Home
Class 12
MATHS
If 2y = 5x + k is a tangent to the parab...

If `2y = 5x + k` is a tangent to the parabola `y^(2) = 6x` then k =

A

`(2)/(5)`

B

`(3)/(5)`

C

`(4)/(5)`

D

`(6)/(5)`

Text Solution

Verified by Experts

The correct Answer is:
D
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

If 2y = 5x + k is a tengent to the parabola y^2 = 6x then k =

If y=2 x+c is a tangent to the parabola y^(2)=16 x then c=

The line y=m x+2 is a tangent to the parabola y^(2)=4 x, then m=

The line 2 x-3 y+5=0 is a tangent to the parabola y^(2)=4 a x, then a=

If the line y=m x+c is a tangent to the parabola y^(2)=4 a(x+a) , then c=

If the line 2x-3y+6=0 is a tangent to the parabola y^(2)=4ax then a is

The line y=2 x+k is a normal to the parabola y^(2)=4 x, then k=

If the line y = 2x+k is a tangent to the curve x^(2) = 4y then k =

The line x-2 y+4 a=0 is a tangent to the parabola y^(2)=4 a x at

The line x+y=1 is a tangent to the parabola y^(2)-y+x=0, at

HIMALAYA PUBLICATION-PARABOLA-QUESTION BANK
  1. The vertex of the parabola x^(2)+12 x-9 y=0 is

    Text Solution

    |

  2. The focus of the parabola y^(2)-4 y-8 x+4=0 is

    Text Solution

    |

  3. If 2y = 5x + k is a tangent to the parabola y^(2) = 6x then k =

    Text Solution

    |

  4. The line 4 x+6 y+9=0 touches the parabola y^(2)=4 x at the point

    Text Solution

    |

  5. The vertex of the parabola x^(2)+8 x+12 y+4=0 is

    Text Solution

    |

  6. If the normal to the parabola y^(2)=4 x at P(1,2) meets' the parabola ...

    Text Solution

    |

  7. The length of the latus rectum of the parabola y^(2)+8 x-2 y+17=0 is

    Text Solution

    |

  8. The equation of the parabola with the focus (3,0) and the directrix x+...

    Text Solution

    |

  9. The equation of the parabola with focus (0,0) and directrix x+y=4 is

    Text Solution

    |

  10. The parabola with the directrix x+2 y-1=0 and focus (1,0) is

    Text Solution

    |

  11. The line among the following, that touches the parabola y^(2)=4 a x is

    Text Solution

    |

  12. If a point P moves such that its distance from the point A(1,1) and th...

    Text Solution

    |

  13. Let O be the origin and A be a point on the curve y^(2)=4 x. Then the ...

    Text Solution

    |

  14. The length of latus rectum of the parabola y^(2)=4 a x whose focal cho...

    Text Solution

    |

  15. The equation of a line drawn through the focus of the parabola y^(2)=-...

    Text Solution

    |

  16. Let the directrix of a parabola y^(2)=2 a x is a tangent to a circle w...

    Text Solution

    |

  17. The equation of the parabola which passes through the intersection of ...

    Text Solution

    |

  18. y^(2)-2 x-2 y+5=0 is

    Text Solution

    |

  19. The length of the latus rectum of the parabola x^(2)-4 x-8 y+12=0 is

    Text Solution

    |

  20. An equation of the tangent to y^(2)=9 x which passes through (4,10) is

    Text Solution

    |