Home
Class 12
MATHS
Show that the tangents to the curve y = ...

Show that the tangents to the curve `y = 2x^3 - 3 ` at the points where x = 2 and x = -2 are parallel.

Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    PRADEEP PUBLICATION|Exercise EXERCISE|502 Videos

  • APPLICATIONS OF INTEGRALS

    PRADEEP PUBLICATION|Exercise EXERCISE|162 Videos

Similar Questions

Explore conceptually related problems

Show that the tangents to the curve y = 2x^3-4 at the points x = 2 and x =-2 are parallel.

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

Prove that the tangents to the curve y=x^2 - 5x + 6 at the points (2,0) and (3,0) are at right-angles.

Find the slope of the tangent to the curve y = x^3-x at x=2

Find the slope of the tangent to the curve: y=x^3 - 2x+8 at the point (1,7).

find the slope of the tangent to the curve y = x^3 - 3x+2 at the point whose x-coordinate is 2.

Find the slope of the tangent to the curve y = x^3-3x+2 at the point whose x-coordinate is 3.

Find the equations of the tangent line to the curve: y=x^3 - 3x +5 at the point (2,7)

Find the equation of the tangent to the curve y = (x-7)/((x-2)(x-3)) at the point where it cuts the x-axis.

PRADEEP PUBLICATION-APPLICATIONS OF DERIVATIVES-EXERCISE
  1. Find the equation of the tangent to the curve sqrtx + sqrty = a at the...

    Text Solution

    |

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

    Text Solution

    |

  3. Show that the tangents to the curve y = 2x^3 - 3 at the points where ...

    Text Solution

    |

  4. Prove that the tangents to the curve y=x^2 - 5x + 6 at the points (2,0...

    Text Solution

    |

  5. Find the point of intersection of the tangetn lines to the curve y = 2...

    Text Solution

    |

  6. Find the points on the curve 4 y = x^3 where the slope of the tangent ...

    Text Solution

    |

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

    Text Solution

    |

  8. Find the equation of the tangent to the curve x^2 + 3y = 3, which is p...

    Text Solution

    |

  9. Find the point on the curve y=2x^(3)-15x^(2)+36x-21 at which the tange...

    Text Solution

    |

  10. Find points on the curve x^2/4 + y^2/25 = 1at which the tangents are ...

    Text Solution

    |

  11. Find points on the curve x^2/4 + y^2/25 = 1 at which the tangents are ...

    Text Solution

    |

  12. Find the equations of the tangents to the curve: y = x^3 + 2 x -4. Whi...

    Text Solution

    |

  13. Find the equations of the tangents to the curve: y = x^3 + 2 x -4. Whi...

    Text Solution

    |

  14. Find a point on the curve y = (x-3)^2 where the tangent is parallel to...

    Text Solution

    |

  15. At what point of the curve y = x^2 does the tangent make an angle of 4...

    Text Solution

    |

  16. Find the equations of the tangents to the curve 3x^2 - y^2 = 2 which a...

    Text Solution

    |

  17. Show that the curve xy=a^(2)andx^(2)+y^(2)=2a^(2) touch each other.

    Text Solution

    |

  18. Prove that the curves xy = 4 and x^2+y^2 =8 touch each other.

    Text Solution

    |

  19. Prove that the curves y^2 = 4x and x^2 + y^2 - 6x + 1 = 0 touch each o...

    Text Solution

    |

  20. Find the equations of normal(s) to the curve x^2 + 2y^2 - 4x - 6y + 8 ...

    Text Solution

    |