Home
Class 12
MATHS
Find the equations of the tangent and no...

Find the equations of the tangent and normal to the parabola `y^(2) `= 4ax at the point `(at^(2)` , 2at).

Text Solution

Verified by Experts

The correct Answer is:
`ty = x + at^(2) , y = – tx + 2at + at^(3)`
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    NCERT TELUGU|Exercise EXERCISE 6.4|23 Videos

  • APPLICATION OF DERIVATIVES

    NCERT TELUGU|Exercise EXERCISE 6.5|47 Videos

  • APPLICATION OF DERIVATIVES

    NCERT TELUGU|Exercise EXERCISE 6.2|22 Videos

  • APPLICATION OF INTEGRALS

    NCERT TELUGU|Exercise Miscellaneous Exercise|19 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the tangent and normal to the Parabola y^(2)= 8x at (2, 4)

Find the equations of the tangent and normal to the parabola y^(2) =6x at the positive end of the latus rectum

The equation of the tangent to the parabola y^(2) = 4x at the point t is

Find the equation of the tangent and normal to the parabola x^(2)-4x-8y+12=0 at (4,(3)/(2))

Find the equations of the tangent and the normal to the curve y^(4)=ax^(3) at (a,a)

Find the equations of tangent and normal to the curve y=(8)/(4+x^(2)) at the point x=2

Find the equation of the common normal to the parobolas y^(2) = 4ax and x^(2) = 4ay.

Find the equation of tangent to the parabola y^(2)=8ax at (2a , 4a)

The equation of the tangent to the parabola x^(2)=4y at (-2,1) is

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

    Text Solution

    |

  2. Find points on the curve (x^(2))/(9) +(y^(2))/(16) =1 at which the tan...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    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) + 11 at the points wher...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  12. The point on the curve x^2+y^2-2x-3=0 at which the tangent is parallel...

    Text Solution

    |

  13. Find the equation of the normal at the point (am^2, am^3) for the cur...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. The condition that the two curves x=y^2,xy=k cut orthogonally is

    Text Solution

    |

  17. Find the equation of tangent and normal to the hyprobola x^(2)=4y at (...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |