Home
Class 12
MATHS
Write the angle made by the tangent to...

Write the angle made by the tangent to the curve `x=e^tcost` , `y=e^tsint` at `t=pi/4` with the x-axis.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINE IN SPACE

    RD SHARMA ENGLISH|Exercise All Questions|159 Videos
  • THE PLANE

    RD SHARMA ENGLISH|Exercise All Questions|305 Videos

Similar Questions

Explore conceptually related problems

The angle made by any tangent to the curve x=a(t+sintcost) , y=(1+sint)^2 with x -axis is:

Find the equation of the tangent to the curve x=sin3t ,y=cos2t at t=pi/4dot

Find the equation of tangent to the curve x=sin3t , y=cos2t\ \ at t=pi/4

Draw the curve y=e^(x)

Find the length of sub-tangent to the curve y=e^(x//a)

Find the area erea angle which made by the tangent to the curve y(2a-x)=x^2 at point (a,a) its normal and x-axis.

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

The tangent to the curve given by x = e^(t) cos t y = e^(t) " sin t at t " = (pi)/(4) makes with x-axis an angle of

The equation of the tangent to the curve y = e^(2x) at (0,1) is

If m be the slope of the tangent to the curve e^(2y) = 1+4x^(2) , then

RD SHARMA ENGLISH-TANGENTS AND NORMALS-All Questions
  1. Find the slope of the normal at the point ' t ' on the curve x=1/t ...

    Text Solution

    |

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

    Text Solution

    |

  3. Write the angle made by the tangent to the curve x=e^tcost , y=e^tsi...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. The equation of the normal to the curve y=x(2-x) at the point (2,\ 0...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  19. The angle between the curves y^2=x and x^2=y at (1,\ 1) is tan^(-1)4...

    Text Solution

    |

  20. The equaiton of the normal to the curve 3x^(2) - y^(2) = 8 which is ...

    Text Solution

    |