MTH101 Midterm Solved Paper 4 Set 2

1x and 2x denotes two distinct

points in that interval. If f x f x for all points 1x and 2x then which of the

following statement is correct?

1. f is a decreasing function
2. f is an increasing function
3. f is a constant function

Q3. Tan(x) is continuous every where except at points (1 marks)

1,3,5,...) k k

2,4,6,...) k k

1,2,3,4,5,6,...) k k

Q4. lim (1 marks)

x x

1. -2
2. 0
3. 2
4. Does not exist

Q5. g (1 marks)

d f g dx f g f g g f g

f g f g

f g f g

Q6. The solution set of the inequality (1 marks)

x  is

, 6] [2, U

1. None of these

,6] [ 2, U

, 6] [ 2, U

Q7. A line is called a tangent line to the circle if it meets the circle at precisely …………….. (1 marks)

1. One point
2. Two points
3. Infinite points

Q8. 1x and (1 marks)

2x denote points in that

interval. If f x f x whenever x x then which of the following statement is correct?

1. f is an increasing function.
2. f is a decreasing function.
3. f is a constant function.

Q9. If (1 marks)

f x x x then f x

x 

x 

x x x x

Q10.  is a .............number (1 marks)

1. Integer
2. Rational
3. Irrational
4. Natural

Q11. The set (1 marks)

x a x b can be written in the form of interval

1. (a,b)
2. (a,b]
3. [a,b]

Q12. g (1 marks)

d f dx g

g f f g g

g f f g g

g f f g f

g f f g f

Q13. The graph (1 marks)

x y is symmetric about ---------axis