Home
Class 12
MATHS
If the line x-1=0 is the directrix of th...

If the line `x-1=0` is the directrix of the parabola `y^2-k x+8=0` , then one of the values of `k` is `1/8` (b) 8 (c) 4 (d) `1/4`

A

`1//8`

B

8

C

4

D

`1//4`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    MOTION|Exercise EXERCISE - II|17 Videos
  • PARABOLA

    MOTION|Exercise EXERCISE - III|25 Videos
  • PARABOLA

    MOTION|Exercise EXERCISE - IV|33 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

If the line x-1=0 is the directrix of the parabola y^(2)-kx+8=0 ,then one of the values of k is (1)/(8)( b) 8 (c) 4 (d) (1)/(4)

the directrix of parabola y^(2)-2x+k=0 is x=1 then k

If the line x-1=0 is the directrix of the parabola y^(2)-kx+8=0 then "k" is A.) 3 B.)-3 C.)4 D.)5

If the line ax+by+c=0 is a tangent to the parabola y^(2)-4y-8x+32=0, then :

If the line y=-(7)/(2) is the directrix of the parabola x^(2)-ky+8=0 , then the sum of all the possible values of k is equal to

If the line x-1=0 is the directrix of the para bola y^(2)-kx+8=0,k!=0 and the parabola intersect the circle y^(2)+x^(2)=4 in two real distinct points,then the value of k is

If the line x + 2y = k is normal to the parabola x^(2) – 4x – 8y + 12 = 0 then the value of k/4 is :

MOTION-PARABOLA-EXERCISE - I
  1. Which one of the following equations represents parametrically, parabo...

    Text Solution

    |

  2. The point of intersection of the curve whose parametrix equations are ...

    Text Solution

    |

  3. If the line x-1=0 is the directrix of the parabola y^2-k x+8=0 , then ...

    Text Solution

    |

  4. let P be the point (1, 0) and Q be a point on the locus y^2= 8x. The l...

    Text Solution

    |

  5. Let N be the foot of perpendicular to the x-axis from point P on the p...

    Text Solution

    |

  6. The locus of the midpoint of the segment joining the focus to a moving...

    Text Solution

    |

  7. If (t^2, 2t) is one end ofa focal chord of the parabola, y^2=4x then ...

    Text Solution

    |

  8. Find the locus of the point of intersection of the perpendicular ta...

    Text Solution

    |

  9. Find the common tangent of x^(2) + y^(2) = 2a^(2) and y^(2) = 8ax.

    Text Solution

    |

  10. The tangents to the parabola x = y^2 + c from origin are perpendicular...

    Text Solution

    |

  11. T P and T Q are tangents to the parabola y^2=4a x at Pa n dQ , respect...

    Text Solution

    |

  12. P Q is a normal chord of the parabola y^2=4a x at P ,A being the verte...

    Text Solution

    |

  13. The normal at the point (bt1^2, 2bt1) on the parabola y^2 = 4bx meets ...

    Text Solution

    |

  14. Locus of the intersection of the tangents at the ends of the normal ch...

    Text Solution

    |

  15. If the normal chhord of the parabola y^(2)=4x makes an angle 45^(@) wi...

    Text Solution

    |

  16. If x+y=k is normal to y^2=12 x , then k is 3 (b) 9 (c) -9 (d) -3

    Text Solution

    |

  17. Tangents are drawn from the points on the line x-y+3=0 parabola y^2=8x...

    Text Solution

    |

  18. The line 4x-7y + 10 = 0 intersects the parabola, y^2 = 4x at the point...

    Text Solution

    |

  19. From the point (4, 6) a pair of tangent lines are drawn to the parabol...

    Text Solution

    |

  20. PSQ is a focal chord of the parabola y^2=8xdotIf\ S P=6, then write SQ...

    Text Solution

    |