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

`(3sqrt2)/(8)`

B

`(2sqrt3)/(8)`

C

`(3sqrt2)/(5)`

D

`(sqrt3)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
A
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    CENGAGE|Exercise Exercise (Numerical)|12 Videos
  • 3D COORDINATION SYSTEM

    CENGAGE|Exercise DPP 3.1|11 Videos
  • APPLICATION OF INTEGRALS

    CENGAGE|Exercise Solved Examples And Exercises|17 Videos

Similar Questions

Explore conceptually related problems

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))

Find the shortest distance between the line y=x-2 and the parabola y=x^2+3x+2.

Knowledge Check

  • Distance between the lines 5x+3y-7=0 and 15x+9y+14=0 is

    A
    `35/sqrt(34)`
    B
    `1/(3sqrt(34))`
    C
    `35/(3sqrt(34))`
    D
    `35/(2sqrt(34))`
  • Similar Questions

    Explore conceptually related problems

    Find the shortest distance between the line y=x-2 and the parabola y=x^2+3x+2.

    Find the shortest distance between the z-axis and the line, x+y+2z-3=0,2x+3y+4z-4=0.

    The shortest distance between the lines 2x+y+z-1=0=3x+y+2z-2 and x=y=z , is

    The shortest distance between the point ((3)/(2),0) and the curve y=sqrt(x),(x gt 0) , is

    Find distance between X-axis and line y=-4.

    Find the area between the line y=x+1 and the curve y=x^(2)-1

    Find the shortest distance between the lines (x+1)/7=(y+1)/(-6) =(z+1)/1 and (x-3)/1=(y-5)/-2=(z-7)/1