Test: Continuity


10 Questions MCQ Test Mathematics (Maths) Class 12 | Test: Continuity


Description
This mock test of Test: Continuity for JEE helps you for every JEE entrance exam. This contains 10 Multiple Choice Questions for JEE Test: Continuity (mcq) to study with solutions a complete question bank. The solved questions answers in this Test: Continuity quiz give you a good mix of easy questions and tough questions. JEE students definitely take this Test: Continuity exercise for a better result in the exam. You can find other Test: Continuity extra questions, long questions & short questions for JEE on EduRev as well by searching above.
QUESTION: 1

Which of the following functions are not continuous.

Solution:

From the graph it is clear that the function is discontinuous.

QUESTION: 2

 If f (x) = [x sin p x] { where [x] denotes greatest integer function}, then f (x) is

Solution:
QUESTION: 3

Examine the continuity of the function 

Solution:
QUESTION: 4

 For what values of a and b, f is a continuous function.

Solution:

QUESTION: 5

Discuss the continuity of function  f(x) = |x-1| + |x+1|, x R

Solution:

f(x) = |x-1| + |x+1| , x € R
For x ≥ 1,
f(x) = x-1 + x+1
f(x) = 2x
For -1 ≤ x ≤ 1,
f(x) = -x + 1 + x+1
f(x) = 2
For x ≤ -1,
f(x) = -x + 1 - x-1
f(x) = -2x

As the graph of f(x) shows, the function is continuous throughout its domain.

QUESTION: 6

Examine the continuity of function  f(x) = (x-1)(x-2) 

Solution:

Lim f (x) = lim (x-1)(x-2)                      =at x tend to k 

so it get    k2-3k+2
now f (k) = k2 -3k+2

so f (x) =f (k) so continous at everywhere

QUESTION: 7

What is the point of discontinuity for signum function?

Solution:

Sgn(x)=|x|/x
for x>0, sgn(x)=1
for x=0, sgn(x)=0
for x<0, sgn(x)="">
now see graphically or theoretically sgn(x) is discontinuous at x=0

QUESTION: 8

Function f(x) = log x +  is continuous at​

Solution:
QUESTION: 9

Solution:


QUESTION: 10

A real function f is said to be continuous if it is continuous at every point in …… .​

Solution: