Home
Class 12
MATHS
The length of the normal chord which sub...

The length of the normal chord which subtends an angle of `90^(@)` at the vertex of the parabola `y^(2)=4x` is

A

`6sqrt3`

B

`7sqrt2`

C

`8sqrt2`

D

`9sqrt2`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • THE PARABOLA

    ML KHANNA|Exercise Problem Set (3) (TRUE AND FALSE)|4 Videos
  • THE PARABOLA

    ML KHANNA|Exercise Problem Set (3) (FILL IN THE BLANKS)|5 Videos
  • THE PARABOLA

    ML KHANNA|Exercise Problem Set (2) (FILL IN THE BLANKS)|5 Videos
  • THE HYPERBOLA

    ML KHANNA|Exercise SELF ASSESSMENT TEST |4 Videos
  • THEORY OF QUADRATIC EQUATIONS

    ML KHANNA|Exercise Self Assessment Test|27 Videos

Similar Questions

Explore conceptually related problems

Find the length of the normal chord which subtends an angle of 90^(@) at the vertex of the parabola y^(2)=4x

The length of normal chord of parabola y^(2)=4x , which subtends an angle of 90^(@) at the vertex is :

If a chord 4y=3x-48 subtends an angle theta at the vertex of the parabola y^(2)=64x then tan theta=

If the chord y=mx+c subtends a right angle at the vertex of the parabola y^(2)=4ax thenthe value of c is

Find the length of the chord which subtends an angle of 90^(@) at the centre 'O' and which is at a distance of 6 cm from the centre.

Find the locus of the middle points of the chords of the parabola y^(2)=4ax which subtend a right angle at the vertex of the parabola.

3.The length of double ordinate of parabola y^(2)=8x which subtends an angle 60^(@) at vertex is

ML KHANNA-THE PARABOLA -Problem Set (3) (MULTIPLE CHOICE QUESTIONS)
  1. If two of the feet of normals drawn.from a point to the parabola y^2 =...

    Text Solution

    |

  2. The normal drawn at a point (at(1)^2 2at1) of the parabola y^2 = 4ax ...

    Text Solution

    |

  3. The length of the normal chord which subtends an angle of 90^(@) at th...

    Text Solution

    |

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

    Text Solution

    |

  5. The normal chord of the parabola y^2 = 4ax at a point whose ordinate i...

    Text Solution

    |

  6. If the normal to the parabola y^2 = 4ax at the point P("at"^2 2at) c...

    Text Solution

    |

  7. If the normal at(1, 2) on the parabola y^(2)=4x meets the parabola aga...

    Text Solution

    |

  8. The normal at the point P( "at"1^2,2at1) meets the parabola y^2 = 4a...

    Text Solution

    |

  9. If a normal chord subtends a right angle at the vertex of the parabola...

    Text Solution

    |

  10. If the normals at points 't1' and 't2' meet on the parabola, then

    Text Solution

    |

  11. The equation of a normal to the parabola y=x^(2)-6x+6 which is perpend...

    Text Solution

    |

  12. If the normals at two points P and Q of a parabola y^2 = 4ax intersect...

    Text Solution

    |

  13. If the point (at^2,2at) be the extremity of a focal chord of parabola ...

    Text Solution

    |

  14. A triangle ABC of area Delta is inscribed in the parabola y^2 = 4ax s...

    Text Solution

    |

  15. The locus of the middle points of the focal chord of the parabola y^(2...

    Text Solution

    |

  16. The locus of the poles of focal chords of the parabola y^2 = 4ax is

    Text Solution

    |

  17. A focal chord of parabola y^(2)=4x .is inclined at an angle of (pi)/(4...

    Text Solution

    |

  18. The length of the subnormal to the parabola y^(2)=4ax at any point is ...

    Text Solution

    |

  19. Find the locus of the mid-points of the chords of the parabola y^2=4ax...

    Text Solution

    |

  20. The normals at three points P,Q,R of the parabola y^2=4ax meet in (h,k...

    Text Solution

    |