Home
Class 12
MATHS
The values of A and B such that the func...

The values of A and B such that the function `f(x)={{:(-2"sin x, "xle-(pi)/(2)),("A sin x+B, "-(pi)/(2)ltxlt(pi)/(2)),(cosx", "xge(pi)/(2)):}`, is continuous everywhere are

A

A=0, B=1

B

A=1, B=1

C

A=-1, B=1

D

A=-1, B=0

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

Consider the function f(x)={{:(-2sinx,if,xle-(pi)/(2)),(Asinx+B,if,-(pi)/(2)ltxlt(pi)/(2)),(cosx,if,xge(pi)/(2)):} Which is continuous everywhere. The value of B is

Consider the function f(x)={{:(-2sinx,if,xle-(pi)/(2)),(Asinx+B,if,-(pi)/(2)ltxlt(pi)/(2)),(cosx,if,xge(pi)/(2)):} Which is continuous everywhere. The value of A is

The value of a and b such that the function f(x)={(-2sinx"," , -pi le x le -(pi)/(2)),(a sinx+b",", -(pi)/(2) lt x lt (pi)/(2)),(cosx",", (pi)/(2) le x le pi ):} is continuous in [-pi,pi] are

If f(x)={(-4sinx+cosx, "for",xle-(pi)/2),(a sin x+b,"for",-(pi)/2ltxlt(pi)/2),(cosx+2,"for",xge(pi)/2):} is continuous, then

Consider the function f(x)={{:(-2sinx,"for",xle-(pi)/(2)),(Asinx+B,"for",-(pi)/(2)lexle(pi)/(2)),(cosx,"for",xge(pi)/(2)):} which is continuous at everywhere The value of B is

Consider the function f(x)={{:(-2sinx,"for",xle-(pi)/(2)),(Asinx+B,"for",-(pi)/(2)lexle(pi)/(2)),(cosx,"for",xge(pi)/(2)):} which is continuous at everywhere The value of A is

The value of a and b such that the function f(x) {:{(-2 sin x", "-pile x le -pi/2 ),(a sin x+b " ," -pi/2 lt x lt pi/2 ),(cos x", " pi/2 le x le pi ):} is continuous in [ - pi , pi ] are

Let f(x) = {(-2sin x, ",","if" x le -(pi)/2),(A sin x + B, ",", "if"-(pi)/2 lt x lt (pi)/2 ),(cos x, ",", "if" x ge (pi)/2 ):} Then