Home
Class 12
MATHS
For the curve y = 4x^(3) – 2x^(5) , find...

For the curve y =` 4x^(3) – 2x^(5)` , find all the points at which the tangent passes through the origin.

Text Solution

Verified by Experts

The correct Answer is:
. (0, 0), (1, 2), (–1, –2)
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    NCERT TAMIL|Exercise EXERCISE 6.4|23 Videos

  • APPLICATION OF DERIVATIVES

    NCERT TAMIL|Exercise EXERCISE 6.5|48 Videos

  • APPLICATION OF DERIVATIVES

    NCERT TAMIL|Exercise EXERCISE 6.2|23 Videos

  • APPLICATION OF INTEGRALS

    NCERT TAMIL|Exercise Miscellaneous Exercise|19 Videos

Similar Questions

Explore conceptually related problems

Find the point on the curve y = x^(3) – 11x + 5 at which the tangent is y = x – 11.

Find a point on the curve y = (x – 2)^(2) at which the tangent is parallel to the chord joining the points (2, 0) and (4, 4).

The tangent to the curve y=xe^(x^2) passing through the point (1,e) also passes through the point

Find the points on the curve x^(2) + y^(2) – 2x – 3 = 0 at which the tangents are parallel to the x-axis.

Find the points on the curve y^(2) - 4xy = x^(2) + 5 for which the tangent is horizontal.

Find the points on the curve y = x 3 at which the slope of the tangent is equal to the y-coordinate of the point.

The point of curve y= 2x^(2) - 6x -4 at which the tangent is parallel to x-axis is

Find the equation of the hyperbola which has 3x-4y+7=0 and 4x+3y+1=0 as its asymptotes and which passes through the origin.

The slope of the tangent line of a curve is given by 2x^(3)+4x^(2)-3x+2 . Find the equation of the curve if it passes through (0,2).

Find the equation of the normal to the curve x^3+y^3=8x y at the point where it meets the curve y^2=4x other than the origin.

NCERT TAMIL-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 to the given curves at the indicated...

    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 t...

    Text Solution

    |

  12. Find the points on the curve x^(2) + y^(2) – 2x – 3 = 0 at which the t...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. Prove that the curves x = y^(2) and xy = k cut at right angles* if 8k^...

    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 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 poin

    Text Solution

    |