Continuity of a function

Continuity of a function

12th Grade

7 Qs

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Continuity of a function

Continuity of a function

Assessment

Quiz

Mathematics

12th Grade

Practice Problem

Hard

Created by

Nilesh gulati

Used 17+ times

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7 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Media Image

f(x)+g(x)f\left(x\right)+g\left(x\right)

f(x)g(x)f\left(x\right)-g\left(x\right)

f(x).g(x)f\left(x\right).g\left(x\right)

g(x)f(x)\frac{g\left(x\right)}{f\left(x\right)}

2.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Media Image

The relation between 'a' and 'b' for which the function is continuous at x = 3

a=ba=b

2a2b=32a-2b=3

3a3b=23a-3b=2

3b3a=23b-3a=2

3.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Media Image

Find the value of 'k' so that the function f is continuous at the indicated point

π2-\frac{\pi}{2}

2π-\frac{2}{\pi}

1π-\frac{1}{\pi}

none of these

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

 y=x1y=\left|x-1\right|  is a continuous function

TRUE

FALSE

5.

FILL IN THE BLANK QUESTION

3 mins • 1 pt

The number of points at which the function f(x)=1logexf\left(x\right)=\frac{1}{\log_e\left|x\right|}   is discontinuous are/is

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

The function f(x)=[x], where [x] is greatest integer functionf\left(x\right)=\left[x\right],\ where\ \left[x\right]\ is\ greatest\ integer\ function  

is continuous at 

4

- 1

0

none of these

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Media Image

The function is continuous at x = 0, then value of k is

2

3

1

4

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