Home
Class 12
MATHS
Find the equation of the normal to the c...

Find the equation of the normal to the curve `y = 5x + x^2` which makes an angle `45^@` with x axis.

Text Solution

Verified by Experts

The correct Answer is:
x - y = 3
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 6f|19 Videos
  • APPLICATIONS OF DERIVATIVES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 6g|23 Videos
  • APPLICATIONS OF DERIVATIVES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 6d|24 Videos
  • APPLICATIONS OF INTEGRALS

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|19 Videos

Similar Questions

Explore conceptually related problems

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

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

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.

Find the point on the curve y^2=a x the tangent at which makes an angle of 45^@ with the x-axis.

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 .

Write the equation of the normal to the curve y=x+sinxcosx at x=pi/2 .

Find the equation of the tangent to the parabola y ^(2) = 12 x which makes an anlge of 60^(@) with the x-axis.

Find the point on the curve y^2=a x the tangent at which makes an angle of 45^0 with the x-axis.

Find the equation of the lines through the point (3, 2) which make an angle of 45^@ with the line x-2y=3 .

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

NAGEEN PRAKASHAN ENGLISH-APPLICATIONS OF DERIVATIVES-Exercise 6e
  1. Find the equation of normals of the following curves at the given poi...

    Text Solution

    |

  2. Find the equation of the normal to the curve y = 5x + x^2 which makes ...

    Text Solution

    |

  3. Find the equation of normal to the curve y(x-2)(x-3)-x+7=0 at that poi...

    Text Solution

    |

  4. Find the equation of normal to the curve x = at^(2), y=2at at point 't...

    Text Solution

    |

  5. Find the equation of the normal to the curve x = acostheta and y = b s...

    Text Solution

    |

  6. Find the equation of normal to the curve x = a cos^(3)theta, y=b sin^...

    Text Solution

    |

  7. Find the equations of tangent and normal to the ellipse (x^2)/(a^2)...

    Text Solution

    |

  8. (i) Find the co-ordinates of the points on the curve xy = 16 at which ...

    Text Solution

    |

  9. Find the equation of normal at point (4, 3) for the hyperbola 3x^(2) ...

    Text Solution

    |

  10. Find the equation of normal to the curves x=t^2, y=2t+1 at point

    Text Solution

    |

  11. Find the point on the curve 9y^2=x^3, where the normal to the curve ma...

    Text Solution

    |

  12. If the normal at point 't' of the curve xy = c^(2)meets the curve ag...

    Text Solution

    |

  13. Find the area erea angle which made by the tangent to the curve y(2a-x...

    Text Solution

    |

  14. Find the co-ordinates of the point on the curve y=x^(3)+4x^(2)+4x-12 a...

    Text Solution

    |

  15. If the normal drawn on the curve y = x^(2) +4 at point (1, 5) makes an...

    Text Solution

    |

  16. Find the equation of normal of the curve 2y= 7x - 5x^(2) at those poin...

    Text Solution

    |