Home
Class 12
MATHS
Find a point on the curve y = x^(3), whe...

Find a point on the curve `y = x^(3)`, where the tangent to the curve is parallel to the chord joining the points (1, 1) and (3, 27)

Text Solution

Verified by Experts

The correct Answer is:
Tangent: y = 3x – 2; Normal: x + 3y – 4 = 0
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    NCERT GUJARATI|Exercise EXERCISE 6.4|23 Videos

  • APPLICATION OF DERIVATIVES

    NCERT GUJARATI|Exercise EXERCISE 6.5|48 Videos

  • APPLICATION OF DERIVATIVES

    NCERT GUJARATI|Exercise EXERCISE 6.2|23 Videos

  • APPLICATION OF INTEGRALS

    NCERT GUJARATI|Exercise Miscellaneous Exercise|19 Videos

Similar Questions

Explore conceptually related problems

Find a point on the curve y= (x-3)^(2) , where the tangent is parallel to the chord joining the points (3,0) and (4,1).

Consider f(x)=int_1^x(t+1/t)dt and g(x)=f'(x) If P is a point on the curve y=g(x) such that the tangent to this curve at P is parallel to the chord joining the point (1/2,g(1/2)) and (3,g(3)) of the curve then the coordinates of the point P

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).

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) at which the slope of the tangent is equal to the y - coordinate of the point.

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

Find the points on the curve y= cos x-1 in x in [0, 2pi] , where the tangent is parallel to X-axis.

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

    Text Solution

    |

  2. Find points on the curve x^2/9 + y^2/16 = 1 at which the tangents are ...

    Text Solution

    |

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

    Text Solution

    |

  4. find the equation of the tangent and normal to the given curves...

    Text Solution

    |

  5. Find a point on the curve y = x^(3), where the tangent to the curve is...

    Text Solution

    |

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

    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+11at the points where x = ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. Show that the curves x = y^2 and xy = k cut at right angles; if 8k^2 =...

    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...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |