Home
Class 12
MATHS
If f(x) is a twice differentiable functi...

If f(x) is a twice differentiable function such that f(a)=0, f(b)=2, f(c)=-1,f(d)=2, f(e)=0 where a < b < c < d e, then the minimum number of zeroes of `g(x) = f'(x)^2+f''(x)f(x)` in the interval [a, e] is

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

If f(x) is a twice differentiable function such that f(0)=f(1)=f(2)=0 . Then

If f(x) is a twice differentiable function and given that f(1)=1,f(2)=4,f(3)=9, then

If f(x) is a twice differentiable function and given that f(1)=2,f(2)=5 and f(3)=10 then

Let f be a twice differentiable function such that f(a)=f(b)=0 and f(c)>0 for a

If f is twice differentiable function for x in R such that f(2)=5,f'(2)=8 and f'(x) ge 1,f''(x) ge4 , then

Let f be a twice differentiable function such that f''(x)=1-f(x) where f'(0)=f(0)=1 The value of int_(0)^((pi)/(2))(f(x)-1)/(cos^(2)x+1) is equal to

If f(x) be a differentiable function,such that f(x)f(y)+2=f(x)+f(y)+f(xy);f'(0)=0,f'(1)=2 then find f(x)

If f(x) is a differentiable real valued function such that f(0)=0 and f\'(x)+2f(x) le 1 , then (A) f(x) gt 1/2 (B) f(x) ge 0 (C) f(x) le 1/2 (D) none of these

A DAS GUPTA-Some New Pattern Problems-Exercise
  1. Let aa n db be the roots of the equation x^2-10 c x-11 d=0 and those o...

    Text Solution

    |

  2. Complete the following statements. and bn=1-an then the smallest na...

    Text Solution

    |

  3. If f(x) is a twice differentiable function such that f(a)=0, f(b)=2, f...

    Text Solution

    |

  4. Consider the planes 3x-6y-2z=15a n d2x+y-2z=5. Statement 1:The parame...

    Text Solution

    |

  5. Let the vectors vec(PQ),vec(QR),vec(RS), vec(ST), vec(TU) and vec(UP) ...

    Text Solution

    |

  6. Tangents are drawn from the point (17, 7) to the circle x^2+y^2=169, S...

    Text Solution

    |

  7. The lines L(1) : y - x = 0 and L(2) : 2x + y = 0 intersect the line ...

    Text Solution

    |

  8. Let C be the locus of a point the sum of whose distances from the poi...

    Text Solution

    |

  9. Let F(x) be an indefinite integral of sin^(2)x Statement I The funct...

    Text Solution

    |

  10. let f(x)=2+cosx for all real x Statement 1: For each real t, there ex...

    Text Solution

    |

  11. Assertion- Reason Type Question: STATEMENT -1: 1*3*5* ….*(2n-1) gt n^...

    Text Solution

    |

  12. Let (1 + x)^(36) = a(0) +a(1) x + a(2) x^(2) +...+ a(36)x^(36). Then ...

    Text Solution

    |

  13. The vlaue of ((5050)underset(0)overset(1)int(1-x^(50))^(100)dx)/(under...

    Text Solution

    |

  14. In !ABC it is given that a:b:c = cos A:cos B:cos C Statement-1: !ABC...

    Text Solution

    |

  15. Let H1, H2,..., Hn be mutually exclusive events with P (Hi) > 0, i = ...

    Text Solution

    |

  16. Let Aa n dB b e two independent events. Statement 1: If (A)=0. 3a n dP...

    Text Solution

    |

  17. The equations of two straight lines are (x-1)/2=(y+3)/1=(z-2)/(-3) a...

    Text Solution

    |

  18. Assertion- Reason Type Question:

    Text Solution

    |

  19. Statement-1: The cubic equation 4x^(3) - 15x^(2)+14x-5 = 0 has a root ...

    Text Solution

    |

  20. Consider, L(1) : 2x + 3y + p – 3 = 0 , L(2) : 2x + 3y + p + 3 = 0, whe...

    Text Solution

    |