Home
Class 12
MATHS
The line 2 x-3 y+5=0 is a tangent to the...

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

A

`(16)/(9)`

B

`(10)/(9)`

C

`(11)/(9)`

D

`(7)/(9)`

Text Solution

Verified by Experts

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

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

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

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=

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

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

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

The line y=2x+c is a tangent to the parabola y^(2)=4x if c is equal to

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

HIMALAYA PUBLICATION-PARABOLA-QUESTION BANK
  1. Two ends of the latus rectum of a parabola are (4,6) and (-2,6), then ...

    Text Solution

    |

  2. In each of the following find the coordinates of the focus , axis of t...

    Text Solution

    |

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

    Text Solution

    |

  4. If t is a parameter of one end of a focal chord of the parabola y^(2) ...

    Text Solution

    |

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

    Text Solution

    |

  6. The condition for the line L x+m y+n=0 to be a tangent for x^(2)=y is

    Text Solution

    |

  7. The distance of the P on the parabola y^(2)=4 x from the focus is 26. ...

    Text Solution

    |

  8. Vertex of the parabola y^(2)+2 y+x=0 lies in the quadrant,

    Text Solution

    |

  9. The equation of the tangent to the parabola y=x^(2)-x at the point x=1...

    Text Solution

    |

  10. The vertex of a parabola is at the origin and the directrix is x+5=0 ....

    Text Solution

    |

  11. The point of intersection of the latus rectum and the axis of the para...

    Text Solution

    |

  12. The equation of the parabola whose vertex is (2,-1), axis is vertical ...

    Text Solution

    |

  13. The length of the latus rectum of the parabola is 3 y^(2)+6 y+8 x-5=0 ...

    Text Solution

    |

  14. The length of the latus rectum of the parabola whose directrix is 2 x-...

    Text Solution

    |

  15. The focal distance of the point (other than the origin) on the parabol...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. The point on the parabola y^(2)=8 x where the normal is inclined at 30...

    Text Solution

    |

  19. t(1) and t(2) are the parameters of the end-points f a focal chord of ...

    Text Solution

    |

  20. The latus rectum of the parabola y^(2)=5x+4y+1 is

    Text Solution

    |