Home
Class 12
MATHS
The length of the focal chord drawn to y...

The length of the focal chord drawn to `y^(2)=8 x`, through the point whose parametric value is 2 is

A

5

B

`(5)/(2)`

C

`(25)/(2)`

D

`(25)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • Pair Of Lines

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|129 Videos

  • PERMUTATION AND COMBINATIONS

    HIMALAYA PUBLICATION|Exercise Question Bank|104 Videos

Similar Questions

Explore conceptually related problems

The length of the subnormal to the curve y^(2)=x^(3) at the point (4, 8) is

If b and c are the length of the segments of any focal chord of a parabola y^(2)=4ax then the length of the semi latus rectum is

For the parabola y^(2)=4x the point P whose focal distance is 17 is

The locus of the point of intersection of tangents to the circles x=a cos theta, y = a sin theta at points whose parametric angle differs by pi//4 is

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

The length of the subtangent to the curve x^(2)y^(2)=a^(4) at the point (-a,a) is

How many chords can be drawn through 21 points on a circle?

If a focal chord of the parabola y^(2)=a x is 2 x-y-8=0 then the equation of the directrix is

Find the length of the chord cut-off by y=2x+1 from the circle x^2+y^2=2

Find the length of the botr drawn from the point (2, 3) on the line 3x+5y-2=0 .

HIMALAYA PUBLICATION-PARABOLA-QUESTION BANK
  1. The length of the perpendicular from the focus of the parabola y^(2)=8...

    Text Solution

    |

  2. Two tangents are drawn from the point (h, k) to the parabola y^(2)=4 x...

    Text Solution

    |

  3. The length of the focal chord drawn to y^(2)=8 x, through the point wh...

    Text Solution

    |

  4. The vertex of the parabola (y-2)^(2) = 16(x-1) is

    Text Solution

    |

  5. Axis of the parabola x^(2)-4 x-4 y+10=0 is

    Text Solution

    |

  6. The equation of the tangent to the parabola y^(2)=8 x making an angle ...

    Text Solution

    |

  7. The equation of the tangent to the parabola y^(2)=4 x+5 parallel to th...

    Text Solution

    |

  8. The equation of the tangent to the parabola (y-2)^(2)=8(x+1), which is...

    Text Solution

    |

  9. If the focus of a parabola divides a focal chord of the parabola in s...

    Text Solution

    |

  10. The focus of the parabola x^(2)-8x+2y+7=0 is

    Text Solution

    |

  11. Length of focal of the parabola y^(2)=4ax making an angle alpha with t...

    Text Solution

    |

  12. The axis of the parabola 9 y^(2)-16 x-12 y-57=0 is

    Text Solution

    |

  13. Consider the equation of the parabola y^(2)+4ax=0 where a gt0 which o...

    Text Solution

    |

  14. If x+y=k is a normal to the parabola y^(2)=12x then it touches the par...

    Text Solution

    |

  15. Range of values of k for which the point (k-1) is exteriro to both ...

    Text Solution

    |

  16. If P S P^(prime) is a focal chord of the parabola y^(2)=4 a x and S L ...

    Text Solution

    |

  17. A triangle formed by the tangents to the parabola y^(2)=4 a x at the e...

    Text Solution

    |

  18. If b and c are the length of the segments of any focal chord of a para...

    Text Solution

    |

  19. The focus of the parabola y=2 x^(2)+x is

    Text Solution

    |

  20. The tangents from the origin to the parabola y^(2)=4(x-1) are inclined...

    Text Solution

    |