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

Find the equations of the tangent and the normal to the curve `x^(2//3)+y^(2//3)=2` at `(1,\ 1)` at indicated points.

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    MODERN PUBLICATION|Exercise EXERCISE 6 (c) (Long Answer Type Questions (I))|42 Videos

  • APPLICATIONS OF DERIVATIVES

    MODERN PUBLICATION|Exercise EXERCISE 6 (c) (Long Answer Type Questions (I))(HOTS)|12 Videos

  • APPLICATIONS OF DERIVATIVES

    MODERN PUBLICATION|Exercise EXERCISE 6 (b) (Long Answer Type Questions (II))|1 Videos

  • APPLICATIONS OF THE INTEGRALS

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

Similar Questions

Explore conceptually related problems

Find the equations of the tangent and normal to the curve x^((2)/(3))+y^((2)/(3))=2

Find the equations of the tangent and the normal to the curve (x^2)/(a^2)+(y^2)/(b^2)=1 at (x_1,\ y_1) at the indicated points.

Find the equations of the tangent and the normal to the curve x=a t^2,\ \ y=2a t at t=1 .

Find the equations of the tangent and the normal to the curve y^2=(x^3)/(4-x) at (2,\ -2) at the indicated points

Find the equation of tangent and normal to the curve x^((2)/(3))+y^((2)/(3))=2 at (1,1)

Find the equations of the tangent and the normal to the curve 4x^2+9y^2=36 at (3costheta,\ 2sintheta) at indicated points.

Find the equations of the tangent and the normal to the curve y=2x^2-3x-1 at (1,\ -2) at the indicated points

Find the equations of the tangent and the normal to the curve (x^2)/(a^2)-(y^2)/(b^2)=1 at (sqrt(2)a ,\ b) at indicated points.

Find the equation of tangent and normal to the curve 2y=3-x^(2) at (1, 1).

MODERN PUBLICATION-APPLICATIONS OF DERIVATIVES-EXERCISE 6 (c) (Short Answer Type Questions)
  1. Find the slope of the tangent to the curve : y=x^(3)-2x+8 at the poi...

    Text Solution

    |

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

    Text Solution

    |

  3. Find the slope of the normal to the curve : y=tan^(2)x+secx" at "x=(...

    Text Solution

    |

  4. The slope of the normal to the curve x=a(theta-sintheta), y=a(1-costhe...

    Text Solution

    |

  5. Find te slope of the normal to the curve x= a cos^(2) theta and y= a s...

    Text Solution

    |

  6. Equation of the tangent to the curve 2x^(2)+3y^(2)-5=0 at (1, 1) is

    Text Solution

    |

  7. Find the equation of the tangent line to the curve : y=x^(3)-3x+5 at...

    Text Solution

    |

  8. Find the equation of the tangent line to the curve y = cot^2x – 2 cot ...

    Text Solution

    |

  9. Find the equation of the tangent of the tangent to the curve y = (sec^...

    Text Solution

    |

  10. Find the equation of the tangent line to the following curves : y=x^...

    Text Solution

    |

  11. Find the equation of the tangent line to the following curves : y=x^...

    Text Solution

    |

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

    Text Solution

    |

  13. Find the equations of the tangent and the normal to the curve x^(2/...

    Text Solution

    |

  14. Find the equations of the tangent and the normal to the curve y = x^(4...

    Text Solution

    |

  15. Find the equation of the tangent line to the following curves : y=x^...

    Text Solution

    |

  16. Find the equation of the tangent line to the following curves : x=co...

    Text Solution

    |

  17. The equation of tangent to the curve x=a cos^(3) theta, y= a sin^(3) t...

    Text Solution

    |

  18. Find the equation of the normal line to the curve : (i) y=2x^(2)+3 s...

    Text Solution

    |