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

Find the equations of the tangent to the given curves at the indicated points:
x= cos t , y =sin t at t = `(pi)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
Tangent: x + y − `sqrt(2)` = 0; Normal x = y
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    NCERT GUJARATI|Exercise EXERCISE 6.4|23 Videos

  • APPLICATION OF DERIVATIVES

    NCERT GUJARATI|Exercise EXERCISE 6.5|48 Videos

  • APPLICATION OF DERIVATIVES

    NCERT GUJARATI|Exercise EXERCISE 6.2|23 Videos

  • APPLICATION OF INTEGRALS

    NCERT GUJARATI|Exercise Miscellaneous Exercise|19 Videos

Similar Questions

Explore conceptually related problems

Find the equations of the tangent and normal to the given curves at the indicated points : x=cos t, y=sin t at t=(pi)/(4)

Find the equations of the tangent and normal to the given curves at the indicated points : y=x^(3) at (1, 1)

Find the equations of the tangent and normal to the given curves at the indicated points : y=x^(2) at (0, 0)

Find the equations of the tangent and normal to the given curves at the indicated points : y=x^(4)-6x^(3)+13x^(2)-10x+5 at (0, 5)

Find the equations of the tangent and normal to the given curves at the indicated points : y=x^(4)-6x^(3)+13x^(2)-10x+5 at (1,3)

Find the equations of the tangent to the curve y=cos(x+y) which is parallel to the line x+2y=0 .

Find the equation of tangent to the curve given by x=a sin^(3)t, y=b cos^(3)t at a point where t=(pi)/(2) .

NCERT GUJARATI-APPLICATION OF DERIVATIVES-EXERCISE 6.3
  1. Find the equations of all lines having slope 0 which are tangent to t...

    Text Solution

    |

  2. Find points on the curve x^2/9 + y^2/16 = 1 at which the tangents are ...

    Text Solution

    |

  3. Find the equations of the tangent and normal to the given curves at ...

    Text Solution

    |

  4. find the equation of the tangent and normal to the given curves...

    Text Solution

    |

  5. Find a point on the curve y = x^(3), where the tangent to the curve is...

    Text Solution

    |

  6. Find the equations of the tangent and the normal to the curve y=x^2...

    Text Solution

    |

  7. Find the equations of the tangent to the given curves at the indicated...

    Text Solution

    |

  8. Find the equation of the tangent line to the curve y = x^(2) – 2x +7 w...

    Text Solution

    |

  9. Show that the tangents to the curve y=7x^3+11at the points where x = ...

    Text Solution

    |

  10. Find the points on the curve y=x^3 at which the slope of the tan...

    Text Solution

    |

  11. For the curve y=4x^3-2x^5,find all the points at which the tangent pa...

    Text Solution

    |

  12. Find the points on the curve x^2+y^2-2x-3=0at which the tangents are ...

    Text Solution

    |

  13. Find the equation of the normal at the point (a m^2,a m^3)for the curv...

    Text Solution

    |

  14. Find the equation of the normals to the curve y=x^3+2x+6which are par...

    Text Solution

    |

  15. Find the equations of the tangent and normal to the parabola y^2=4a x...

    Text Solution

    |

  16. Show that the curves x = y^2 and xy = k cut at right angles; if 8k^2 =...

    Text Solution

    |

  17. Find the equations of the tangent and normal to the hyperbola (x^2)/(...

    Text Solution

    |

  18. Find the equation of the tangent to the curve y=sqrt(3x-2) which is...

    Text Solution

    |

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

    Text Solution

    |

  20. The line y = x + 1 is a tangent to the curve y^(2) = 4x at the poin

    Text Solution

    |