Question # 1

If |αi + (α+1)j +2k| =3 then value of α is

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1,2

-1,-2

1,-2

-1,2

For f(x) = x2, what is the value of f(a) +f (-a) in terms of a?

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3a2

2a2

2a

-7a

The projections of a line segment on x, y, z axes are 12, 4, 3. The length and the direction cosines of the line segment are

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a = 2, b = 3

a = 3, b = 2

a = 2, b = 1, 2

a = 3, b = 3

The set of positive integers, 0 and negative integers is known as the set of

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Natural numbers

Rational numbers

All integers

Irrational numbers

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∀ a ε R ∃ o ε R such that a + v = 0 + a = a is property of

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Commutative law of addition

Associative law of addition

Additive identity

Additive inverse

Period of 2 cos x is ______

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The point of concurrency of the angle bisectors of a triangle is called

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incentre

circumcentre

e-centre

centroid

The centre of the circle x2+y2 -2fx-2gy+x=0 is

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(-g,-f)

(g,f)

(f,g)

(-f,-g)

An improper rational fraction can be reduced by division to a

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Proper fraction

Polynomial

mixed form

(2.02)4 s equal to

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16

16.6496

17

18

For different values of k equation 4x+5y =k represents

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Parallel lines

Lines parallel to x -axis

Perpendicular lines

Lines parallel to y -axis

If A(x₁, y₁) , B(x₂, y₂) and C(x₃, y₃) are the vertices of a triangle then its centroid is

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If A ⊆ B then A ∪ B is

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A

B

A'

A ∩B

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Write the first four terms of the sequence if a_n= (-1)ⁿn²

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-1, 4, -9, 16

1, -4, 9, 16

1, 4, 9, 16

None of these

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-cosec²x

-sec²x

- cosec x cot x

cosec x

The set {-1,1} is

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Group under the multiplication

Group under addition

Does not form a group

Contains no identity element

In-radius is denoted by

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r

η

r2

R

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The range of the principal sine function is

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30°

45°

60°

75°

If n is any positive integer ,t hen 2+4+6+......+2 n=

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2ⁿ-1

2ⁿ+1

n²+1

n(n+1)

Every identity matrix is

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Row-vector

Scalar

Column-vector

All

The period of sin x/2 = Cos x/3 is

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2p

12p

13p

7p

An equation which hold good for all values of the variables is called

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Identity

fraction

mixed form

Partial equation

Total number of subsets that can be formed out of the set {a,b,c} is

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1

4

8

12

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none of these

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