Home
Class 12
MATHS
The tangent to the curve y=x^(3)+1 at(1,...

The tangent to the curve `y=x^(3)+1` at(1, 2) makes an angle `theta` with y-axis, then the value of tan `theta` is

A

3

B

`(1)/(3)`

C

`-(1)/(3)`

D

`-3`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    MODERN PUBLICATION|Exercise Latest Questions from AIEEE/JEE Examinations|13 Videos

  • AREA UNDER CURVES

    MODERN PUBLICATION|Exercise Recent Competitive Questions (Question from karnataka CET & COMED)|9 Videos

Similar Questions

Explore conceptually related problems

Tangents to the curve y=x^(3) at points (1, 1) and (-1, -1) are :

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

The tangent to the curve y = e^(2x) at the point (0,1) meets x-axis at

A tangent to the parabola y^(2)=a x makes an angle 45^(circ) with the x -axis, then its point of contact is

The tangent to the parabola x^(2) = 2y at the point (1,1/2) makes with x-axis an angle

The point on the curve y^(2) = x where the tangent makes an angle (pi)/(4) with X-axis is

If for the curve y=1+bx-x^(2) the tangent at (1, -2) is parallel to x-axis, then b =

MODERN PUBLICATION-APPLICATION OF DERIVATIVES -Recent Competitive Questions (Questions from Karnataka CET & COMED)
  1. The slopes of the tangent and normal at (0, 1) for the curve y=sinx+e^...

    Text Solution

    |

  2. A stone is thrown vertically upwards and the height x ft, reached by ...

    Text Solution

    |

  3. If sin^(-1) a is the acture angle between the curves x^(2) + y^(2) =4x...

    Text Solution

    |

  4. The maximum area of rectangle that can be inscribed in a circle of rad...

    Text Solution

    |

  5. A stone is dropped into a quiet lake and waves in circles at the speed...

    Text Solution

    |

  6. A gardener is digging a plot of land. As he gets tired, he works more ...

    Text Solution

    |

  7. If f(x)=x^(3) and g(x)=x^(3)-4x in -2lt x lt 2, then consider the stat...

    Text Solution

    |

  8. The tangent to the curve y=x^(3)+1 at(1, 2) makes an angle theta with ...

    Text Solution

    |

  9. The maximum value of ((1)/(x))^(2x^(2)) is :

    Text Solution

    |

  10. Let x be a number which exceeds its square by the greatest possible qu...

    Text Solution

    |

  11. The sub tangent at x=(pi)/(2) on the curve y=sin x is :

    Text Solution

    |

  12. A balloon which always remains spherical is being inflated by pump...

    Text Solution

    |

  13. The two curves x^(3) - 3xy^(2) + 2 = 0 and 3x^2y - y^(3) = 2

    Text Solution

    |

  14. If x is real, the minimum value of x^(2)-8x+17 is :

    Text Solution

    |

  15. The slant height of a cone is fixed at 7 cm. If the rate of increase ...

    Text Solution

    |

  16. If S^(2)=at^(2)+2bt+c, then the acceleration is :

    Text Solution

    |

  17. The value of 'c' in Lagrange's Theorem for the function f(x)=log(sinx)...

    Text Solution

    |

  18. A ladder 5 m long is leaning against a well. The bottom of the ladder ...

    Text Solution

    |

  19. The angle between the curves : y^(2)=4ax and ay=2x^(2) is :

    Text Solution

    |

  20. The maximum area in square units of an isosceles triangle inscribed in...

    Text Solution

    |