Question # 1

0! = ______

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0

1

2

Not defined

If nis positive integers, then 2ⁿ>2n+1, only when

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n≤ 3

n≥ 3

n≤ 2

n≤ 1

If uv= Projuv then

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Uandvare parallel

vis a unit vector

Uis a unit vector

Both b and c

If f(x) = x³- 2x²+ 4x -1 then f(2) is

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7

-16

16

-9

______________ invented a symbolic way to write the statement "y is a function of x" as y= f(x)

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Leibniz

Newton

Euler

None of these

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The corner point of the boundary lines, x- 2x

x+2y=10 is:

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(8,1)

(1,8)

(6,10)

(3,5)

If f(x) = -x³then f(-2) is

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-2

-4

-8

8

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To each element of a group there corresponds ______ inverse element

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Two

One

No

Three

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3

2

8

0

The Domain of y = sin x is ______

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Set of real numbers

Rational

Irrational no.

None of above

The set of the first elements of the ordered pairs forming a relation is called its

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Function on B

Range

Domain

A into B

If (2, 3) is the mid point of (a, 3) and (5, b) then

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a = 1 , b = -3

a = -1 , b = 3

a = 1 , b =3

a = -1 , b = -3

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The coordinates of a point P(x,y) referred to XY-system are

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(x+y,y+k)

(x-h,y-k)

(x,y)

(x-h,y-k)

The point which divides the line joining the points (2, 4, 5) and (3, 5, -4) in the ratio -2 : 3 lines on

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ZOX plane

XOY plane

YOZ plane

None of these

1st four terms of the expansion (1-x)^-2are

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1 + 2x + 3x²+ 4x³

3x²+ 2x + 1

1 + 3x + 4x²+ 5x³

None of these

The number of non zero rows in echelon form of a matrix is called

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Order of matrix

Rank of matrix

Row operation

None of these

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a = -1/2, b = -1

a = 1, b = 2

a = 2, b = 3

None of above

tan(π-θ)=_____;

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tanθ

cotθ

-tanθ

-cotθ

The roots of the equation ax²+ bx + x = 0 are real and distinct if

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b²- 4ac <0

b²- 4ac = 0

b²- 4ac > 0

None of these

The line 2x +√6y =2 is a tangent to the curve x2 -2y2 =4 The point of contact is

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(√6,1)

(2,3)

(7,-2√6)

(4,-√6)

The number of permutations of n objects of which there are n₁like of one kind, n₂like of the second kind and n₃like objects of third kind are

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sin (α+β) - sin (α -β) =

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4 cosαsinβ

2 cosαsinβ

4 cosαcosβ

4 sin αsinβ

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Each complex cube root of unity is square of

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itself

1

-1

the other

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