Home
Class 12
MATHS
The slope of the tangent to the curve x=...

The slope of the tangent to the curve `x=at^3,y=at^4`at t=1 is

A

`-1//2`

B

`-2//3`

C

`1//4`

D

`4//3`

Text Solution

Verified by Experts

The correct Answer is:
D
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 slope of the tangent to the curve x^2+y^2=4 at (sqrt(2),sqrt(2)) is

The slope of the tangent to the curve y=sinx at x=pi//4 is

If the slope of the tangent to the curve xy+ax=by at (1,1) is 2, then (a,b)=

The slope of the tangent to the curve y=6+x-x^2 at (2,4) is

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 = 3x^(4) – 4x at x = 4.

Find the slope of the tangent to the curve y=x^(3)-x+1 at the point whose x co-ordinate is 2.

DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1B (TANGENT AND NORMAL)
  1. The slope of the tangent to the curve y=sinx at x=pi//4 is

    Text Solution

    |

  2. The slope of the tangent to the curve x^2+y^2=4 at(sqrt(2),sqrt(2)) is

    Text Solution

    |

  3. The slope of the tangent to the curve x=at^3,y=at^4at t=1 is

    Text Solution

    |

  4. Slope of the normal to the curve y=cos2x "at" x=pi//6 is

    Text Solution

    |

  5. Slope of the normal curve xy=12 at (3,4) is

    Text Solution

    |

  6. Slope of the normal to the curve x^3+y^3=6xy at (3,3) is

    Text Solution

    |

  7. The slope of the normal to the curve x=a(theta-sintheta),y=a(1 -costhe...

    Text Solution

    |

  8. Slope of the normal to the curvex=a(t+sint),y=a(t-sint) is

    Text Solution

    |

  9. If normal of the curve is parallel to x axis then

    Text Solution

    |

  10. If the slope of the tangent to the curve xy+ax=by at (1,1) is 2, then ...

    Text Solution

    |

  11. The equation of the tangent to the curvey=x^3+1 at (1,2) is

    Text Solution

    |

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

    Text Solution

    |

  13. The equation of the tangent to the curve y(x+1)=4 at the point (2,4//3...

    Text Solution

    |

  14. The equation of the tangent to the curve 2x^2-xy+3y^2=18 at (3,1) is

    Text Solution

    |

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

    Text Solution

    |

  16. The equation of the tangent to the curve y=x^3-2x+7 at (x1,y1) is

    Text Solution

    |

  17. The equation of the tangent to the curve y=(6x)/(x^2-1) at (2,4) is

    Text Solution

    |

  18. The equation of the tangent to the curve y=8/(4+x^2) at x=2 is

    Text Solution

    |

  19. Equation of the tangent line at x=a to the curve y=alogsecx/a is

    Text Solution

    |

  20. Equation of the tengent line at y=a//4 to the curve y(x^2+a^2)=ax^2 is

    Text Solution

    |