Home
Class 12
MATHS
Let f(x) = {((tanx - cotx)/(x-pi/4), xne...

Let `f(x) = {((tanx - cotx)/(x-pi/4), xne pi/4),(a, x = pi/4):}`. The value of 'a' so that f(x) is continuous at `x = pi/4` is

A

2

B

4

C

3

D

1

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|219 Videos
  • LINEAR INEQUALITIES

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|54 Videos

Similar Questions

Explore conceptually related problems

Let f(x) = {:{((x^2-16)/(x-4),if ,xne4),(k,if , x =4):} The the value of k which will make f (x) continuous at x = 4 is

If f(x) = {((1-sqrt2sinx)/(pi-4x), x ne pi/4),(a, x = pi/4):} is continuous at pi/4 , then a =

f(x) = {((sin 2x)^(tan^(2)2x), x ne pi/4),(k, x = pi/4):} . If f(x) is continuous at x = pi/4 , then k =

Let f(x) = {(-2sinx, x le -pi/2),(asinx +b, -pi/2 lt x lt pi/2),(cosx, x ge pi/2):} then values of a and b so that f(x) is continuous are

The value of f(2) so that f(x) = (2^(x+2)-16)/(4^(x)-16) is continuous at x = 2 is

Let f(x) = (1-sin x)/((pi - 2x)^(2)),"where x" ne pi//2 and f(pi//2) = k . The value of k which makes f continuous at pi//2 is :

Let f(x) = (1-tanx)/(4x-pi),x ne (pi)/(4), x in [0, (pi)/(2)] , if f(x) is continuous in [0, (pi)/(4)] , then f((pi)/(4)) is :

f(x) = {{:((k cos x)/(pi - 2x) "if" , x ne (pi)/(2)),( 3, "if" x=(pi)/(2)):} at x= pi/2 , f (x) is containuous , find the value of k .

Let f(x) = (tan ((pi)/(4) - x))/(cot 2 x), x ne pi//4 , the value which should be assigned to f at x = pi//4 , so that it is continuous everywhere is :

Let f(x) = e^(cos^(-1)sin(x + pi//3)) , Then :

HIMALAYA PUBLICATION-LIMITS, CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
  1. Let f(x) = (1-sin x)/((pi - 2x)^(2)),"where x" ne pi//2 and f(pi//2) =...

    Text Solution

    |

  2. The value of f(0) so that the function f(x) = ((27-2x)^(1/3)-3)/(9-3(2...

    Text Solution

    |

  3. Let f(x) = {((tanx - cotx)/(x-pi/4), xne pi/4),(a, x = pi/4):}. The va...

    Text Solution

    |

  4. The value of f(0), so that the function f(x) = (sqrt(a^(2)-ax+x^(2))-s...

    Text Solution

    |

  5. The function f(x)=1+|sinx| is :

    Text Solution

    |

  6. The range of the function f(x)=[x]-x , where [x] denotes the greatest ...

    Text Solution

    |

  7. Let f((x+y)/2) = (f(x)+f(y))/2 for all real values of x and y. If f^('...

    Text Solution

    |

  8. Let f : R rarr R be a function defined by f(x) = max {x,x^(3)}. The se...

    Text Solution

    |

  9. The domain of the derivative of the function f(x) = {(tan^(-1)x, |x|le...

    Text Solution

    |

  10. lim(h rarr 0) (f(2h+2+h^(2))-f(2))/(f(h-h^(2)+1)-f(1)) given that f^('...

    Text Solution

    |

  11. If f(x) is differentiable increasing function, then lim(x to 0) (f(x^(...

    Text Solution

    |

  12. If f(x) is continuos and differentiable function such that f(1/n) = 0 ...

    Text Solution

    |

  13. Let f(x+y) = f(x).f(y), forall, x, y. Suppose f(5) =2, f^(')(0) = 3 th...

    Text Solution

    |

  14. If f(x) = {(x-5,x le1),(4x^(2)-9, 1ltxlt2),(3x+4, x ge2):} then f^(')(...

    Text Solution

    |

  15. If f(2) = 4 and f^(')(2) =1 then lim(x rarr 2) (x f(2)-2f (x))/(x-2)

    Text Solution

    |

  16. If f(x+y) = 2f(x) f(y) for all x,y where f^(')(0) = 3 and f(4) =2, the...

    Text Solution

    |

  17. If x+4|y| = 6y, then y as a function of x is

    Text Solution

    |

  18. If f(x+y)=f(x)f(y) and f(x)=1+"xg(x) G(x)", where lim(xto0)g(x)=a and...

    Text Solution

    |

  19. The function f(x)=x^(3)-3x is :

    Text Solution

    |

  20. Let f(x)=x(x-sqrt(x+1)). Then :

    Text Solution

    |