Home
Class 12
MATHS
If y=2 x+c is a tangent to the parabola ...

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

A

4

B

2

C

1

D

none of these

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

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

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

Focus of the parabola y^(2)=16 x is at

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

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

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

The directrix of the parabola y^(2)=16 x is

HIMALAYA PUBLICATION-PARABOLA-QUESTION BANK
  1. The line y=2 x-12 is a normal to y^(2)=4 x at the point

    Text Solution

    |

  2. Equation of the normal to the parabola y^(2)=4 x which is perpendicula...

    Text Solution

    |

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

    Text Solution

    |

  4. The line x+y=k touches the parabola y=x-x^(2) if k=

    Text Solution

    |

  5. The line y=2 x-12 is a normal to y^(2)=4 x at the point

    Text Solution

    |

  6. Focus of the parabola y^(2)=16 x is at

    Text Solution

    |

  7. The point of intersection of the tangents at the ends of the laturs re...

    Text Solution

    |

  8. If 2 x+y+a=0 is a focal chord of the parabola y^(2)+8 x=0 then a=

    Text Solution

    |

  9. If (x(1), y(1)) and (x(2), y(2)) are the ends of the focal chord of y^...

    Text Solution

    |

  10. The point on the parabola y^(2)=8 x whose distance from the focus is 8...

    Text Solution

    |

  11. The co - ordinates of a point on the parabola y^(2) =8x whose focal d...

    Text Solution

    |

  12. The number of tangents that can be drawn from (3,2) to the parabola y^...

    Text Solution

    |

  13. The product of the abscissae of the extremities of a focal chord of a ...

    Text Solution

    |

  14. The equation of the common tangent to the parabolas y^(2)=4 x and x^(2...

    Text Solution

    |

  15. Two tangents are drawn from the point (-2,-1) to the parabola y^(2)=4 ...

    Text Solution

    |

  16. The angle between the two tangents drawn from the point (1,4) to the p...

    Text Solution

    |

  17. The vertex of the parabola is (4,0) and the y -axis is the directrix. ...

    Text Solution

    |

  18. A tangent to the parabola y^(2)=a x makes an angle 45^(circ) with the ...

    Text Solution

    |

  19. If y=m x+4 is a tangent to y^(2)=6 x, then m=

    Text Solution

    |

  20. If y(1) and y(2) are the ordinates of two points P and Q on the parabo...

    Text Solution

    |