Home
Class 12
MATHS
If the tangent line at a point (x ,\ ...

If the tangent line at a point `(x ,\ y)` on the curve `y=f(x)` is parallel to y-axis, find the value of `(dx)/(dy)` .

Text Solution

Verified by Experts

`dy/dx​=∞⇒tanθ=tan90^o⇒θ=90^o`
`dy/dx​ =cotθ` where θ is angle made by tangent with x-axis
=`cot(90^o)`
=0
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 the tangent line at a point (x ,\ y) on the curve y=f(x) is parallel to x-axis, then write the value of (dy)/(dx) .

if y=(e^(-ax))(tan x) The tangent at a given point on the curve is parallel to x-axis.Find a.

Find the point on the curve y=x^(3)-3x at which tangent is parallel to X-axis.

The point at which the tangent to the curve y=x^(2)-4x is parallel to x-axis, is

If the tangent to the curve y=f(x) is perpendicular to y -axis then

If the tangent to the curve y=f(x) is perpendicular to y -axis then

If the tangent to a curve at a point (x ,\ y) is equally inclined to the coordinate axes, then write the value of (dy)/(dx) .

If tangent to the curve y=f(x) at any point is parallel to y -axis,then at that point (dy)/(dx) equals to

RD SHARMA-TANGENTS AND NORMALS-Solved Examples And Exercises
  1. Write the value of (dy)/(dx) , if the normal to the curve y=f(x) at...

    Text Solution

    |

  2. If the tangent to a curve at a point (x ,\ y) is equally inclined t...

    Text Solution

    |

  3. If the tangent line at a point (x ,\ y) on the curve y=f(x) is para...

    Text Solution

    |

  4. Find the slope of the normal at the point ' t ' on the curve x=1/t ...

    Text Solution

    |

  5. Write the coordinates of the point on the curve y^2=x where the tan...

    Text Solution

    |

  6. Write the angle made by the tangent to the curve x=e^tcott , y=e^ts...

    Text Solution

    |

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

    Text Solution

    |

  8. Find the coordinates of the point on the curve y^2=3-4x where tange...

    Text Solution

    |

  9. Write the equation of the tangent to the curve y=x^2-x+2 at the poin...

    Text Solution

    |

  10. Write the angle between the curves y^2=4x and x^2=2y-3 at the point...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |