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

`8/(3sqrt2)`

C

`4/sqrt3`

D

`sqrt3/4`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    ARIHANT MATHS|Exercise Exercise (Subjective Type Questions)|15 Videos

  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos

  • PERMUTATIONS AND COMBINATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|28 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 :

ARIHANT MATHS-PARABOLA-Exercise (Questions Asked In Previous 13 Years Exam)
  1. Consider the parabola y^2 = 8x. Let Delta1 be the area of the triangle...

    Text Solution

    |

  2. Let (x,y) be any point on the parabola y^2 = 4x. Let P be the point t...

    Text Solution

    |

  3. Let (x,y) be any point on the parabola y^2 = 4x. Let P be the point t...

    Text Solution

    |

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

    Text Solution

    |

  5. Let S be the focus of the parabola y^2=8x and let PQ be the common cho...

    Text Solution

    |

  6. Let PQ be a focal chord of the parabola y^(2)=4ax. The tangents to the...

    Text Solution

    |

  7. Let PQ be a focal chord of the parabola y^2 = 4ax The tangents to the ...

    Text Solution

    |

  8. The slope of the line touching the parabolas y^2=4x and x^2=-32y is

    Text Solution

    |

  9. The common tangents to the circle x^2 + y^2 =2 and the parabola y^2 = ...

    Text Solution

    |

  10. Let a, r, s, t be non-zero real numbers. Let P(at^2, 2at), Q, R(ar^2, ...

    Text Solution

    |

  11. Let a, r, s, t be non-zero real numbers. Let P(at^(2),2at),Q(ar^(2),2a...

    Text Solution

    |

  12. Let O be the vertex and Q be any point on the parabola,x^2=""8y . I...

    Text Solution

    |

  13. ·If the normals of the parabola y^2=4x drawn at the end points of it...

    Text Solution

    |

  14. Let the curve C be the mirror image of the parabola y^2 = 4x with resp...

    Text Solution

    |

  15. Let P and Q be distinct points on the parabola y^2 = 2x such that a c...

    Text Solution

    |

  16. Let P be the point on the parabola, y^2=8x which is at a minimum dis...

    Text Solution

    |

  17. The circle C1 : x2 + y2 = 3, with centre at O, intersects the parabola...

    Text Solution

    |

  18. Let P be the point on parabola y^2=4x which is at the shortest distanc...

    Text Solution

    |

  19. The radius of a circle, having minimum area, which touches the curve y...

    Text Solution

    |

  20. If a chord which is not a tangent, of the parabola y^(2)=16x has the e...

    Text Solution

    |