Question # 1

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The domain and range of a trigonometric function can be allocate by their

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graph

Continuity

Discontinuity

Periods

The number of the diagonals of a 6 sided figure is

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15

21

9

6

If w is a cube root of unity then 1 + w + w²= ______

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1

2

0

-1

If the roots of ax²+ bx + c =0 are equal in magnitude but opposite in sign, then

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a = 0

b = 0

c = 0

None of these

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15

9

7

8

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A number H is said to be the H.M. between a and b if a, H, b are in

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A.P.

G. P.

H. P.

None of these

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Improper rational fraction

Proper rational fraction

Polynomial

Equation

6 is

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A prime integer

An irrational number

A rational number

An odd integer

With usual notations b2 = a2 + c2 -2ac cos is called______;

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None of these

Law of sines

Law of consines

Law of tangents

The direction cosines of y-axis are

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1, 0, 0

0, 1, 0

0, 0, 1

1, 1, 1

The magnitude of vector a=i-3j+5k is:

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3

√35

√17

√35

If x² + px + 1 is a factor of ax³+ bx +c, then

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a²+ c²= -ab

a²- c²= -ab

a²- c²= ab

None of these

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If b²- 4ac = 0 then the roots of the equation are

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Real and distinct

Real and equal

Imaginary

None of these

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The principal value of sin^-1(-1/2)

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π/3

π/4

π/6

-π/6

The set of complex numbers forms

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Commutative group w.r.t addition

Commutative group w.r.t multiplication

Commutative group w.r.t division

Non commutative group w.r.t addition

If a set S contains "n" elements then P (S) has ...... number of elements

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2ⁿ

2²ⁿ

2 . n

n²

Range of cos x is ______

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[-1, 1]

R

Negative real numbers

R - { x | - 1 < x < 1}

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Rule of quotient of fraction

Golden rule of fraction

Rule for product of fraction

Principle for equality of fraction

If z₁ = (a,b), z₂=(c,d), then z₁ z₂ = -------------------

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(ac,bd)

(ac+bd, ad-bc)

(ac-bd , ad+bc)

(ac-bd , ad-bc)

The centroid of a triangle divides each median in the ratio

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2 : 1

3 : 1

3 : 2

1 : 1

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A

B

U

None of these

Given two numbers a and b. Let A denote the single A.M. between these and S denote the sum of n A.M.'s between them. Then S/A depends upon

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n, a, b

n, a

n, b

n

A function which is to be maximized or minimized is called an

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Explicit function

Implicit function

Objective function

None

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