Home
Class 12
MATHS
Find the points on the curve x^3-2x^2...

Find the points on the curve `x^3-2x^2-2x` at which the tangent lines are parallel to the line `y=2x-3` .

Text Solution

Verified by Experts

The correct Answer is:
`2x-y-8=0 and 2x-y+(40)/(27)=0`
Promotional Banner

Topper's Solved these Questions

  • 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 (d) (Long Answer Type Questions (I))|46 Videos

  • APPLICATIONS OF DERIVATIVES

    MODERN PUBLICATION|Exercise EXERCISE 6 (c) (Short Answer Type Questions)|18 Videos

  • APPLICATIONS OF THE INTEGRALS

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

Similar Questions

Explore conceptually related problems

Find the points on the curve y=x^(3)-2x^(2)-x at which the tangent lines are parallel to the line y=3x-2

Find the points on the curve y=x^3-2x^2-x at which the tangent lines are parallel to the line y=3x-2 .

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 x^2+y^2-2x-3=0 at which the tangents are parallel to the x-axis and y-axis.

Find the points on the curve y=x^(3)-2x^(2)-x, where the tangents are parallel to 3x-y+1=0

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

Find a point on the curve y=3x^(2)-2x - 4 at which the tangent is parallel to the line 10x-y+7=0 .

Determine the points on the curve 2y = (3 - x^(2)) at which the tangent is parallel to the line x + y = 0

Find the point on the curve y=3x^2-4x+5 where the tangent line is parallel to the line y=-22x+7

Find the points on the curve y=x^3-2x^2+x at which the tangents are parallel to x-axis. Also find the tangents at these points.

MODERN PUBLICATION-APPLICATIONS OF DERIVATIVES-EXERCISE 6 (c) (Long Answer Type Questions (I))
  1. (i) Find the equation of the normal to the curve : x^(2)=4y, which pas...

    Text Solution

    |

  2. Find the equation of the tangent to the curve : y=3x^(2)-2x+5, which i...

    Text Solution

    |

  3. Find the points on the curve x^3-2x^2-2x at which the tangent li...

    Text Solution

    |

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

    Text Solution

    |

  5. Find the equations of tangent lines to the curve y=4x^3-3x+5, which ar...

    Text Solution

    |

  6. Find the equations of the normal to the curve y=x^3+2x+6 which are par...

    Text Solution

    |

  7. Find the equation of the normal to the curve : y=x^(3)+5x^(2)-10x+10, ...

    Text Solution

    |

  8. Find the equations of the normal to the curve y=4x^(3)-3x+5, which are...

    Text Solution

    |

  9. Find the equation of tangent to the curve given byx=asin^3t ,y=bcos^3t...

    Text Solution

    |

  10. Find the equation of the tangent at t=(pi)/(4) to the curve : x=sin 3t...

    Text Solution

    |

  11. Find the point(s) on the curve : (i) y=3x^(2)-12x+6 (ii) x^(2)+y^...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  15. Find the points on the following curve at which the tangents are paral...

    Text Solution

    |

  16. At what point on the circle x^2+y^2-2x-4y+1=0, the tangent is parallel...

    Text Solution

    |

  17. Find points on the curve (x^2)/4+(y^2)/(25)=1at which the tangents ar...

    Text Solution

    |

  18. Show that the tangents to the curve y=7x^3+11 at the points x=2 and...

    Text Solution

    |

  19. Find the equations of all lines having slope 0 which are tangent to t...

    Text Solution

    |

  20. Find the equations of all lines : having slope -1 and that are tange...

    Text Solution

    |