1. 0
2. 1
3. 2
4. Does not exist
Does not exist
1. 0
2. 1
3. 1/2
4. ∞
1/2
1. Both f and g continuous
2. F is continuous and g is discontinuous
3. F is discontinuous and g is continuous
4. Both f and g are discontinuous
Both f and g continuous
1. Discontinuous at x=0
2. Continuous only at x=0
3. Continuous at all values of x
4. Discontinuous at x=1
Continuous at all values of x
1. a=0,b=1/2
2. a=1/2,b=0
3. a=-1/2,b=0
4. a=0,b=-1/2
a=1/2,b=0
1.
2.
3.
4. At very real numbers except integers
At very real numbers except integers
1. [-3,3]
2. [-2,2]
3. [2,3]
4. [-1,1]
[2,3]
1. [0,2]
2. [-1,1]
3. [-1,0]
4. [1,2]
[-1,0]
1. Satisfied all the conditions of Rolle’s theorem
2. Satisfied all the conditions of Mean Value theorem
3. Does not Satisfied the conditions of Mean Value theorem
4. None of these
Does not Satisfied the conditions of Mean Value theorem
1. 3/4
2. 1/2
3. 3/2
4. 1/4
3/4