Home
Class 12
MATHS
If the inclination of the normal to the ...

If the inclination of the normal to the curve y=f(x) at the point (5,6) makes an anlge of `(2pi)/(3),` then f'(5)=

A

`sqrt(3)`

B

`-sqrt(3)`

C

`(-1)/(sqrt(3))`

D

`(1)/(sqrt(3))`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DEFINITEINTEGRAL

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS:(MCQ)|27 Videos

  • BINOMIAL DISTRIBUTION

    NIKITA PUBLICATION|Exercise MCQS|77 Videos

Similar Questions

Explore conceptually related problems

Inclination of the normal to the curve xy=15 at the point (3,5) is

Inclination of the normal to the curve xy=c^(2) , at the point x=c , is

If the normal to the curve y=f(x) at the point (3,4) makes an angle (3 pi)/(4) with the positive x-axis,then f'(3)=(a)-1(b)-(3)/(4) (c) (4)/(3)(d)1

If the normal to the curve y =f(x) at the point (1, 2) makes an angle 3pi//4 with the positive x-axis, then f'(1) is

If the normal to curve y = f (x) at the point (3,4) makes an angle (3pi)/(4) with positive x-axis then f'(3) equals:

Find the equation of the normal to the curve y=5x+x^(2) which makes an angle 45^(@) with x axis.

Find the equation of the normal to the curve y = 2 sin^(2) 3x "at " x = (pi)/(6)

Let y=f(x) be an even function, If f'(2)=-sqrt(3) then the inclination of the tangent to the curve y=f(x) at x=-2 with the x -axis is 1) (pi)/(6) 2) (pi)/(3) 3) (2 pi)/(3) 4) (5 pi)/(6)

NIKITA PUBLICATION-APPLICATIONS OF DERIVATIVES-MULTIPLE CHOICE QUESTIONS
  1. The equation of normal to the curve x^(2)+y^(2)=5, where the tangent i...

    Text Solution

    |

  2. The equation of the normal to the curve y=sqrt(x-3), which is parallel...

    Text Solution

    |

  3. If the inclination of the normal to the curve y=f(x) at the point (5,6...

    Text Solution

    |

  4. The normal to the curve x=a(cos theta + theta sin theta), y=a(sin thet...

    Text Solution

    |

  5. The normal to the curve x^(2)+2xy-3y^(2)=0, at (1,1)

    Text Solution

    |

  6. Consider f(x)=tan^(-1)(sqrt((1+sinx)/(1-sinx))), x in (0,pi/2)dot A n...

    Text Solution

    |

  7. If normal the curve y=f(x) is parallel to X-axis, then correct stateme...

    Text Solution

    |

  8. A particle is moving in such a way that its displacement s at the t is...

    Text Solution

    |

  9. A particle is moving in such a way that its displacement s at time t i...

    Text Solution

    |

  10. If the displacement of a moving particle is given by s=5 + 20 t-2t^(2)...

    Text Solution

    |

  11. If the displacement of a particle is given by s=2t^(3)-5t^(2)+4t-3, th...

    Text Solution

    |

  12. If the displacement of a particle is given by s=2t^(3)-5t^(2)+4t-3, th...

    Text Solution

    |

  13. If the displacement of a particle is given by s=2t^(3)-5t^(2)+4t-3, th...

    Text Solution

    |

  14. If the displacement of a particle is x=t^(3)-4t^(2)-5t, then the veloc...

    Text Solution

    |

  15. If the displacement of a particle is x=t^(3)-4t^(2)-5t, then the accel...

    Text Solution

    |

  16. If displacement of particle is s=t^(3)-6t^(2)+9t+15, then velocity of ...

    Text Solution

    |

  17. A particle moves under the law s=t^(3)-4t^(2)-5t. If its acceleration ...

    Text Solution

    |

  18. A particle moves under the law s=t^(3)-4t^(2)-5t. If its acceleration ...

    Text Solution

    |

  19. If displacement of particle is s=(t^(3))/(3)-(t^(2))/(2)-(t)/(2)+6, th...

    Text Solution

    |

  20. If displacement of particle is s=(t^(3))/(3)-(t^(2))/(2)-(t)/(2)+6, th...

    Text Solution

    |