MTH101 Midterm Past Papers 1

MIDTERM EXAMINATION Fall 2008 MTH101- Calculus And Analytical Geometry (Session - 2)

Q1. Consider two function (1 marks)

f x x andg x x then fog x 

1. x

2x

x

1. None of these

Q2. Natural domain of (1 marks)

4) 2) x x is

,2) (2, U

,2)

,0)

1. None of these

Q3. The solution of the inequality (1 marks)

x  is

1. (-1,7)
2. (1,7)
3. (1,-7)
4. None of these

Q4. If a quantity y depends on another quantity x in such a way that each value of x determines exactly one value of y , we say that y is ………………. of x (1 marks)

1. relation
2. none of these
3. function
4. not function

Q5. The set of all points in the coordinate plane which are at a fixed distance away from a given fixed point represents (1 marks)

1. Parabola
2. Straight line
3. Circle
4. None of these

Q6. Let L1 and L2 be non vertical lines with slopes m1 and m2 ,respectively Both the lines are perpendicular if and only if (1 marks)

m1(-m2 ) = 1

1. m1m2

-1

m1 = - m2

1. All of these

Q7. The equation (1 marks)

4) 1) x y represents a circle having center at ……….. and radius ................

( 4,1)

( 4,1)

( 4, 1)

1. None of these

Q8. The base of the natural logarithm is (1 marks)

1. 2.71
2. 10
3. 5
4. None of these

Q9. d (1 marks)

f g x dx

f g x g x

f g x g x

f g x f x

1. None of these

Q10. If y=f(g(h(x))) and u=g(h(x)) and v=h(x) then (1 marks)

dy dx 

dy du dv du dv dx

dy du dv du dv dx

dy du dv dx dv du

1. None of these