Home
Class 12
MATHS
Let a curve y=f(x),f(x)ge0, AA x in R ha...

Let a curve `y=f(x),f(x)ge0, AA x in R` has property that for every point P on the curve length of subnormal is equal to abscissa of p. If `f(1)=3`, then f(4) is equal to

A

`-2sqrt6`

B

`2sqrt6`

C

`3sqrt5`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|15 Videos

  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|7 Videos

  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS|Exercise Exercise For Session 6|4 Videos

  • DIFFERENTIATION

    ARIHANT MATHS|Exercise Exercise For Session 10|4 Videos

  • ELLIPSE

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|27 Videos

Similar Questions

Explore conceptually related problems

If f(x ) = a^x , then [ f(p) ]^3 is equal to

Let f(x) have a point of inflection at x=1 and let f^(")(x)=x. If f^(')(1)=0, then f(x) is equal to

Let f be a real-valued differentiable function on R (the set of all real numbers) such that f(1)=1. If the y-intercept of the tangent at any point P(x,y) on the curve y=f(x) is equal to the cube of the abscissa of P, then the value of f(-3) is equal to

On the curve y=f(x) the length of tangent and length of subnormal at (x,y),y!=0, are equal,then square of slope of tangent will be

A curve y=f(x) has the property that the perpendicular distance of the origin from the normal at any point P of the curve is equal to the distance of the point P from the x-axis. Then the differential equation of the curve

ARIHANT MATHS-DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS -Exercise (Single Option Correct Type Questions)
  1. Let y = f(x), f : R ->R be an odd differentiable function such that f'...

    Text Solution

    |

  2. A polynomial of 6th degree f(x) satisfies f(x)=f(2-x), AA x in R, if f...

    Text Solution

    |

  3. Let a curve y=f(x),f(x)ge0, AA x in R has property that for every poin...

    Text Solution

    |

  4. If a variable tangent to the curve x^2y=c^3 makes intercepts a , bonx-...

    Text Solution

    |

  5. Let f(x)=|[1,1,1] , [3-x,5-3x^2,3x^3-1] , [2x^2-1,3x^5-1,7x^8-1]| then...

    Text Solution

    |

  6. The graphs y=2x^(3)-4x+2 and y=x^(3)+2x-1 intersect at exacty 3 distin...

    Text Solution

    |

  7. In which of the following function Rolle's theorem is applicable ?

    Text Solution

    |

  8. The figure shows a right triangle with its hypotenuse OB along the Y-a...

    Text Solution

    |

  9. Number of positive integral value(s) of 'a' for which the curve y=a^(x...

    Text Solution

    |

  10. Given f(x)=4-(1/2-x)^(2/3),g(x)={("tan"[x])/x ,x!=0 1,x=0 h(x)={x},k(...

    Text Solution

    |

  11. If the function f(x)=x^(4)+bx^(2)+8x+1 has a horizontal tangent and a...

    Text Solution

    |

  12. Coffee is coming out from a conical filter, with height and diameter b...

    Text Solution

    |

  13. A horse runs along a circle with a speed of 20k m//h . A lantern is at...

    Text Solution

    |

  14. Water runs into an inverted conical tent at the height of the water is...

    Text Solution

    |

  15. Let f(x)=x^3-3x^2+2x . If the equation f(x)=k has exactly one posit...

    Text Solution

    |

  16. The x-intercept of the tangent at any arbitarary point of the curve (a...

    Text Solution

    |

  17. If f(x) is continuous and differentible over [-2, 5] and -4lef'(x)le3 ...

    Text Solution

    |

  18. A curve is represented parametrically by the equations x=t+e^(at) and ...

    Text Solution

    |

  19. At any two points of the curve represented parametrically by x=a (2 co...

    Text Solution

    |

  20. Let F(x)=int(sinx)^(cosx)e^((1+sin^(-1)(t))dt on [0,(pi)/(2)], then

    Text Solution

    |