Question # 1

Tan(x) is continuous every where except at points

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+- kπ/2 where k=(1,3,5.....)

+- kπ/2 where k=(2,4,6.....)

+- kπ/2 where k=(1,2,3,4,5,6.....)

y=f(x) then the average rate of change of y with with respect to x over the interval [x_o,x₁] is the _______ joining the points (x_{o ,f(}x_o₎) and (x₁f(x₁)) on the graph of f

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Slope of the secant line

Slope of the tangent line

Secent line

none of these

a function f is ___ on a closed interval [a,b] ,then f has both a maximum and minimum value on [a,b]

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Continuous

Discontinuous

None of these

If f is a twice differentiable function at stationary point x_oan f'(x_o) <0 then f has relative _______ At x_o

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Minima

Maxima

None of these

Average velocity of a body is V_ave

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d₁-d_o/ t₁- t_o

t₁- t_o/f(t₁₎- f(t_o)

_f(t₁₎- f(t_o)/t₁- t_o

None of these

tan x is continuous everywhere except at points

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+- kπ/2 (k=1,3,5....)

+- kπ/2 (k=2,4,6....)

Not Sure

lim_x→∞(-2x)=

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-2

0

2

Does not exist

The power rule d/dx[xⁿ]=nx^n-1holds if n is

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an integer

a rational number

an irrational number

all of the above

log_b1/c=_____?

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log_bc

1-log_bc

-log_bc

1+log_bc

Lim _x→_a^{f(x)=____ where f(x)=k?}

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k+2

K+1

k

The PYTHAGORAS theorem describe the relationship between the sides of

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Right angle triangle

Isoceleous Triangle

Equilateral traingle

A line is called a tangent line to the circle if it meets the circle at precisely.....

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one point

two point

infinite points

if x²+y²=9 then dy/dx=?

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x/y

-x/y

-y/x

d(tan x)/dx =___

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sec x

sec²x

cosec²x

cosec x

If the geometric series a+ar+ar²+ar³.......+ar^{k-1 which of the following is true for the given series}

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converges

Diverges

Give no information

If there is some function F such that d/dx[F(x)]=f(x) then any of the function of the form F(x)+C is _________ of f(x)

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Derivative

Antiderivative

Slope

Maximum value

h(x)=1/(x-2)(x-4) domain of the function is

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(-∞,2)U (2,4)U (4,+∞)

(-∞,2)U (2,4)U (4,∞)

All are incorrect

Polynomials are always ________ function

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Continuous

Discontinuous

Not Sure

The graph x=y²is symmetric about ___ axis

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X -axis

Y-axis

origin

Function f is differentiable function if it is differentiable on the interval

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(-∞,∞)

(a,∞) where a is any negative integer

(0,∞)

None of these

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