Home
Class 12
MATHS
If the function f:R to R given by f...

If the function `f:R to R ` given by
`f(x)={(x+a"," , "if "x le 1),(3-x^(2)",","if " x gt1):}` is continuous at x = 1, then a is equal to

A

4

B

3

C

2

D

1

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

If f(x) = {(2x+1,",",x le 1),(-3-kx^(2),",",x gt 1):} is continuous at x = 1, then the value of k is

If f(x) {:(=x+1", if " x le 1 ),(= 3 + ax^(2)", if "x gt 1 ) :} is continuous on R , then a = ………

If f (x) = {{:(x + 1 , x le 1), (3 - ax^(2) ,x gt 1):} is continuous at x =1, then the value of a is

Is the function f defined by f(x)={{:(x, if x le 1),(5, if x gt 1):} continuous at x = 0? At x = 2 ?

Find the value of k, so that the function f(x) = {(kx^2 + 5, if x le 1), (2, if x gt 1):} is continuous at x = 1

Find the value of k, so that the function f(x) = {(kx^2 + 5, if x le 1), (2, if x gt 1):} is continuous at x = 1

Examine the continuity of f(x) = {(2x+1,x le 0),(1-3x,x gt 0):} is continuous at x=0

The function f(x) = {(x+2, ",",1 le x lt 2),(4, ",", x = 2 ),(3x-2, ",", x gt 2 ):} is continuous at