JavaScript is disabled on your browser. Enable JavaScript to use this site. Learn More

____.

0

1

None of the above

If denotes the greatest integer less than or equal to then the value of the integral equals ____.

5/3

7/3

8/3

4/3

The value of is ____.

1

99

0

The function is ____.

An even function

An odd function

A periodic function

None of the above

The value of is ____.

0

1

None of the above

/

2

– 3

– 5

None of the above

If y= y(x) and it follows the relation x cos y +y cos x=( then y’’ (0)

1

-1

(

-(

Let f(x) be a quadratic expression which is positive for all the real values of x. If g(x) +f’(x) +f’’(x), then for any real x,

g(x)<0

g(x)>)

g(x)=0

g(x)>0

If f(x) =min {1, x2, x3}, then

f(x) is continuous ( x ( R

f(x)>0, ( x>1

f(x) is continuous but not differentiable ( x ( R

f(x) is not differentiable at two points

1 and 3

2 and 4

The function f(x)=max {1-x),(1+x),2}, x ( (-(,() is

Continuous at all points

Differentiable at all points

Differentiable at all points except at x=1 and x=-1

Continuous at all points except at x=1 and x=-1, where it is discontinuous

1 and 3

2 and 4

0

1

None of the above

If denotes the greatest integer less than or equal to then the value of the integral equals ____.

5/3

7/3

8/3

4/3

The value of is ____.

1

99

0

The function is ____.

An even function

An odd function

A periodic function

None of the above

The value of is ____.

0

1

None of the above

/

2

– 3

– 5

None of the above

If y= y(x) and it follows the relation x cos y +y cos x=( then y’’ (0)

1

-1

(

-(

Let f(x) be a quadratic expression which is positive for all the real values of x. If g(x) +f’(x) +f’’(x), then for any real x,

g(x)<0

g(x)>)

g(x)=0

g(x)>0

If f(x) =min {1, x2, x3}, then

f(x) is continuous ( x ( R

f(x)>0, ( x>1

f(x) is continuous but not differentiable ( x ( R

f(x) is not differentiable at two points

1 and 3

2 and 4

The function f(x)=max {1-x),(1+x),2}, x ( (-(,() is

Continuous at all points

Differentiable at all points

Differentiable at all points except at x=1 and x=-1

Continuous at all points except at x=1 and x=-1, where it is discontinuous

1 and 3

2 and 4

This test consist of 10 questions.Students should ideally take 10 minutes to complete the test. This test is useful for those students who are preparing for IIT JEE, AIEEE or any other engineering entrance test. This test consist of questions from Calculus and which, in general, is focused in AIEEE and IIT JEE. Last year - 6 questions was asked from this chapter in AIEEE. In this chapter, Continuity, Differential Calculus and Properties of integration are key topic and mostly application based questions are asked.

IIT JEE Mathematics AIEEE Mathematics AIEEE Mathematics: Statics IIT JEE AIEEE AIEEE Mathematics: Calculus

**
XII_Physics_Electromagnetic Induction_7**

10 Questions
| 408 Attempts

**
XII_Physics_Electromagnetic Induction_6**

10 Questions
| 459 Attempts

**
XII_Physics_Electromagnetic Induction_5**

10 Questions
| 204 Attempts

Price:$175

Price:$227.27

Price:$100

Post Cancel