Home
Class 12
MATHS
The length of the chord of the parabola ...

The length of the chord of the parabola `y^(2) = x` which is bisected at the point (2, 1) is less than

A

`5sqrt2`

B

`4sqrt5`

C

`4sqrt(50)`

D

`2sqrt5`

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    MOTION|Exercise EXERCISE - III|25 Videos
  • PARABOLA

    MOTION|Exercise EXERCISE - IV|33 Videos
  • PARABOLA

    MOTION|Exercise EXERCISE - I|28 Videos
  • MONOTONOCITY

    MOTION|Exercise Exercise - 4 ( Level-II ) Previous Year (Paragraph)|2 Videos
  • PERMUTATION AND COMBINATION

    MOTION|Exercise EXAMPLE|23 Videos

Similar Questions

Explore conceptually related problems

Equation of the chord of the parabola y^(2)=8x which is bisected at the point (2,-3) is

The length of the chord of the parabola y^(2)=x which is bisected at the point (2,1) is (a) 2sqrt(3)( b) 4sqrt(3)(c)3sqrt(2) (d) 2sqrt(5)

The length of the chord of the of the parabola y^2=x which is bisected at (2,1) is

Find the equation of the chord of the parabola y^(2)=12x which is bisected at the point (5, -7).

The equation of the chord of the ellipse 2x^(2)+5y^(2)=20 which is bisected at the point (2,1) is

The equation of chord of the hyperbola 25x^(2)-16y^(2)=400 which is bisected at the point (6,2) is

The length of the common chord of the parabolas y^(2)=x and x^(2)=y is

MOTION-PARABOLA-EXERCISE - II
  1. If two tangents drawn from the point (a,b) to the parabola y^2=4x be...

    Text Solution

    |

  2. Find the equation of the common tangent to the curves y^2=8x and xy=-1...

    Text Solution

    |

  3. If the tangents and normals at the extremities of a focal chord of a ...

    Text Solution

    |

  4. The equation of a straight line passing through the point (3, 6) and c...

    Text Solution

    |

  5. T is a point on the tangent to a parabola y^(2) = 4ax at its point P. ...

    Text Solution

    |

  6. From the focus of parabola y^2 = 8x as centre, a circle is described s...

    Text Solution

    |

  7. The straight line joining any point P on the parabolay^2=4ax to the ve...

    Text Solution

    |

  8. The tangent and normal at P(t), for all real positive t, to the parabo...

    Text Solution

    |

  9. Through the vertex O of the parabola y^2=4a x , two chords O Pa n dO Q...

    Text Solution

    |

  10. Two parabolas y(2) = 4a(x – 1l(1)) and x(2) = 4a(y – l(2)) always touc...

    Text Solution

    |

  11. Let A be the vertex and L the length of the latus rectum of the parabo...

    Text Solution

    |

  12. The parametric coordinates of any point on the parabola y^(2) = 4ax ca...

    Text Solution

    |

  13. The locus of the mid point of the focal radi of a variable point movin...

    Text Solution

    |

  14. Two parabolas have the same focus. If their directrices are the x-axis...

    Text Solution

    |

  15. The length of the chord of the parabola y^(2) = x which is bisected at...

    Text Solution

    |

  16. Tangent to the parabola y^(2) = 4ax at point P meets the tangents at v...

    Text Solution

    |

  17. A variable circle is described to passes through the point (1, 0) and ...

    Text Solution

    |