Home
Class 12
MATHS
Equation of the normal to the parabola y...

Equation of the normal to the parabola `y^(2)=4 x` which is perpendicular to `x+3 y+1=0`

A

`3 x-y-23=0`

B

`3 x-y+33=0`

C

`3 x-y-33=0`

D

`3 x+y-33=0`

Text Solution

Verified by Experts

The correct Answer is:
C
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

Find the equation of the normal to the parabola y^2=4x which is perpendicular to the line 2x+6y+5=0.

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 normal to the parabola y^(2)=8 x having slope 1 is

Find the equation of the tagent to the hyperbola x^(2)-4y^(2)=36 which is perpendicular to the line x-y+4=0 .

The equation of the normal to the parabola y^(2)=4 x which passes through the point (3,0) is

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

The vertex of the parabola y^(2)=x+4y+3 is

The vertex of the parabola y^(2)=5 x+4 y+1 is

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

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

HIMALAYA PUBLICATION-PARABOLA-QUESTION BANK
  1. The tangent to the parabola y^(2)=8 x parallel to the line 2 y+x=0 is

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |