1 |
a function f is ___ on a closed interval [a,b] ,then f has both a maximum and minimum value on [a,b] |
Continuous
Discontinuous
None of these
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2 |
An object is displaced 1m by a force of 1N then the work done |
2
1
0
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3 |
The equation (x+4)2+(y+1)2=6 represent a circle having center at____ and radius |
(-4,1),undertoot 6
(-4,-11),undertoot 6
None of these
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4 |
(x2-4)/(x-2) Natural domain is |
(-<span style="color: rgb(34, 34, 34); font-family: arial, sans-serif; font-size: 16px;">∞,2</span>)U (2,+<span style="color: rgb(34, 34, 34); font-family: arial, sans-serif; font-size: 16px;">∞</span>)
(-<span style="color: rgb(34, 34, 34); font-family: arial, sans-serif; font-size: 16px;">∞,2</span>)
(-<span style="color: rgb(34, 34, 34); font-family: arial, sans-serif; font-size: 16px;">∞,0</span>)
None of these
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5 |
y=f(x) then the average rate of change of y with with respect to x over the interval [xo,x1] is the _______ joining the points (xo ,f(xo)) and (x1f(x1)) on the graph of f |
Slope of the secant line
Slope of the tangent line
Secent line
none of these
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6 |
Which of the following is the spring constant k if a spring constant whose natural length is 2m exerts a force of 3N when started 1m beyond its natural legth? |
3 x
3 N/m
2 m
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7 |
In alternating series test ,which one of the following condition must be satisfied |
lim k<span style="color: rgb(84, 84, 84); font-family: arial, sans-serif; font-size: small;">→</span><span style="color: rgb(34, 34, 34); font-family: arial, sans-serif; font-size: 16px;">∞ a<sub>k</sub>=1</span>
a<sub>1</sub>>a<sub>2</sub>>a<sub>3...............>a</sub>k
a<sub>1</sub><a<sub>2</sub><a<sub>3...............<a</sub>k
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8 |
If the partial sum of the series is finite then the series will be |
Divergent
Convergent
Give no information
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9 |
Which of the following option is true for the sequence an={1/n}n=1which of the following option is true for the sequence |
Increasing
Decreasing
Non increasing
Non Decreasing
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10 |
For a sequence {an} if the ration of successive terms an+1/ an<1 then the sequence is known as : |
increasing
decreasing
Non increasing
non decreasing
|