Home
Class 12
MATHS
The length of the tangent of the curve y...

The length of the tangent of the curve `y=x^3+1` at (1, 2) is

A

`sqrt(10)`

B

`2sqrt(10)`

C

`2sqrt(10)//3`

D

6

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1C (RATE OF CHANGE)|78 Videos

  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1D (MEAN VALUE THEOREMS)|28 Videos

  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1A (APPROXIMATIONS AND ERRORS)|67 Videos

  • ADDITION OF VECTORS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 4|8 Videos

  • BINOMIAL THEOREM

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 4|4 Videos

Similar Questions

Explore conceptually related problems

The equation of the tangent to the curve y=x^3+1 at (1,2) is

The length of the tangent of the curve y^2=x^3/(2a-x) at (a, a) is

The equation of the tangent to the curve 6y=7-x^3 at (1,1) is

The length of the normal to the curve y=x^2+1 at (1, 2) is

The length of the tangent of the curve 2x^2+3xy-2y^2=8 at (2, 3) is

The equation of the tangent to the curve y=x^3-2x+7 at (1,6) is

The length of the subtangent of the curve x^(2) + 3 xy + 2y^(2) =0 at (1,2) is

DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1B (TANGENT AND NORMAL)
  1. If the curves y^2=6x,9x^2+by^2=16, cut each other at right angles then...

    Text Solution

    |

  2. Angle between then tangents to the curve y=x^2-5x+6 at the points (2, ...

    Text Solution

    |

  3. The length of the tangent of the curve y=x^3+1 at (1, 2) is

    Text Solution

    |

  4. The length of the tangent of the curve y^2=x^3/(2a-x) at (a, a) is

    Text Solution

    |

  5. The length of the tangent of the curve 2x^2+3xy-2y^2=8 at (2, 3) is

    Text Solution

    |

  6. The length of the tangent of the curve x=acos^3theta,y=asin^3theta(a>0...

    Text Solution

    |

  7. The length of the normal to the curve y=x^2+1 at (1, 2) is

    Text Solution

    |

  8. The length of the normal to the curve y=c cos ((hx)/c) at any point is

    Text Solution

    |

  9. The length of the normal to the curve y^2=x^3/(2a-x) at (a,a) is

    Text Solution

    |

  10. The length of the normal of the curve 2x^2+3xy-2y^2=8 at (2, 3) is

    Text Solution

    |

  11. The length of the normal to the curves x=acos^3theta,y=asin^3theta(agt...

    Text Solution

    |

  12. The length of the normal at pon the curve x=a(t+sint),y=a(1-cost) is

    Text Solution

    |

  13. The length of the normal to the curve y=a((e^(-x//a)+e^(x//a))/2) at a...

    Text Solution

    |

  14. The length of subtangent to y=be^(x//a) at any point is

    Text Solution

    |

  15. The length of the subtangent at any point (x1,y1) on the curve y=5^x i...

    Text Solution

    |

  16. The length of subtangent to sqrt(x)+sqrt(y)=3 at (4, 1) is

    Text Solution

    |

  17. The length of subtangent to x^2y^2=a^4 at (a,a) is

    Text Solution

    |

  18. The length of subtangent to x^2+xy+y^2=7 at (1, -3) is

    Text Solution

    |

  19. The length of subtangent to y=xsinx at x=pi//2 is

    Text Solution

    |

  20. The length of the subtangent to the curve y^2=x^2/(2a-x) at (a,a) is

    Text Solution

    |