Home
Class 12
MATHS
Point (s) at which the tangent to the cu...

Point (s) at which the tangent to the curve `y=x^(3)-3x^(2)-8x+7` has inclination `45^(@)` is (are)

A

`((5)/(3 ),(4)/(3))`

B

`(-(4)/(3),(5)/(3))`

C

`(-1,11),(3,-17)`

D

`(1,-11), (-3,17)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • APLICATIONS OF DERIVATIVES

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (TEST YOUR GRASP - I : CHAPTER 12)|19 Videos
  • APLICATIONS OF DERIVATIVES

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (TEST YOUR GRASP - II : CHAPTER 12)|19 Videos
  • APPLICATIONS OF DEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|11 Videos

Similar Questions

Explore conceptually related problems

Points at which the tangent to the curve y=(x)/(1-x^(2) has inclination 45^(@)

Points (s) at which the tangent to the curve y=x. log x has inclination 45^(@) is (are)

Point at which the tangent to the curve y=3x-2x^(2) has slope m=-1 is

Any tangent to the curve y=3x^(7)+5x+3

Find points at which the tangent to the curve y=x^(3)-3x^(2)-9x+7 is parallel to the x-axis

Find points at which the tangent to the curve y=x^(3)-3x^(2)-9x+7 is parallel to the x-axis.

Point (s) at which the tangent to the curve y=(a^(2)x)/(a^(2)+x^(2)) is parallel to the X - axes is (are)

The point at which the tangent to the curve y=sqrt(4x-3)-10 has slope (2)/(3) is

At what point does the tangent of the curve y=x^(2)+7x+3 has slope 7

Find the point at which the tangent to the curve y=(3)/(5)x^(5)-(5)/(3)x^(3)-x has its slope equal to -3

MARVEL PUBLICATION-APLICATIONS OF DERIVATIVES-MULTIPLE CHOICE QUESTIONS (TEST YOUR GRASP - II : CHAPTER 12)
  1. Point (s) at which the tangent to the curve y=x^(3)-3x^(2)-8x+7 has in...

    Text Solution

    |

  2. If S=16+ 192 t-t^(3), then distance tavelled by the particle before co...

    Text Solution

    |

  3. The distances moved by a particle in time t seconds is given by s=t^(3...

    Text Solution

    |

  4. A stone thrown vertically upwards rises S ft in t seconds where S =11...

    Text Solution

    |

  5. If displacement x at time t is x=sqrt(1+t^(2)) , then acceleration is

    Text Solution

    |

  6. If the circumference of a circle at the rate of 0.2 cm //sec, then, wh...

    Text Solution

    |

  7. A stone is dropped into a quiet pond and waves spread in the form of c...

    Text Solution

    |

  8. Perimeter of square increases at the rate of 0.4 cm// sec. When the si...

    Text Solution

    |

  9. Each side of an equilateral triangle increases at a uniform rate of 0....

    Text Solution

    |

  10. If the surface area of a cube increases at the rate of 0.6cm^(2) //sec...

    Text Solution

    |

  11. If V denotes the volume and S is the surface area of a sphere. If radi...

    Text Solution

    |

  12. Water is poured into an inverted cone of semi-vertical angle 30^(@) at...

    Text Solution

    |

  13. A ladder 10 m long leans against a house. When its foot is 6 m from th...

    Text Solution

    |

  14. If y=(log x) - (2)/(x), x=(1)/(2), deltax =10 ^(-8), then delta y ~~…

    Text Solution

    |

  15. If 1^(@) =0.0174^(c), then tan (45^(@) 50')~~…

    Text Solution

    |

  16. If diameter of a sphere is 2 cm with error 0.082 mm, then approximate ...

    Text Solution

    |

  17. If a wire of length l, with error delta l, is bent into an equilatera...

    Text Solution

    |

  18. if radius of a sphere is r with error delta r , and S is its surface ...

    Text Solution

    |

  19. If 1^(@) =0.018^(c), then sin^(2) (45 ^(@) 2')~~…

    Text Solution

    |

  20. A point P moves along the curve y=x^(3). If its abscissa is increasing...

    Text Solution

    |