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

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

A

`c=a+(a)/(m)`

B

`c=a m+(a)/(m)`

C

`c=a m+a`

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

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

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

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

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

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=

The line y = x + 1 is a tangent to the curve y^(2) = 4x at the poin

HIMALAYA PUBLICATION-PARABOLA-QUESTION BANK
  1. The length of the latus rectum of 3x^(2)-4y+6x-3=0 is

    Text Solution

    |

  2. The sum of the reciprocals of focal distances of a focal chord PQ of y...

    Text Solution

    |

  3. The ends of the latus rectum of the parabola x^(2)+10x-16y+25=0 are

    Text Solution

    |

  4. The length of the latus rectum of the parabola bx^(2)-4ay+dx+e=0

    Text Solution

    |

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

    Text Solution

    |

  6. If the normals at points ' t(1) " and ' t(2) ' to the parabola y^(2)=4...

    Text Solution

    |

  7. The equation of a tangent to the parabola y^(2)=8x is y=x+2 the point...

    Text Solution

    |

  8. If two tangents drawn from a point p to the parabola y^(2)=4x are at r...

    Text Solution

    |

  9. The equation of the common tangent to the curves y^2=8x and xy =-1 is ...

    Text Solution

    |

  10. The equation of the common tangents to the parabolas y=x^(2) and y=-(x...

    Text Solution

    |

  11. Let a and b two distinct points on the parabola y^(2)=4x if the axis...

    Text Solution

    |

  12. Let (x,y) be any point on the parabla y^(2)=4x let P be the point t...

    Text Solution

    |

  13. If the parabola y^(2)=4 a x passes through (3,2) then the length of th...

    Text Solution

    |

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

    Text Solution

    |

  15. If the segment intercepted by the parabola y^(2)=4 a x with the line l...

    Text Solution

    |

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

    Text Solution

    |

  17. We are given with two ends of the latus rectum of a parabola then...

    Text Solution

    |

  18. The point of intersection of the curves whose parametric equations are...

    Text Solution

    |

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

    Text Solution

    |

  20. The normal to the parabola y^(2)=8 x at the point (2,4) meets the para...

    Text Solution

    |