Home
Class 12
MATHS
If the normal to the curve y=f(x) at the...

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

A

`-1`

B

`-(3)/(4)`

C

`-(4)/(3)`

D

1

Text Solution

Verified by Experts

The correct Answer is:
D
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

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

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)=

If the normal to y=f(x) makes an angle of.(pi)/(4) in anticlockwise direction with positive y- axis at (1,1), then f'(1) is equal to

A line tangent to the graph of the function y=f(x) at the point x= a forms an angle (pi)/(3) with the axis of Abscissa and angle (pi)/(4) at the point x=b then int_(a)^(b)f'(x)dx is

The distance of the point (-3,4) from the x-axis is : 3 (b) -3 (c) 4 (d) 5

The normal to the curve x^(2)=4y passing (1,2) is (A) x+y=3 (B) x-y=3 (D) x-y=1

If the area bounded by the curve y=f(x), x-axis and the ordinates x=1 and x=b is (b-1) sin (3b+4), then-

MARVEL PUBLICATION-APLICATIONS OF DERIVATIVES-MULTIPLE CHOICE QUESTIONS (TEST YOUR GRASP - II : CHAPTER 12)
  1. If the normal to the curve y=f(x) at the point (3,4) makes an angle (3...

    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

    |