Home
Class 12
MATHS
What is the value of lamda if the functi...

What is the value of `lamda` if the function is continuous at `x=(pi)/(2)`?

A

`1//8`

B

`1//4`

C

`1//2`

D

1

Text Solution

Verified by Experts

The correct Answer is:
A

Function is continuous at `x=(pi)/(2)`
`f((pi)/(2))=underset(xto(pi)/(2))lim(1-sinx)/((pi-2x))=(1)/(8)`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATION

    NDA PREVIOUS YEARS|Exercise MCQs|119 Videos
  • HEIGHT & DISTANCE

    NDA PREVIOUS YEARS|Exercise Math|45 Videos

Similar Questions

Explore conceptually related problems

Consider the function f(x)=(1-sinx)/((pi-2x)^(2)) where xne(pi)/(2)andf((pi)/(2))=lambda What is the value of lambda . If the function is continuous at x=(pi)/(2) ?

Let f(x)=(1-sin x)/((pi-2x)^(2))*(ln(sin x))/(ln(1+pi^(2)-4 pi x+4x^(2))),x!=(pi)/(2). The value of f((pi)/(2)) so that the function is continuous at x=(pi)/(2) is:

For what value of k is the following function continuous at x=-(pi)/(6)?f(x)={(sqrt(3)sin x+cos x)/(x+(pi)/(6)), when x!=-(pi)/(6)k, whenx =(pi)/(6)

Find the values of a and b if the given function is continuous on [0,pi]

For what value of k is the followinf function continuous at x=-(pi)/(6). Where f(x)=(sqrt(3)sin x+cos x)/(x+(pi)/(6)),x!=-(pi)/(6) and f(x)=k,x=-(pi)/(6)

Find the value of a for which the following function is continuous at a given point. f(x)={(1-sinx)/(pi-2x),\ x!=pi/2a ,\ x=pi/2a t\ x=pi/2

For what value of mu is the function f(x)=mu(x^(2)-2x),x 0 is continuous at x=0

the function f(x)=(6/5)^((tan6x)/(tan5x)) if x is 0 to pi/2 and f(x)=b+2 if x=pi/2 and f(x)=(1+|cosx|)^{(a*|tanx|)/b} if x is pi/2 to pi Determine the values of a&b. if f is continuous at x=pi/2

Consider the following for the next two items that follows f(x)={{:(x+pi" for "x in[-pi,0)),(picosx" for "x in[0,(pi)/(2)]),((x-(pi)/(2))^(2)" for "x in((pi)/(2),pi]):} Consider the following statement: 1. The function f(x) is continuous at x = 0. 2. The function f(x) is continuous at x=(pi)/(2) Which of the above statements is / are correct?

The function f(x)=(sinx)^(tan^(2)x) is not defined at x=(pi)/(2) . The value of f((pi)/(2)) such that f is continuous at x=(pi)/(2) is

NDA PREVIOUS YEARS-FUNCTIONS, LIMIT, CONTINUITY AND DIFFERENTIABILITY-MCQs
  1. What is lim(xto0) (x)/(sqrt(1-cosx)) equal to ?

    Text Solution

    |

  2. What is underset(xrarr(pi)/(2))limf(x)=underset(xrarr(pi)/(2))lim(1-si...

    Text Solution

    |

  3. What is the value of lamda if the function is continuous at x=(pi)/(2)...

    Text Solution

    |

  4. If f(9)=9andf'(9)=4 then what is lim(xto9) (sqrtf(x)-3)/(sqrtx-4) equa...

    Text Solution

    |

  5. Consider the following statements : 1. The function f(x)=3sqrtx is...

    Text Solution

    |

  6. Consider the following statements: 1. The function f(x)=|x| is not d...

    Text Solution

    |

  7. Let f(x) be a function defined in 1lexleoo by f(x)={{:(2-x" for "1le...

    Text Solution

    |

  8. Let f(x) be a function defined in 1lexleoo by f(x)={{:(2-x" for "1le...

    Text Solution

    |

  9. Let f(x) be a function defined in 1lexleoo by f(x)={{:(2-x" for "1le...

    Text Solution

    |

  10. The function f:NtoN,N being the set of of natural numbers, defined by ...

    Text Solution

    |

  11. If f(x)=ax+bandg(x)=cx+d such that f[g(x)]=g[f(x)] then which one of t...

    Text Solution

    |

  12. Consider the function f(x)=(x-1)/(x+1) What (f(x)+1)/(f(x)-1) equal ...

    Text Solution

    |

  13. Consider the function f(x)=(x-1)/(x+1) What is f(2x) equal to ?

    Text Solution

    |

  14. Consider the function f(x)=(x-1)/(x+1) What is f(f(x)) equal to ?

    Text Solution

    |

  15. Consider the function f(x)={{:(x^(2)-5,xle3),(sqrt(x+13),xgt3):} Wha...

    Text Solution

    |

  16. Consider the function f(x)={{:(x^(2)-5,xle3),(sqrt(x+13),xgt3):} Con...

    Text Solution

    |

  17. Consider the function f(x)={{:(x^(2)-5,xle3),(sqrt(x+13),xgt3):} Wha...

    Text Solution

    |

  18. Consider the function f(x)={{:(tankx",",xlt0),(3x+2k^(2)",",xge0):} ...

    Text Solution

    |

  19. Consider the following statements: 1. The function f(x)=[x] where [....

    Text Solution

    |

  20. What is lim(xto0) (log(5)(1+x))/(x) equal to?

    Text Solution

    |