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+14y+4 = 0`

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    OMEGA PUBLICATION|Exercise Multiple Choice Questions (MCQs)|34 Videos
  • APPLICATION OF DERIVATIVES

    OMEGA PUBLICATION|Exercise Multiple Choice Questions (MCQs)|34 Videos
  • APPLICATION OF INTEGRALS

    OMEGA PUBLICATION|Exercise Multiple Choice Questions|16 Videos

Similar Questions

Explore conceptually related problems

Find the equations of the normals to the curve 3x^2 - y^2 = 8 which are parallel to the line x + 3y = 4

Find the equations of the normals to the curve: 3x^2-y^2=8 , which are parallel to the line x + 3y = 6

Find the equation of tangent to the curve y = 3x^2 - 2x + 5 , which is parallel to the line 4x - y = 10 .

Find the equation of the tangent to the curve y = x^2 - 4x + 11 which is parallel to the line 4x - y + 8 = 0

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

Find the equation of tangent to the curve y=3x^2-2x + 5 which is parallel to the line 4x - y =10 .

Find the equation of the tangent to the curve, y = x^2 - 3x + 7 which is parallel to the line 3x - y + 5 = 0 .

OMEGA PUBLICATION-APPLICATION OF DERIVATIVES -Important Questions from (Miscellaneous Exercise )
  1. An open box with a square base is to be made out of a given iron sheet...

    Text Solution

    |

  2. Show that the height of the cylinder of maximum volume that can be ins...

    Text Solution

    |

  3. Show that semi-vertical angle of right circular cone of given surface ...

    Text Solution

    |

  4. Using differentials, find the approximate value of ((17)/(81))^(1//4)

    Text Solution

    |

  5. Find the intervals in which the function f given by f(x) = x^3 + (1/x^...

    Text Solution

    |

  6. Find the intervals in which the function f given by f(x) = x^3 + (1/x^...

    Text Solution

    |

  7. The length x of a rectangle is decreasing at the rate of 5 cm/minute a...

    Text Solution

    |

  8. The length x of a rectangle is decreasign at the rate of 5 cm/min and ...

    Text Solution

    |

  9. If the sum of the lengths of hypotenuse and a side of a right-angled t...

    Text Solution

    |

  10. Manufacturer can sell x items at a price of rupees Rs(5-(x/100)) each...

    Text Solution

    |

  11. Show that the right circular cone of least curved surface and given vo...

    Text Solution

    |

  12. A window has the shape of a rectangle surmounted by an equilateral tri...

    Text Solution

    |

  13. The volume of a cube is increasing at the rate of 8 cm^(3)//s. How fas...

    Text Solution

    |

  14. Find the maximum value of 2x^3 - 24x + 107 in the interval [1,3]. Fin...

    Text Solution

    |

  15. The radius of a circle is increasing uniformly at the rate of 3 cm/s. ...

    Text Solution

    |

  16. Find the maximum profit that a company can make , if profit function i...

    Text Solution

    |

  17. Find the maximum and minimum values of x^4 -8x^3 +12x^2 - 48x+ 25 on...

    Text Solution

    |

  18. Prove that the radius of the right-circlar cylinder of greatest curved...

    Text Solution

    |

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

    Text Solution

    |

  20. Find the equation of the tangent line to the curve y = x^2 - 2x + 7, w...

    Text Solution

    |