Home
Class 12
MATHS
Find the equations of the normal to the ...

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

Promotional Banner

Topper's Solved these Questions

  • 3D COORDINATION SYSTEM

    CENGAGE PUBLICATION|Exercise DPP 3.1|11 Videos
  • APPLICATION OF INTEGRALS

    CENGAGE PUBLICATION|Exercise All Questions|143 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 equation of the normal to the curve 3x^2-y^2=8 which is parallel to the line x+3y=4.

Find the equation of the normal to the curve y=|x^2-|x||a t x=-2.

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

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

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

Find the equation of the normal to the circle x^2+y^2-2x=0 parallel to the line x+2y=3.

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 (b) perpendicular to the line 5y – 15x = 13.

Find the equation of tangents to the curve 4x^2-9y^2=1 which are parallel to 4y=5x+7.

Find the equation of the normal to the curve x^(2)=4y, which passes through the point (1,2).

CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
  1. The lateral surface area of a cube is 169sq.cm., then the volume of th...

    Text Solution

    |

  2. Consider the polynomial function f(x)=x^7/7-x^6/6+x^5/5-x^4/4+x^3/3-x^...

    Text Solution

    |

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

    Text Solution

    |

  4. A sheet of area 40m^2 is used to make an open tank with square base. F...

    Text Solution

    |

  5. Let y=f(x) be a polynomial of odd degree (geq3) with real coefficients...

    Text Solution

    |

  6. Find the equation of tangent and normal to the curve x=(2a t^2)/((1+t^...

    Text Solution

    |

  7. Find the points on the curve 5x^2-8x y+5y^2=4 whose distance from the ...

    Text Solution

    |

  8. If d is the minimum distance between the curves f(x)=e^x a n dg(x)=(l...

    Text Solution

    |

  9. L L ' is the latus rectum of the parabola y^2= 4ax and PP' is a doubl...

    Text Solution

    |

  10. Let f(x0 be a non-constant thrice differentiable function defined on (...

    Text Solution

    |

  11. The tangent to the parabola y=x^2 has been drawn so that the abscissa ...

    Text Solution

    |

  12. Points on the curve f(x)=x/(1-x^2) where the tangent is inclined at an...

    Text Solution

    |

  13. The sum of the perimeter of a circle and square is k, where k is so...

    Text Solution

    |

  14. Separate the intervals of monotonocity for the function f(x)=x^2e^(-x)

    Text Solution

    |

  15. If f is a continuous function on [0,1], differentiable in (0, 1) such ...

    Text Solution

    |

  16. Separate the intervals of monotonocity for the function f(x)=-2x^3-9x^...

    Text Solution

    |

  17. Given g(x)=(x+2)/(x-1) and the line 3x+y-10=0. Then the line is tangen...

    Text Solution

    |

  18. Let g(x)=(f(x))^3-3(f(x))^2+4f(x)+5x+3sinx+4cosxAAx in Rdot Then prov...

    Text Solution

    |

  19. Let f be a continuous, differentiable, and bijective function. If the ...

    Text Solution

    |

  20. Find the intervals of decrease and increase for the function f(x)=cos(...

    Text Solution

    |