Home
Class 12
MATHS
Let f be a real-valued differentiable...

Let `f` be a real-valued differentiable function on `R` (the set of all real numbers) such that `f(1)=1.` If the `y-in t e r c e p t` 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________

Promotional Banner

Topper's Solved these Questions

  • Some New Pattern Problems

    A DAS GUPTA|Exercise Exercise|137 Videos

  • Screening Tests

    A DAS GUPTA|Exercise Exercise|38 Videos

  • Total Conditional Probability and Bayes' Theorem

    A DAS GUPTA|Exercise Exercise|29 Videos

Similar Questions

Explore conceptually related problems

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

The length of tangent at a point P(x_(1),y_(1)) to the curve y=f(x) ,having slope m at P is

Let f be a real - valued function defined on R ( the set of real numbers) such that f(x) = sin^(-1) ( sin x) + cos^(-1) ( cos x) The value of f(10) is equal to

Let y=f(x) be an invertible function such that x -intercept of the tangent at any point P(x.y) on y=f(x) is equal to the square of abscissa of the point of tangency.If f(2)=1, then f-1((5)/(8))=

Let f be a real - valued function defined on R ( the set of real numbers) such that f(x) = sin^(-1) ( sin x) + cos^(-1) ( cos x) The area bounded by curve y = f(x) and x- axis from pi/2 le x le pi is equal to

A DAS GUPTA-Some New Pattern Problems-Exercise
  1. Let p(x) be a polynomial of degree 4 having extremum at x = 1,2 and l...

    Text Solution

    |

  2. The maximum value of the function f(x)=2x^(3)-15x^(2)+36x-48 on the se...

    Text Solution

    |

  3. If the function f(x)=x^(3)+e^(x//2)andg(x)=f^(-1)(x), then the value ...

    Text Solution

    |

  4. Let f:R rarr R be a continous function which satisfies f(x)= int (0)^(...

    Text Solution

    |

  5. The smallest value of k for which both the roots of the equation x^2-8...

    Text Solution

    |

  6. Let w be the complex number cos(2pi)/3 + sin(2pi)/3. Then the number o...

    Text Solution

    |

  7. Let sk, k=1,2,3,…,100 denote the sum of the infinite geometric series ...

    Text Solution

    |

  8. The number of all possible values of theta, where 0 lt theta lt pi, f...

    Text Solution

    |

  9. The number of values of theta in the interval (-(pi)/(2), (pi)/(2)) su...

    Text Solution

    |

  10. The maximum value of the expression 1/(sin^2theta+3sinthetacostheta+5c...

    Text Solution

    |

  11. The line 2x + y = 1 is tangent to the hyperbola x^2/a^2-y^2/b^2=1. I...

    Text Solution

    |

  12. If vec a and vec b are vectors in space given by vec a= (hat i - 2vec ...

    Text Solution

    |

  13. Lines (x-1)/2 = (y-2)/3 = (z-3)/4 and (x-2)/3 = (y-3)/4 = (z-4)/5 lie ...

    Text Solution

    |

  14. Let f be a real-valued differentiable function on R (the set of ...

    Text Solution

    |

  15. For any real number x, let [x]= largest integer less than or equalto x...

    Text Solution

    |

  16. Le a1, a2, a3, ,a(11) be real numbers satisfying a2=15 , 27-2a2>0a n ...

    Text Solution

    |

  17. Two parallel chords of a circle of radius 2 are at a distance sqrt3 + ...

    Text Solution

    |

  18. Consider a triangle ABC and let a , b , and c denote the lengths of t...

    Text Solution

    |

  19. Let K be a positive real number and A=[2k-1 2sqrt(k)2sqrt(k)2sqrt(k)1-...

    Text Solution

    |

  20. Let f be a function defined on R (the set of all real numbers) such th...

    Text Solution

    |