Question # 1

Cos (α+β) - cos (α-β) =

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-2 sinα sinβ

2 sinαcosβ

-2 sinαcosα

4 sinα cosβ

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5

-5

none

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Associative property of addition

Commutative property of addition

Distributive property

Additive identity

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Biconditional

Implication

Antecedent

Hypothesis

The angle AOP which the ray from an observer's eye at O to an object at P at a lower level makes with horizontal ray OA through O is called the

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Angle of depression

Angle of elevation

Acute angle

Obtuse angle

In R the right cancellation property w.r.t. addition is

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Conic sections or simply conics are the curves obtained by cutting a right circular cone by

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a line

two lines

a plane

two planes

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

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Identity

fraction

mixed form

Partial equation

In R, the multiplicative identity is

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0

1

-1

None

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9/4

4/9

1

None of these

The square roots of negative numbers is called

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Real no

Complex no

Positive no

Negative no

Derivative of strictly increasing function is always

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Zero

Positive

Negative

Both (A) and (B)

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Symmetric

Skew-symmetric

Hermitian

Skew hermitian

The number z so that the triangle with vertices A(1,-1,0),B(-2,2,1)and C(0,2,z) is a right triangle with right angle at vertex C

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1,2

-1,-2

2,-1

-2,1

The symbol ______ shall be used both for equation and identity

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An open sentence formed by using the sign of equality "=" is called

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Equation

In equation

True sentence

False sentence

The range of the principle cos function is

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f(x) = x3-x/x2+1 is :

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an even function

an odd function

an even and implicit function

neither even nor a odd

The first three terms in the expansion of (1 + x)^-1are

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1 + x + x²

1 - x - x²

-1 -x + x²

1 - x + x²

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The law of sines

The law of tangents

The pythagorus theorem

None of these

If x-2 and x-1 both are factors of x³-3x³+2x-4p, then P must equal to

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1

2

0

-2

If you are looking someone on the ground from the top of a hill the angle formed is called angle of _______;

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Elevation

Depression

Right angle

None off these

a >b, b >c ⇒a >c is a

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Multiplicative property

Additive property

Trichotomy property

Transitive property of inequality

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Considering Cosine Rule of any triangle ABC, possible measures of angle A includes

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Angle A is obtuse

Angle A is acute

Angle A is right-angle

All of above

The general solution of the differential equation x dy / dx = 1 + y is:

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2

1

3

None

The transport of a square matrix is a

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Row matrix

Column matrix

Square matrix

Null matrix

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