Question # 1

The equation of the line of the form y-y₁=m(x-x₁) is known as

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Point Slope form

Two points form

Intercept form

Slop intersect form

______ is the special case for the Taylor's theorem

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Roll's Theorem

Picard's Method

Integration

Maclaurin Theorem

For a graph to be symmetric about y axis mean ,for each point (x,y) on the graph the point ____ is also on the graph

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(x,-y)

(-x,y)

(-x,-y)

30^o

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π/3

π/4

π/6

The pythagoras theorem describe the relationship between the sides of

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right angle triangle

isoceleous triangle

equilateral traingle

For a sequence {a_n} if the difference between successive terms a_n+1-a_n<=0 then the sequence is known as

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increasing

decreasing

non decreasing

non increasing

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

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

The graph x=y²is symmetric about ___ axis

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X -axis

Y-axis

origin

Which operation could not be applied on the function?

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Cross Product

Sum

Division

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)

The tan(x) is discontinuous at the point where

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Cos(x)=0

Sin(x)=0

Tan(x)=0

If f''(x)<0 on an open interval (a,b) then which of the following statement is correct

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f is concave up on (a,b)

f is concave down on (a,b)

f is linear on a,b

Which operation can not be applied on the function?

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Subtraction

Cross Product

Addition

Composition

If f(x)=e^-xat x=0 be the taylor series ,then which of the following is also true?

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Arithmetic Series

Maclaurin Series

Geometric Series

Harmonic Series

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

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relation

Function

Nota function

Not a Relation

if x²+y²=9 then dy/dx=?

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x/y

-x/y

-y/x

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

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relation

function

not a function

not a relation

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

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Parabola

Straight Line

Ellipse

At which points two curves y=x²and y=x+6 intersect?

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x=0 and x=2

x=0 and x=3

x=2 and x=3

x=-2 and x=3

If 2y-y=-3 then dy/dx ?

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2

-2

0

-3

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