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

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)` is :

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

  • APPLICATION OF DERIVATIVES

    MODERN PUBLICATION|Exercise Latest Questions from AIEEE/JEE Examinations|13 Videos
  • APPLICATION OF DERIVATIVES

    MODERN PUBLICATION|Exercise Recent Competitive Questions (Questions from Karnataka CET & COMED)|25 Videos
  • APPLICATION OF DERIVATIVES

    MODERN PUBLICATION|Exercise Recent Competitive Questions (Questions from Karnataka CET & COMED)|25 Videos
  • AREA UNDER CURVES

    MODERN PUBLICATION|Exercise Recent Competitive Questions (Question from karnataka CET & COMED)|9 Videos

Similar Questions

Explore conceptually related problems

The point on the curve y^(2) = x where the tangent makes an angle (pi)/(4) with X-axis is

The length of the subnormal to the curve y^(2)=x^(3) at the point (4, 8) is

Find equation of the line through the point(0, 2) making an angle (2pi)/3 with the positive x-axis. Also, find the equation of line parallel to it and crossing the y-axis at a distance of 2 units below the origin.

The point on the curve y^(2)=x , where the tangent makes an angle of (pi)/(4) with x-axis is :

The equation of the normal to the curve, y^(4) = ax^(3) at (a,a) is

The tangent to the curve y=x^(3)+1 at(1, 2) makes an angle theta with y-axis, then the value of tan theta is

Let L be the line of intersection of the planes: 2x + 3y +z = 1 and x + 3y + 2z = 2. If L makes an angle alpha with the positive x-axis, then cos alpha equals

If the slope of the normal to the curve x^(3)=8a^(2)y, a gt 0 at a point in the first quadrant is -(2)/(3) , then the point is :

The point on the parabola y^(2)=4 x , the normal makes equal angles with the axes is

Find the distance of the line 4x - y = 0 from the point P (4, 1) measured along the line making an angle of 135^(@) with the positive x- axis.

MODERN PUBLICATION-APPLICATION OF DERIVATIVES -Multiple Choice Questions LEVEL-II
  1. The curve y=ax^(3)+bx^(2)+cx is inclined at 45^(@) to X-axis at (0, 0)...

    Text Solution

    |

  2. If log(0.3) (x-1) lt log(0.09) (x-1), then x lies in the interval :

    Text Solution

    |

  3. The angle of intersection of the two curves xy=a^(2) and x^(2)-y^(2)=2...

    Text Solution

    |

  4. The length of subtangent to the curve x^(2)+xy+y^(2)=7 at (1, -3) is ...

    Text Solution

    |

  5. The equation 3x^(2)+4ax+b=0 has atleast one root in (0, 1) if :

    Text Solution

    |

  6. The curve y-e^(xy)+x=0 has a vertical tangent at the point :

    Text Solution

    |

  7. If the normal to the curve y = f(x) at the point (3, 4) makes an angle...

    Text Solution

    |

  8. If x+y=k is normal to y^(2)=12x, then k is :

    Text Solution

    |

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

    Text Solution

    |

  10. The greatest distance of the point P(10, 7) form the circle x^(2)+y^(...

    Text Solution

    |

  11. The greatest value of f(x)=(x+1)^(1//3)-(x-1)^(1//3) on [0, 1] is :

    Text Solution

    |

  12. The point(s) on the curve y^(3)+3x^(2)=12y, where the tangent is verti...

    Text Solution

    |

  13. If the function f(x)=2x^(3)-9ax^(2)+12a^(2)x+1, where a gt0 attains it...

    Text Solution

    |

  14. If minimum value of f(x)=x^(2)+2bx+2c^(2) is greater than maximum valu...

    Text Solution

    |

  15. The line 2x+sqrt(6)y=2 is a tangent to the curve x^(2)-2y^(2)=4. The p...

    Text Solution

    |

  16. A spherical iron ball 10 cm in radius is coated with a layer of ice of...

    Text Solution

    |

  17. Suppose the cubic x^(3)-px+q has three distinct real roots, where p gt...

    Text Solution

    |

  18. The total number of local maxima and local minima of the function : ...

    Text Solution

    |

  19. Let the function g:(-oo, oo) to (-(pi)/(2), (pi)/(2)) be given by g(u)...

    Text Solution

    |

  20. Given P(x)=x^(4)+ax^(3)+ + bx^(2)+cx+d such that x =0 is the only real...

    Text Solution

    |