Question # 1

The set {1, -1, i, -i}

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Form a group w.r.t addition

Form a group w.r.t multiplication

Does not form a group w.r.t multiplication

Not closed under multiplication

(a,0) x (c, 0) =

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(0,ac)

(ac, 0)

(0,0)

(a, c)

The statement that a group can have more than one identity elements is

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True

False

Fallacious

Some times true

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2

0

Archimedes approximate the function by horizontal function and the area under f by the sum of small

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Parallelograms

Squares

Retangles

Polygons

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6

360

120

24

If A = |aij| is (m x n) matrix then transpose of A is of the order

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m x m

m x n

n x n

n x m

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sin 540° =

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0

1

2

3

The angle between the vectors u = [-3 , 5] and v = [6 , -2] is:

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π/2

-3π/2

π

None of these

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0

1

-1

2

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0

1

Range of 3 sin x is ______

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[ -3, 3]

[-1, 1]

R

None of these

How many comittees of 5 numbers can be chosen from a group of 8 players person when each committee must include 2 particular persons

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8!

5!3!

5!

20

Sine is a periodic function and its period is ______

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π

s

2π

4π

The quadratic formula is

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Every recurring decimal represents

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A natural number

A rational number

An irrational number

A whole number

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Commutative property of addition

Closure property of addition

Additive inverse

Associative property w.r.t. to addition

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Equation of the chord of contact to the tangents drawn from (-3,4) to the circle x2 + y2 = 21

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-3x + 4y =21

4x - 3x = 0

-3x + 4y = 25

None of these

If u =[3,-4],then modulus of uis:

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5

5i

-5

√5

sin2 π/6 + sin2 π/3 + tan2 π/4 =______;

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1

2

3

4

Roots of the equation x²- x = 2 are

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{2, -1}

{1, 0}

{2, 1}

{-2, 1}

If a statement S(n) is true for n = 1 and the truth of S(n) for n = k implies the truth of S(n) for = k + 1, then S(n) is true for all

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Real numbers n

Integers n

Positive integers n

None of these

Which is a proper rational fraction

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(a + b)c = ac + bc

a + b = b + a

(a + b) + c = a + (b + c)

a(b +c) = ab + ac

The distance of the point (2.3) from x-axis is

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2

3

5

System of linear equation is inconsistent if

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System has no solution

System has one solution

System has two solution

None of above

The solution of the quadratic equation x2 -7x + 10=0, is

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2

5

2,5

7

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