Home
Class 12
MATHS
Write the slope of the normal to the ...

Write the slope of the normal to the curve `y=1/x` at the point `(3,1/3)`

Text Solution

Verified by Experts

Given, `y=1/x`
`dy/dx​=-1/x^2`
Slope of normal at a point `(3,1/3​)`
=`m=-1/(dy/dx)_(3,1/3)`
​ =`-1/(-1/3^2)`
=9
The slope of the normal to the curve is 9
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINE IN SPACE

    RD SHARMA|Exercise Solved Examples And Exercises|134 Videos

  • THE PLANE

    RD SHARMA|Exercise Solved Examples And Exercises|301 Videos

Similar Questions

Explore conceptually related problems

If m denotes the slope of the normal to the curve y= -3 log(9+x^(2)) at the point x ne 0 , then,

Equation of the normal to the curve y=-sqrt(x)+2 at the point (1,1)

Find the slope of normal to the curve 3x^(2) - y^(2) =8 at the point (2,2)

The equation of the normal to the curve 2y+x^(2)=3 at the point (1,1) is

Find the slope of tangent of the curve y =4x at the point (-1,4).

Slope of the normal to the curve : y^(2)=4x at (1, 2) is :

Find the slope of the normal to the curve : y=x^(3)-x+1" at "x=2

Find the slope of the normal to the curve to y=x^(3)-x+1 at x=2.

The slope of the normal to the curve y=2x^(2)+3sin x at x=0 is :

Find the slope of the tangent to the curve : y=x^(3)-2x+8 at the point (1, 7) .

RD SHARMA-TANGENTS AND NORMALS-Solved Examples And Exercises
  1. Write the angle between the curves y^2=4x and x^2=2y-3 at the point...

    Text Solution

    |

  2. Write the angle between the curves y=e^(-x) and y=e^x at their poin...

    Text Solution

    |

  3. Write the slope of the normal to the curve y=1/x at the point (3,1/...

    Text Solution

    |

  4. Write the coordinates of the point at which the tangent to the curv...

    Text Solution

    |

  5. Write the equation of the normal to the curve y=cosx at (0,\ 1) .

    Text Solution

    |

  6. The equation to the normal to the curve y=sinx at (0,\ 0) is x=0 (b...

    Text Solution

    |

  7. Find the equation of the tangent to the curve y=x-sinxcosx at x=pi/2

    Text Solution

    |

  8. The equation of the normal to the curve y=x(2-x) at the point (2,\ ...

    Text Solution

    |

  9. The point on the curve y^2=x where tangent makes 45o angle with x-axis...

    Text Solution

    |

  10. If the tangent to the curve x=a\ t^2,\ \ y=2a t is perpendicular to...

    Text Solution

    |

  11. The point on the curve y=x^2-3x+2 where tangent is perpendicular to...

    Text Solution

    |

  12. The point on the curve y=12 x-x^2 where the slope of the tangent is...

    Text Solution

    |

  13. The angle between the curves y^2=x and x^2=y at (1,\ 1) is tan^(-1)...

    Text Solution

    |

  14. The equation of the normal to the curve 3x^2-y^2=8 which is paralle...

    Text Solution

    |

  15. The equation of tangent at those points where the curve y=x^2-3x+2 ...

    Text Solution

    |

  16. The slope of the tangent to the curve x=t^2+3t-8,\ \ y=2t^2-2t-5 at...

    Text Solution

    |

  17. At what points the slope of the tangent to the curve x^2+y^2-2x-3=0...

    Text Solution

    |

  18. The angle of intersection of the curves x y=a^2 and x^2-y^2=2a^2 is...

    Text Solution

    |

  19. If the curve a y+x^2=7 and x^3=y cut orthogonally at (1,\ 1) , then a ...

    Text Solution

    |

  20. If the line y=x touches the curve y=x^2+b x+c at a point (1,\ 1) then ...

    Text Solution

    |