Home
Class 12
MATHS
Let h(x)=f(x)-g(x), where f(x)=sin^(4)pi...

Let `h(x)=f(x)-g(x)`, where `f(x)=sin^(4)pix` and `g(x)=log x`. Let `x_(0),x_(1),x_(2) , ....,x_(n+1_` be the roots of `f(x)=g(x)` in increasing order.
In the above question, the value of n is

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • AREA OF BOUNDED REGIONS

    ARIHANT MATHS|Exercise Exercise For Session 1|10 Videos
  • AREA OF BOUNDED REGIONS

    ARIHANT MATHS|Exercise Exercise For Session 2|20 Videos
  • BIONOMIAL THEOREM

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos

Similar Questions

Explore conceptually related problems

Let f(x)=(ax^2+bx+c)/(x^2+1) such that y=-2 is an asymptote of the curve y=f(x) . The curve y=f(x) is symmetric about Y-axis and its maximum values is 4. Let h(x)=f(x)-g(x) ,where f(x)=sin^4 pi x and g(x)=log_(e)x . Let x_(0),x_(1),x_(2)...x_(n+1) be the roots of f(x)=g(x) in increasing order Then, the absolute area enclosed by y=f(x) and y=g(x) is given by

Let g(x)=f(x)+f(1-x) and f''(x)<0 , when x in (0,1) . Then f(x) is

Let f (x) = x^2 and g (x) = sqrtx , then

Let f(x)=int_2^x (dt)/sqrt(1+t^4) and g be the inverse of f . Then, the value of g'(0) is

If e^f(x)= log x and g(x) is the inverse function of f(x), then g'(x) is

If f(x)=sinx,g(x)=x^(2)andh(x)=logx. IF F(x)=h(f(g(x))), then F'(x) is

Let f(x)=x^(2)+bx+c and g(x)=x^(2)+b_(1)x+c_(1) Let the real roots of f(x)=0 be alpha, beta and real roots of g(x)=0 be alpha +k, beta+k fro same constant k . The least value fo f(x) is -1/4 and least value of g(x) occurs at x=7/2 The roots of g(x)=0 are

If the functions f(x)=x^(3)+e^(x//2) " and " g(x)=f^(-1)(x) , the value of g'(1) is ………… .

Let f(x) = [x] and g(x) = |x| then find the value of (fog)(1/2) - (gof) (1/2)

ARIHANT MATHS-AREA OF BOUNDED REGIONS-Exercise (Questions Asked In Previous 13 Years Exam)
  1. Let h(x)=f(x)-g(x), where f(x)=sin^(4)pix and g(x)=log x. Let x(0),x(1...

    Text Solution

    |

  2. Area of the region {(x,y) in R^(2):ygesqrt(|x+3|),5ylex+9le15} is eq...

    Text Solution

    |

  3. Let F(x)=int(x)^(x^2+pi/2) 2 cos^(2)dt for all x in R and f:[0,1/2] to...

    Text Solution

    |

  4. The common tangents to the circle x^2=y^2=2 and the parabola y^(2)=8x ...

    Text Solution

    |

  5. The area enclosed by the curve y=sinx+cosxa n dy=|cosx-sinx| over the ...

    Text Solution

    |

  6. In Δ PQR, right-angled at Q, PR + QR = 30 cm and PQ = 10 cm. Determine...

    Text Solution

    |

  7. Let f:[-1,2]->[0,oo) be a continuous function such that f(x)=f(1-x)for...

    Text Solution

    |

  8. Let the straight line x= b divide the area enclosed by y=(1-x)^(2),y=0...

    Text Solution

    |

  9. The area of the region bounded by the curve y=e^x and lines x=0a n dy=...

    Text Solution

    |

  10. The area of the region bounded by the curves y=sqrt[[1+sinx]/cosx] and...

    Text Solution

    |

  11. Find the product of (x - 4)(x - 7)

    Text Solution

    |

  12. Consider the function defined implicitly by the equation y^3-3y+x=0 on...

    Text Solution

    |

  13. Consider the function defined implicitly by the equation y^3-3y+x=0 on...

    Text Solution

    |

  14. The area (in sqaure units) of the region {(x,y):x ge 0, x + y le 3, x^...

    Text Solution

    |

  15. The area (in sq. units) of the region {(x,y):y^(2)ge2x and x^(2)+y^(2)...

    Text Solution

    |

  16. The area (in sq units) of the region described by {(x,y):y^(2)le2x and...

    Text Solution

    |

  17. The area (in sq. units) of the quadrilateral formed by the tangents ...

    Text Solution

    |

  18. The area of the region described by A={(x,y):x^(2)+y^(2)le1 and y^(2)l...

    Text Solution

    |

  19. The area bounded by the curves y=sqrt(x),2y+3=x , and x-axis in the 1s...

    Text Solution

    |

  20. The area bounded between the parabolas x^(2)=(y)/(4) and x^(2)=9y and ...

    Text Solution

    |

  21. The area of the region enclosed by the curves y=x, x=e,y=(1)/(x) and t...

    Text Solution

    |