Home
Class 12
MATHS
Find the equation of the tangent and nor...

Find the equation of the tangent and normal to each of the following curves at the specified points :
`x^((2)/(3))+ y^((2)/(3))=2"at" (1,1)`

Text Solution

Verified by Experts

The correct Answer is:
Tangent : `x+y=2`, Normal : `x-y=0`
Promotional Banner

Topper's Solved these Questions

  • TANGENT AND NORMAL

    CHHAYA PUBLICATION|Exercise LONG ANSWER TYPE QUESTIONS|50 Videos
  • TANGENT AND NORMAL

    CHHAYA PUBLICATION|Exercise A MULTIPLE CORRECT ANSWER TYPE|5 Videos
  • TANGENT AND NORMAL

    CHHAYA PUBLICATION|Exercise VERY SHORT ANSWER TYPE QUESTIONS|35 Videos
  • STRAIGHT LINE IN THREE DIMENSINAL SPACE

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination|19 Videos
  • TRANSFORMATIONS OF SUMS AND PRODUCTS

    CHHAYA PUBLICATION|Exercise Comprehension Type|6 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the tangent and normal of the following curves at the specified point: y=x^(2)+4x+1 at x=3

Find the equation of the tangent and normal to each of the following curves at the specified points : xy^(2)=18 at the point (2,3)

Find the equation of the tangent and normal of the following curve at the specified point : y=x^(3)-3x at the point (2,2)

Find the equation of the tangent and normal of the following curve at the specified point : (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 at (a cos theta, b sin theta)

Find the equation of the tangent and normal to each of the following curves at the specified points : y(x-2)(x-3)+7=x and the point, the where curve intersect the x-axis.

Find the equation of the tangent and normal to each of the following curves at the specified points : x=a ( theta- sin theta), y=a( 1- cos theta) at theta =pi

Find the equation of the tangent and normal to each of the following curves at the specified points : x= asec theta, y= b tan theta at the point theta

Find the equation of the tangent and normal of the following curves at the specified points : y^(2)=4 ax at the ends of latus rectum

Find the equations of the tangent and normal to the curve y=x^2-4x-5 at x= -2.

Find the equation of the tangent at the specified points to each of the following curves. the curve x^((2)/(3))+y^((2)/(3))=a^((2)/(3))"at" (x_(1),y_(1))

CHHAYA PUBLICATION-TANGENT AND NORMAL -SHORT ANSWER TYPE QUESTIONS
  1. Find the equation of the tangent and normal to each of the following c...

    Text Solution

    |

  2. Find the equation of the tangent and normal to each of the following c...

    Text Solution

    |

  3. Find the equation of the tangent and normal to each of the following c...

    Text Solution

    |

  4. Show that the equation of the normal to the hyperbola x= a sec theta,...

    Text Solution

    |

  5. Find the equation of tangent to the circle x^(2)+y^(2)=a^(2) at the po...

    Text Solution

    |

  6. If the tangent to the curve y=x^(3)+ax+b at (1,-6) is paralle to the l...

    Text Solution

    |

  7. The slope to the tangent to the parabola 3y^(2)=8x at the point ((2)/(...

    Text Solution

    |

  8. Find the equations of the tangents to the circle x^(2)+y^(2)=16 having...

    Text Solution

    |

  9. The slope of tangent to the ellipse x^(2)+4y^(2)=4 at the point (2 cos...

    Text Solution

    |

  10. Find the equation of the tangnet to the curve y=sqrt(3x-2) which is pa...

    Text Solution

    |

  11. Find the point on the curve y=x^(3) where the slop of the tangent is e...

    Text Solution

    |

  12. Using calculus find the cordinates of the point on the parabola y^(2)=...

    Text Solution

    |

  13. Find the eqauations of the tangent to the ellipse 4x^(2)+9y^(2)=36 at ...

    Text Solution

    |

  14. Find the equation of the tangent to the parabola y^(2)=8x which is inc...

    Text Solution

    |

  15. Find the equation of the tangent to the ellise x^(2)+16y^(2)=16 at the...

    Text Solution

    |

  16. Find the equation of the tangnet to the hyperbola 3x^(2)-4y^(2)=12, wh...

    Text Solution

    |

  17. Prove the equation of the tangent from any point on the line 3x-8y+2=0...

    Text Solution

    |

  18. If the length of the length drawn from (f,g) to the circle x^(2)+y^(2...

    Text Solution

    |

  19. Show that the equation of the normal to the ellipse (x^(2))/(25)+(y^(2...

    Text Solution

    |

  20. Show that the equation of the normal to the hyperbola (x^(2))/(a^(2))-...

    Text Solution

    |