. Let f(x) = 2 + 2x -3x^(2//3) " on " [-1, 10//3]. Then f has

    Text Solution

    |

  17. If f and g are defined on [0, oo) by f(x) = underset(n rarr oo)(lim) (...

    Text Solution

    |

  18. Let the function f(x) = sin x + cos x, be defined in [0, 2pi], then f(...

    Text Solution

    |

  19. If f(x)=x e^(x(1-x)), then f(x) is

    Text Solution

    |

  20. The tangent to the curve y=e^x drawn at the point (c,e^c) intersects t...

    Text Solution

    |