Question # 1

Which of the following does not represent absolute value of a vector

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magnitude

length

norm

number

Which of the following is not a unit vector

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[1, 1, 1]

[0, 1, 0]

[0, 0, 1]

[1, 0, 0]

Geometric mean between a and b is

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If G is the centroid of the triangle, then GA +GB+GC=

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0

1

-1

3

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

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1

2

0

-1

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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The 7th term of the A.P 7,11,15,is

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24

31

26

23

The angle of depression of a point situated at a distance of 70 meters from the base of a tower is 45°. The height of the tower is

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70 m

85 m

35 m

None of these

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If all members of a sequence are real numbers then it is called a

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Series

Function

Real sequence

Range

The sample space for tossing a coin once is

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{T, T}

{H, H}

{H, T}

None of these

Composition of functions is

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Non-commutative (fg ≠ gf)

non-associative [8(fh) ≠(8f)h]

Commutative (fg = gf)

f of-1≠ 1

14 is not a

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Prime number

Whole number

Even number

Real number

If z₁ = 1 + 2i, z₂ = 3 + 4i then

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z₁ > z₂

z₁ = z₂

z₁ < z₂

None of these

If f(√x)=sin x , then f′(x) =______;

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2xcosx2

cosx2

cos√x

None of these

The radius of the circle x²+ y² - 6 x + 4 y +13 = 0 , is

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1

2

0

None of these

Which one represents a sequence

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an

Sn

a(n)

{an}

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 set {{a,b}} is

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Infinite set

Singleton set

Two points set

None

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none of these

A set having only one element is called

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An empty set

Universal set

A singleton set

A power set

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The roots of the equation 2^2x- 10.2^x+ 16 = 0 are

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2, 8

1, 3

1, 8

2, 3

If the intersecting plane is parallel to a generator of the cone, but intersects its one nappe only, the curve obtained is

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an ellipse

a hyperbola

a circle

a parabola

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Symmetric

Skew-symmetric

Hermitian

Skew hermitian

Two cards are drawn at random from a well shuffled pack of cards. The probability that at least one of them is a face card is

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3 / 17

5 / 17

7 / 17

9 / 17

5th term of a G.P. is 2, then the product of first 9 terms is

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256

128

512

None of these

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