Question # 1

Center and radius of the circle is (x+5)²+(y-3)²=16 is

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(-5,3),4

(5,-3),16

(5,-3),4

None of these

The graph of the equation y=x²-4x+5 will represent

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Parabola

Single line

Two straight line

Ellipse

Suppose that f and g are differentiable function of x then d/dx[f][g]=

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[f'][g]-[f][g']/g²

[f'][g']

[f'][g]+[f][g']

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

If there is some function F such that d/dx[F(x)]=f(x) then antiderivatives of f(x) are F(x)+C .What does C represent?

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Polynomial

Constant

Dependent variable

Independent variable

if 2x-y=-3 they dy/dx=?

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2

-2

0

-3

A function f is called antiderivative of a function on a given interval if ______ =f(x),for all x in that interval

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F'(x)

F(x)

f(x)

f''(x)

d(tan x)/dx =___

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sec x

sec²x

cosec²x

cosec x

2/3 is known as

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even number

irrational number

natural number

rational number

The graph of the equation y=x²-4x+5 will represent

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Parabola

Straight Line

Ellipse

Lim _x→₀sinx/x

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1

-1

0

2

lim_x→∞(-2x)=

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-2

0

2

Does not exist

if x²+y²=9 then dy/dx=?

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x/y

-x/y

-y/x

If x>0 then d/dx[lnx]=_______

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1

x

1/x

ln 1/x

If a slope m of a nonvertical line is m=1 then the angle of inclination of the line is

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π /4

π /2

π /5

If the partial sum of the series is finite then the series will be

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Divergent

Convergent

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