Home
Class 12
MATHS
Find the equation of the normals to the ...

Find the equation of the normals to the curve `y=x^3+2x+6`which are parallel to the line `x + 14 y + 4 = 0`.

Text Solution

Verified by Experts

The correct Answer is:
`x+14y-254=0;x+14y+86=0`
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    MODERN PUBLICATION|Exercise EXERCISE 6 (c) (Long Answer Type Questions (I))(HOTS)|12 Videos

  • APPLICATIONS OF DERIVATIVES

    MODERN PUBLICATION|Exercise EXERCISE 6 (d) (Long Answer Type Questions (I))|46 Videos

  • APPLICATIONS OF DERIVATIVES

    MODERN PUBLICATION|Exercise EXERCISE 6 (c) (Short Answer Type Questions)|18 Videos

  • APPLICATIONS OF THE INTEGRALS

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the normals to the curve y=x^(3)+2x+6 which are parallel to the line x+14y+4=0

Find the equations of the normal to the curve y=x^(3)+2x+6 which are parallel to the line x+14y+4=0

Find the equation of the normal to the curve 3x^2-y^2=8 which are parallel to the line x+3y-5=0

Find the equation of normal line to the curve y=x^(3)+2x+6 which is parallel to the line x+14y+4=0

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

Find the equation of a normal to the curve y=x log_(e)x which is parallel to the line 2x-2y+3=0

Find the equation of the normal to the curve y=2x^(2)+3sin x at x=0.

Find the equations of the normals to the curve : 2x^(2)-y^(2)=14 , which are parallel to the line x+3y=6.

Find the equation of a normal to the curve y=x(log)_e x which is parallel to the line 2x-2y+3=0 .

MODERN PUBLICATION-APPLICATIONS OF DERIVATIVES-EXERCISE 6 (c) (Long Answer Type Questions (I))
  1. Find the equation of the tangent line to the curve y=x^2-2x+7 which...

    Text Solution

    |

  2. Find the equation of the tangents to the curve : y=x^(3)+2x-4, Whi...

    Text Solution

    |

  3. Find the equation of the normals to the curve y=x^3+2x+6which are par...

    Text Solution

    |

  4. Find the equation(s) of normal(s) to the curve 3x^2-y^2=8 which is (ar...

    Text Solution

    |

  5. Find the equations of the normals to the curve : 2x^(2)-y^(2)=14, whic...

    Text Solution

    |

  6. If a normal of curvex^(2//3)+y^(2//3)=a^(2//3) makes an angle phi from...

    Text Solution

    |

  7. (i) Find the equation of the normal to the curve : x^(2)=4y, which pas...

    Text Solution

    |

  8. Find the equation of the tangent to the curve : y=3x^(2)-2x+5, which i...

    Text Solution

    |

  9. Find the points on the curve x^3-2x^2-2x at which the tangent li...

    Text Solution

    |

  10. Find the equation of the tangent to the curve y=sqrt(5x-3), which is ...

    Text Solution

    |

  11. Find the equations of tangent lines to the curve y=4x^3-3x+5, which ar...

    Text Solution

    |

  12. Find the equations of the normal to the curve y=x^3+2x+6 which are par...

    Text Solution

    |

  13. Find the equation of the normal to the curve : y=x^(3)+5x^(2)-10x+10, ...

    Text Solution

    |

  14. Find the equations of the normal to the curve y=4x^(3)-3x+5, which are...

    Text Solution

    |

  15. Find the equation of tangent to the curve given byx=asin^3t ,y=bcos^3t...

    Text Solution

    |

  16. Find the equation of the tangent at t=(pi)/(4) to the curve : x=sin 3t...

    Text Solution

    |

  17. Find the point(s) on the curve : (i) y=3x^(2)-12x+6 (ii) x^(2)+y^...

    Text Solution

    |

  18. Find the point(s) on the curve : (i) y=(1)/(4)x^(2), where the slope...

    Text Solution

    |

  19. Find the point on the curve y=x^3-11 x+5 at which the tangent is y"...

    Text Solution

    |

  20. For the curve y=4x^3-2x^5,find all the points at which the tangent pa...

    Text Solution

    |