Home
Class 12
MATHS
If f(x)={((1-sqrt2sinx)/(pi-4x),"if x"ne...

If `f(x)={((1-sqrt2sinx)/(pi-4x),"if x"nepi/4),(a,"if x"=pi/4):}`is continuous at `pi/4`, then a is equal to

A

4

B

2

C

1

D

`1//4`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

If f(x)={{:((1-sqrt2sinx)/(pi-4x)",",ifxne(pi)/(4)),(a",",if x=(pi)/(4)):} in continuous at (pi)/(4) , then a is equal to :

If f (x) = {{:((1- sqrt2sin x )/(pi - 4 x )",",, x ne (pi)/(4)),(a" "",",,x = (pi)/(4)):} is continuous at x = (pi)/(4) , then a =

If the function f(x)={((sqrt(2+cosx)-1)/(pi-x)^2 ,; x != pi), (k, ; x = pi):} is continuous at x = 1, then k equals:

If f(x)={{:((1-sinx)/(pi-2x),,","xne(pi)/(2)),(lambda,,","x=(pi)/(2)):},"be continuous at "x=(pi)/(2), then value of lambda is

Find the value of k, if the function f given by : {:(f(x)=(1-tanx)/(1-sqrt2sinx)",", "for" x nepi/4),(=k/2",","for"x=pi/4):} is continous at x =pi/4*

If the function f defined on (pi/6,pi/3) by {{:((sqrt2 cos x -1)/(cot x -1)" , " x ne pi/4),(" is continuous,"),(" k , "x=pi/4 ):} then k is equal to

If f(x) ={((3sinx-sqrt(3)cosx)/(6x-pi),",",x != (pi)/6),(a, ",",x = pi/6):} is continuous at x = (pi)/6 , then a =

If f(x)={(x+a sqrt(2) sinx"," ,0 lt x lt (pi)/(4)),(2x cotx+b",",(pi)/(4) le x le (pi)/(2)),(a cos 2x-b sinx",", (pi)/(2) lt x le pi):} is continuous at x=(pi)/(4) , then a - b is equal to