Home
Class 12
MATHS
The equation of the tangent to the parab...

The equation of the tangent to the parabola `(y-2)^(2)=8(x+1),` which is parallel to the line `y=2 x-3` is

A

`y=2 x-5`

B

`y=2 x+5`

C

`y=2 x-2`

D

`y=2 x+2`

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 equation of the tangent to the parabola y^(2)=16 x at (1,4) is

The equation of the tangent to the hyperbola 2x^2-3y^2=6 , which is parallel to the line y = 3x + 4 is :

Find the equation of the normal to the parabola y^2=4x which is parallel to the line y=2x-5.

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

The equation of the tangent to the parabola y^(2)=4 x+5 parallel to the line y=2 x+7 is

The equation of the normal to the curve 3x^(2)-y^(2) =8 which is parallel to the line x+3y = 8 is

The equation of the directrix of the parabola (x-1)^(2)=2(y-2) is

Find the equation of the tangent line to the curve y = x^(2) - 2x + 7 which is (a) parallel to the line 2x - y + 9 = 0

Find the equation of the tangent to the curve y= sqrt(3x-2) which is parallel to the line 4x-2y+5=0.

HIMALAYA PUBLICATION-PARABOLA-QUESTION BANK
  1. The equation of the tangent to the parabola y^(2)=8 x making an angle ...

    Text Solution

    |

  2. The equation of the tangent to the parabola y^(2)=4 x+5 parallel to th...

    Text Solution

    |

  3. The equation of the tangent to the parabola (y-2)^(2)=8(x+1), which is...

    Text Solution

    |

  4. If the focus of a parabola divides a focal chord of the parabola in s...

    Text Solution

    |

  5. The focus of the parabola x^(2)-8x+2y+7=0 is

    Text Solution

    |

  6. Length of focal of the parabola y^(2)=4ax making an angle alpha with t...

    Text Solution

    |

  7. The axis of the parabola 9 y^(2)-16 x-12 y-57=0 is

    Text Solution

    |

  8. Consider the equation of the parabola y^(2)+4ax=0 where a gt0 which o...

    Text Solution

    |

  9. If x+y=k is a normal to the parabola y^(2)=12x then it touches the par...

    Text Solution

    |

  10. Range of values of k for which the point (k-1) is exteriro to both ...

    Text Solution

    |

  11. If P S P^(prime) is a focal chord of the parabola y^(2)=4 a x and S L ...

    Text Solution

    |

  12. A triangle formed by the tangents to the parabola y^(2)=4 a x at the e...

    Text Solution

    |

  13. If b and c are the length of the segments of any focal chord of a para...

    Text Solution

    |

  14. The focus of the parabola y=2 x^(2)+x is

    Text Solution

    |

  15. The tangents from the origin to the parabola y^(2)=4(x-1) are inclined...

    Text Solution

    |

  16. The tangents from the point (-2,5) to the parabola y^(2)=8 x are incli...

    Text Solution

    |

  17. Given the ends of latus rectum, the number of parabolas that can be dr...

    Text Solution

    |

  18. The equation of the lines joining the vertex of the parabola y^(2) =6x...

    Text Solution

    |

  19. The area of the triangle formed by the lines joining the vertex of the...

    Text Solution

    |

  20. If the focus of a parabola is (0,-3) and its directrix is y =3 then it...

    Text Solution

    |