Home
Class 12
MATHS
Let g(x)=a(0)+a(1)x+a(2)x^(2)+a(3)x^(3)a...

Let `g(x)=a_(0)+a_(1)x+a_(2)x^(2)+a_(3)x^(3)andf(x)=sqrt(g(x)),f(x)` have its non-zero local minimum and maximum values at -3 and 3 respectively. If `a_(3) in ` the domain of the function `h(x)=sin^(-1)((1+x^(2))/(2x))`
The value of `a_(0)` is

A

equal to 50

B

greater than 54

C

less than 54

D

less than 50

Text Solution

Verified by Experts

The correct Answer is:
b
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Matching Type Questions)|2 Videos

  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|31 Videos

  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|11 Videos

  • ESSENTIAL MATHEMATICAL TOOLS

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|3 Videos

  • GRAPHICAL TRANSFORMATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|10 Videos

Similar Questions

Explore conceptually related problems

Let g(x)=a_(0)+a_(1)x+a_(2)x^(2)+a_(3)x^(3)andf(x)=sqrt(g(x)),f(x) have its non-zero local minimum and maximum values at -3 and 3 respectively. If a_(3) in the domain of the function h(x)=sin^(-1)((1+x^(2))/(2x)) The value of a_(1)+a_(2) is equal to

Let g(x)=a_(0)+a_(1)x+a_(2)x^(2)+a_(3)x^(3)andf(x)=sqrt(g(x)),f(x) have its non-zero local minimum and maximum values at -3 and 3 respectively. If a_(3) in the domain of the function h(x)=sin^(-1)((1+x^(2))/(2x)) f(-10) is defined for

If (1+2x+3x^(2))^(10)=a_(0)+a_(1)x+a_(2)x^(2)+a_(3)x^(3)+ . . .+a_(20)x^(20), then

If (1+2x+3x^(2) )^(10) = a_(0) + a_(1) x + a_(2) x^(2) +…+a_(20) x^(20) , then

If log (1-x+x^(2))=a_(1)x+a_(2)x^(2)+a_(3)x^(3)+… then a_(3)+a_(6)+a_(9)+.. is equal to

If (1+x+x^(2)+x^(3))^(100)=a_(0)+a_(1)+a_(2)x^(2)+......+a_(300)x^(300) then

ARIHANT MATHS-FUNCTIONS-Exercise (Passage Based Questions)
  1. Let f(x)=1/2[f(xy)+f(x/y)] " for " x,y in R^(+) such that f(1)=0,f'(1)...

    Text Solution

    |

  2. Let f(x)=1/2[f(xy)+f(x/y)] " for " x,y in R^(+) such that f(1)=0,f'(1)...

    Text Solution

    |

  3. Let f(x)=1/2[f(xy)+f(x/y)] " for " x,y in R^(+) such that f(1)=0,f'(1)...

    Text Solution

    |

  4. If f:R rarr R and f(x)=g(x)+h(x) where g(x) is a polynominal and h(x) ...

    Text Solution

    |

  5. If f:R rarr R and f(x)=g(x)+h(x) where g(x) is a polynominal and h(x) ...

    Text Solution

    |

  6. If f:R rarr R and f(x)=g(x)+h(x) where g(x) is a polynominal and h(x) ...

    Text Solution

    |

  7. Let g(x)=a(0)+a(1)x+a(2)x^(2)+a(3)x^(3)andf(x)=sqrt(g(x)),f(x) have it...

    Text Solution

    |

  8. Let g(x)=a(0)+a(1)x+a(2)x^(2)+a(3)x^(3)andf(x)=sqrt(g(x)),f(x) have it...

    Text Solution

    |

  9. Let g(x)=a(0)+a(1)x+a(2)x^(2)+a(3)x^(3) " and " f(x)=sqrt(g(x)), f(x) ...

    Text Solution

    |

  10. Let f :[2,oo)to {1,oo) defined by f (x)=2^(x ^(4)-4x ^(3))and g : [(pi...

    Text Solution

    |

  11. Let f :[2,oo)to {1,oo) defined by f (x)=2^(x ^(4)-4x ^(3))and g : [(pi...

    Text Solution

    |

  12. Let f:[2,infty) rarr [1, infty) defined by f(x)=2^(x^(4)-4x^(2)) and g...

    Text Solution

    |

  13. p(x) be a polynomial of degree at most 5 which leaves remainder - 1 a...

    Text Solution

    |

  14. Let P(x) be polynominal of degree atmost 5 which leaves remainders -1 ...

    Text Solution

    |

  15. p(x) be a polynomial of degree at most 5 which leaves remainder - 1 a...

    Text Solution

    |

  16. Consider alpha gt 1 and f:[1/alpha,alpha] rarr [1/alpha,alpha] be bije...

    Text Solution

    |

  17. Consider alpha gt 1 and f:[1/alpha,alpha] rarr [1/alpha,alpha] be bije...

    Text Solution

    |

  18. Consider alpha gt 1 and f:[1/alpha,alpha] rarr [1/alpha,alpha] be bije...

    Text Solution

    |

  19. Let f be real valued function from N to N satisfying. The relation f(m...

    Text Solution

    |

  20. Let f be real valued function from N to N satisfying. The relation f(m...

    Text Solution

    |