Home
Class 12
MATHS
The slope of the normal to the curve y =...

The slope of the normal to the curve `y = 2x^2+3 sinx ` at `x=0` is:

A

3

B

`1/3`

C

-3

D

`-1/3`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 1 MARK - TYPE-II|18 Videos

  • APPLICATIONS OF DERIVATIVES

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 1 MARK - TYPE-III|8 Videos

  • APPLICATIONS OF DERIVATIVES

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 2 MARKS|18 Videos

  • APPLICATIONS OF INTEGRALS

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 2 MARKS|17 Videos

Similar Questions

Explore conceptually related problems

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

The slope of normal to the curve y = x^2 +3 at x=1 is

Find the slope of the normal to the curve y = x^3-xat x = 2

Find the slope of the normal to the curve: y=2x^2 - 1 at (1,1)

Find the slope of the normal to the curve y = x^3 at the point whose abscissa is 2.

Find the slope of the normal to the curve x = 1 − sin 2 θ , y = cos 2 θ at θ = π .

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

ACCURATE PUBLICATION-APPLICATIONS OF DERIVATIVES-QUESTIONS CARRYING 1 MARK - TYPE-I
  1. The slope of tangent to the curve y=3-x^(2) at x = 1 is

    Text Solution

    |

  2. The slope of the tangent to the curve x = t^2+3t-8, y = 2t^2-2t-5at th...

    Text Solution

    |

  3. The slope of the normal to the curve y = 2x^2+3 sinx at x=0 is:

    Text Solution

    |

  4. The line y = x + 2, is a tangent to the curve y^2 = 4x at the point :

    Text Solution

    |

  5. The line y = x + 1, is a tangent to the curve y^2= 4x at the point :

    Text Solution

    |

  6. The normal at the point (1,1) on the curve 2y + x^2 = 3 is:

    Text Solution

    |

  7. The points on the curve 9y^2 = x^3 , where the normal to the curve mak...

    Text Solution

    |

  8. On which of the following intervals is the function 'f' given by f(x) ...

    Text Solution

    |

  9. The interval in which y=x^(2)e^(-x) is strictly increasing is

    Text Solution

    |

  10. The interval for which the function f(x)=x^2-4x-5, is strictly increas...

    Text Solution

    |

  11. The abscissa of the point on the curve 3y=6x-5x^3, the normal at which...

    Text Solution

    |

  12. The two curves x^3-3xy^2+2=0 and 3x^2y-y^3=2

    Text Solution

    |

  13. The tangent to the curve given by: x=e^t cos t,y =e^t sin t at t = pi/...

    Text Solution

    |

  14. The equation of the normal to the curve y = sin x at (0,0) is

    Text Solution

    |

  15. The point on the curve y^2=x, where the tangent makes an angle of pi/4...

    Text Solution

    |

  16. The curve y=x^(1/5) has at (0, 0)

    Text Solution

    |

  17. Find the equations of the normals to the curve: 3x^2-y^2=8, which are ...

    Text Solution

    |

  18. If the curve at ay+x^(2)=7 and x^(3)=y, cut orthogonally at (1, 1), th...

    Text Solution

    |

  19. The equation of tangent to the curve y(1+x^(2))=2-x, where it crosses ...

    Text Solution

    |

  20. The points at which the tangents to the curve y=x^(3)-12x+18 are paral...

    Text Solution

    |