MTH101 - Calculus And Analytical Geometry Midterm

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MTH101- Calculus And Analytical Geometry (Session - 2)
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Question No: 1 ( Marks: 1 ) - Please choose one
Consider two function then ..................

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► None of these

Question No: 2 ( Marks: 1 ) - Please choose one
Natural domain of is

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► None of these

Question No: 3 ( Marks: 1 ) - Please choose one
The solution of the inequality is

► (-1,7)
► (1,7)
► (1,-7)
► None of these

Question No: 4 ( Marks: 1 ) - Please choose one
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

► relation
► none of these
► function
► not function

Question No: 5 ( Marks: 1 ) - Please choose one
The set of all points in the coordinate plane which are at a fixed distance away from a given fixed point represents
► Parabola
► Straight line
► Circle
► None of these

Question No: 6 ( Marks: 1 ) - Please choose one
Let L1 and L2 be non vertical lines with slopes m1 and m2 ,respectively Both the lines are perpendicular if and only if

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► All of these

Question No: 7 ( Marks: 1 ) - Please choose one
The equation represents a circle having center at ……….. and radius ................

►
►
►
► None of these

Question No: 8 ( Marks: 1 ) - Please choose one
The base of the natural logarithm is

► 2.71
► 10
► 5
► None of these

Question No: 9 ( Marks: 1 ) - Please choose one


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► None of these

Question No: 10 ( Marks: 1 ) - Please choose one
If y=f(g(h(x))) and u=g(h(x)) and v=h(x) then

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► img][You must be registered and logged in to see this link.]
► None of these



Question No: 11 ( Marks: 1 ) - Please choose one
The tan(x) is discontinuous at the points where

► Cos(x) =0
► Sin(x) =0
► Tan(x) =0
► None of these

Question No: 12 ( Marks: 1 ) - Please choose one
Equals to

► 1
► 2
► 3
► 0

Question No: 13 ( Marks: 1 ) - Please choose one
Both Sin(x) and Cos(x) have the same limit and function value at x=0 so both are ...................... at x=0

► Continuous
► Discontinuous
► Linear
► None of these

Question No: 14 ( Marks: 1 ) - Please choose one
For a function f(x) to be continuous on interval (a,b) the function must be continuous

► At all point in (a,b)
► Only at a and b
► At mid point of a and b
► None of these

Question No: 15 ( Marks: 1 ) - Please choose one
is called


► An integer
► A rational number
► An irrational number
► A natural number



Question No: 16 ( Marks: 1 ) - Please choose one
The graph of the equation will represent


► Parabola
► Ellipse
► Straight line
► Two straight lines


Question No: 17 ( Marks: 2 )
Let. Find the average rate of change of f over the interval [3, 5].
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Question No: 18 ( Marks: 2 )
Solve this quadratic equation: ax² +bx = 0
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Question No: 19 ( Marks: 3 )
Find if


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Question No: 20 ( Marks: 5 )
Find an equation of the line through A (-6, 5) having slope 7.

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Question No: 21 ( Marks: 10 )
Show that the points A(0,2) ; B() ; C(0,-2) are vertices of right triangle.


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