Let f (x)= {{:((1- tan x)/(4x-pi), x ne...

Let `f (x)= {{:((1- tan x)/(4x-pi), x ne (pi)/(4)),( lamda, x =(pi)/(4)):}, x in [0, (pi)/(2)),` If f (x) is continuous in `[0, (pi)/(2))` then `lamda` is equal to:

A

1

B

`1/2`

C

`-1/2`

D

`-1`

Text Solution

Verified by Experts

The correct Answer is:

C

Topper's Solved these Questions

CONTINUITY, DIFFERENTIABILITY AND DIFFERENTIATION
VK JAISWAL|Exercise EXERCISE (ONE OR MORE THAN ONE ANSWER IS/ARE CORRECT)|36 Videos
CONTINUITY, DIFFERENTIABILITY AND DIFFERENTIATION
VK JAISWAL|Exercise EXERCISE (COMPREHENSION TYPE PROBLEMS)|32 Videos
COMPOUND ANGLES
VK JAISWAL|Exercise Exercise-5 : Subjective Type Problems|31 Videos
DETERMINANTS
VK JAISWAL|Exercise EXERCISE-4 : SUBJECTIVE TYPE PROBLEMS|11 Videos

Similar Questions

Explore conceptually related problems

Let f(x) = (1-tanx)/(4x-pi), x != (pi)/4, x in [0,(pi)/2] . If f(x) is continuous in [0,(pi)/2] , then f((pi)/(4)) is

Let f (x) = {{:(e ^((1)/(x ^(2)))sin ""(1)/(x), x ne0),(lamda, x =(pi)/(4)):}, then f '(0)=

Let f(x)=(1-tan x)/(4x-pi),x!=(pi)/(4),x in[0,(pi)/(2)], If f(x) is continuous in [0,(pi)/(4)], then find the value of f((pi)/(4))

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

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 f(x) = (tan(pi/4-x))/(cot2x), x != pi/4 , is continuous in (0, pi/2) , then f((pi)/(4)) is equal to

VK JAISWAL-CONTINUITY, DIFFERENTIABILITY AND DIFFERENTIATION-EXERCISE (SUBJECTIVE TYPE PROBLEMS)

Let f (x)= {{:((1- tan x)/(4x-pi), x ne (pi)/(4)),( lamda, x =(pi)/(4...
Text Solution
|
Let f (x)= {{:(ac (x-1)+b,,, x lt 1),( x+2,,, 1 le x le 3),(px ^(2) +q...
Text Solution
|
If y= sin (8 sin ^(-1) x ) then (1-x ^(2)) (d^(2)y)/(dx ^(2))-x (dy)/...
Text Solution
|
If y ^(2) =4ax, then (d^(2) y)/(dx ^(2))=(ka ^(2))/( y ^(2)), where k ...
Text Solution
|
The number of values of x , x I [-2,3] where f (x) =[x ^(2)] sin (pix)...
Text Solution
|
If f (x) is continous and fifferentiable in [-3,9] and f'(x) in [-2,8]...
Text Solution
|
In f (x)= [{:(cos x ^(2),, x lt 0), ( sin x ^(3) -|x ^(3)-1|,, x ge 0)...
Text Solution
|
Let f (x) =x ^(2) +ax+3 and g (x) =x+b, where F (x) =lim (xto oo) (f(x...
Text Solution
|
Let f (x)= {{:(2-x"," , -3 le x le 0),( x-2"," , 0 lt x lt 4):} Then f...
Text Solution
|
If f (x) +2 f (1-x)( =x ^(2) +2AA x in R and f (x) is a differentiable...
Text Solution
|
Let f (x)= signum (x) and g (x) =x (x ^(2) -10x+21), then the number o...
Text Solution
|
If (d^(2))/(d x ^(2))((sin ^(4)x+ sin ^(2)x+1)/(sin ^(2)x + si n x+1))...
Text Solution
|
f (x) =a cos (piy)+b, f'((1)/(2))=pi and int (1//2)^(3//2) f (x) dx =2...
Text Solution
|
Let alpha (x) = f(x) -f (2x) and beta (x) =f (x) -f (4x) and alpha '(1...
Text Solution
|
Let f (x) =-4.e ^((1-x)/(2))+ (x ^(3))/(3 ) + (x ^(2))/(2)+ x+1 and g ...
Text Solution
|
If y=3^(2 sin ^(-1)) then |((x ^(2) -1) y ^(+) +xy')/(y)| is equal to
Text Solution
|
Let f (x)=x+ (x ^(2))/(2 )+ (x ^(3))/(3 )+ (x ^(4))/(4 ) +(x ^(5))/(5)...
Text Solution
|
In f (x)= [{:(cos x ^(2),, x lt 0), ( sin x ^(3) -|x ^(3)-1|,, x ge 0)...
Text Solution
|
Let f :R to R be a differentiable function satisfying: f (xy) =(f(x)...
Text Solution
|
For the curve sin x + si y=1 lying in the first quadrant there exist a...
Text Solution
|
Let f (x) = x tan ^(-1) (x^(2)) + x^(4) Let f ^(k) (x) denotes k ^(th)...
Text Solution
|