Home
Class 12
MATHS
If the normal at any point on the curve ...

If the normal at any point on the curve `x^(2//3) + y^(2//3) = a^(2//3)` makes an angle `phi` with the x-axis, then prove that the equation of the normal is `y cosphi - x sin phi = a cos 2 phi`

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    MODERN PUBLICATION|Exercise EXERCISE|433 Videos
  • APPLICATIONS OF THE INTEGRALS

    MODERN PUBLICATION|Exercise EXERCISE|211 Videos

Similar Questions

Explore conceptually related problems

The normal at the point (1,1) on the curve 2y + x^2 = 3 is:

The tangent to the curve y =x^3 +1 at (1,2) makes an angle theta with y-axis, then the value of tan theta is

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

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

The slope of normal to the curve y = x^2 +3 at x=1 is

MODERN PUBLICATION-APPLICATION OF DERIVATIVES-EXERCISE
  1. Find the equation of the normals to the curve y = x^3+2x+6 which are ...

    Text Solution

    |

  2. Find the equations of the normals to the curve: 3x^2-y^2=8, which are ...

    Text Solution

    |

  3. If the normal at any point on the curve x^(2//3) + y^(2//3) = a^(2//3)...

    Text Solution

    |

  4. Find the equation of the normal to curve x^2 = 4y which passes through...

    Text Solution

    |

  5. Find the equation of the normal to the curve: y^2 = 4x, which passes t...

    Text Solution

    |

  6. Find the equation of the tangent to the curve: y = x^2 - 2x + 9, which...

    Text Solution

    |

  7. Find the equation of tangent to the curve y = x^3 - 2x^2 - 2x at which...

    Text Solution

    |

  8. Find the equation of the tangent to the curve y = sqrt(5x-3), which is...

    Text Solution

    |

  9. Find the equation of the tangents to the function y = 4x^3 - 3x + 5, w...

    Text Solution

    |

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

    Text Solution

    |

  11. Find the equations of the normal to the curve: y = x^3 + 5x^2 - 10 x +...

    Text Solution

    |

  12. Find the equation of tangent to the curve given by x = a sin^3 t, y = ...

    Text Solution

    |

  13. Find the equation of the tangent at t = pi/4 to the curve: x = sin 3t,...

    Text Solution

    |

  14. Find the point(s) on the curve: y = 3x^2 - 12 x + 6 at which the tange...

    Text Solution

    |

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

    Text Solution

    |

  16. Find the point(s) on the curve: y = 1/4(x^2), where the slope of the t...

    Text Solution

    |

  17. Find the point(s) on the curve: y = x^2+1, at w2hich the slope of the ...

    Text Solution

    |

  18. Find the point(s) on the curve: y = x^2+1, at w2hich the slope of the ...

    Text Solution

    |

  19. Find the point on the curve y = x^3 -11x +5 at which the tangent is y ...

    Text Solution

    |

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

    Text Solution

    |