Home
Class 12
MATHS
The slopes of the tangent and normal at ...

The slopes of the tangent and normal at (0, 1) for the curve `y=sinx+e^(x)` are respectively :

A

1 and -1

B

`-(1)/(2) and 2 `

C

`2 and -(1)/(2)`

D

`-1 and 1`

Text Solution

Verified by Experts

The correct Answer is:
C
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

The slopes of the tangent normal at (0.1 ) for the curve y= sin sin x = e^(x) are respectively

Find the slopes of the tangent and normal to the curve x^(3)+3xy+y^(3)=2 at (1, 1).

The slope of the normal to the curve y = 2x 2 + 3 sin x at x = 0 is

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

Find the equation of tangent and normal to the curve 2y=3-x^(2) at (1, 1).

The normal at the point (1,1) on the curve 2y = 3-x^(2) is

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

If m is the slope of the tangent to the curve, e^(y) =1 +x^(2) , then,

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

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

MODERN PUBLICATION-APPLICATION OF DERIVATIVES -Recent Competitive Questions (Questions from Karnataka CET & COMED)
  1. A wire of lenggth 20 cm is bent in the form of a sector of a circle. T...

    Text Solution

    |

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

    Text Solution

    |

  3. The slopes of the tangent and normal at (0, 1) for the curve y=sinx+e^...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |