Home
Class 12
MATHS
Let y = f(x), f : R ->R be an odd differ...

Let y = f(x), `f : R ->R` be an odd differentiable function such that `f'''(x)>0` and `g(alpha,beta)=sin^8alpha+cos^8beta+2-4sin^2alpha cos^2 beta` If `f''(g(alpha, beta))=0` then `sin^2alpha+sin^2beta` is equal to

A

0

B

1

C

2

D

3

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)|26 Videos

Similar Questions

Explore conceptually related problems

If "cot"(alpha+beta=0, then "sin"(alpha+2beta can be

Prove by vectors that : cos (alpha + beta) = cos alpha cos beta- sin alpha sin beta .

Prove by vectors that : cos (alpha - beta) = cos alpha cos beta+ sin alpha sin beta .

Using vectors, prove that sin (alpha+beta)=sin alpha cos beta+ cos alpha sin beta .

Using vectors prove that sin(alpha - beta) = sin alpha cos beta- cos alpha sin beta .

If 3sinbeta=sin(2alpha+beta) then

lf cos^2 alpha -sin^2 alpha = tan^2 beta , then show that tan^2 alpha = cos^2 beta-sin^2 beta .

If sin (alpha+beta)=1, sin (alpha-beta)=1/2 , then tan (alpha+ 2beta). tan (2 alpha+beta) is equal to :

If (cos^4 alpha)/(cos^2 beta)+ (sin^4 alpha)/(sin^2 beta) =1 , prove that : sin^4 alpha+ sin^4 beta= 2 sin^2 alpha sin^2 beta .

Find the value of f(alpha, beta) =|(cos (alpha + beta), -sin (alpha + beta), cos 2beta),(sin alpha, cos alpha, sin beta),(-cos alpha, sin alpha, cos beta)|

ARIHANT MATHS-DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS -Exercise (Single Option Correct Type Questions)
  1. Let f(x) be a fourth differentiable function such that f(2x^(2)-1)=2xf...

    Text Solution

    |

  2. The curve x+y-log(e)(x+y)=2x+5 has a vertical tangent at the point (al...

    Text Solution

    |

  3. Let y = f(x), f : R ->R be an odd differentiable function such that f'...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  8. The graphs y=2x^(3)-4x+2and y=x^(3)+2x-1 intersect in exactly 3 distin...

    Text Solution

    |

  9. In which of the following functions is Rolles theorem applicable? (a)f...

    Text Solution

    |

  10. The figure shows a right triangle with its hypotenuse OB along the y-a...

    Text Solution

    |

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

    Text Solution

    |

  12. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. Water runs into an inverted conical tent at the rate of 20 ft^3/ min a...

    Text Solution

    |

  17. Let f(x)=x^3-3x^2+2x Find f'(x)

    Text Solution

    |

  18. The Curve possessing the property that the intercept made by the tange...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |