Question # 1

The area between the x-axis the curve y =4x-x2 is :

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32/2

15

18

21

tan^-1(1/4) + tan^-1(2/9) is equal to

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1/2 cos^-1(3/5)

1/2 sin^-1(3/5)

1/2 tan^-1(3/5)

tan^-11/2

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The series obtained by adding the terms of a geometric sequence is called

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Infinite series

Arithmetic series

Geometric series

Harmonic series

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The general equation of a circle is

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I

14 I

0

None of these

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[0, 0, 0]

[1, 0, 0]

[0, 1, 0]

[0, 0, 1]

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

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

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I quadrant

II quadrant

III quadrant

IV quadrant

The consecutive terms of a progressions are 30, 24, 20. The next term of the progression is

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3

2

8

0

In following question, a number series is given with one term missing. choose the correct alternative that will same pattern and fill in the blank spaces.1 , 4, 9, 16, 25, x

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35

36

48

49

The angle of elevation of the tops of two towers at the middle point of the line joining the foots of the tower are 60^οand 30^οrespectively. The the ratio of the heghts of the tower is

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2 : 1

3 : 1

1 : 2

1 : 3

To each element of a group there corresponds ______ inverse element

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Two

One

No

Three

When a selection of object is made without paying regard to the order of selection, it is called

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Sequence

Series

Combination

Permutation

The set of real numbers is a subset of

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The set of natural numbers

The set of rational numbers

The set of integers

The set of complex numbers

0 (zero) is

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An irrational number

A rational number

A negative integer

A positive number

n(n-1)(2n-1), for all natural numbers n, is divisible by

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12

6

2

18

In (x +iy) y is called as

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Imaginary part

Complex number

Real part

None of above

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Lies between 4 and 7

Lies between 5 and 9

Has no value between 4 and 7

Has no value between 5 and 9

The tangents drawn from the point P to a circle are real and coincident if

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P is on the circle

P is inside the circle

P is outside the circle

none of these

3/2 is

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An irrational number

Whole number

A positive integer

A rational number

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I andII quadrants

II andIII quadrants

III andIVquadrants

none of these

Range of cos x is ______

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[-1, 1]

R

Negative real numbers

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

If 5,7 and 9 are A.Ms between a and b, then a and b is equal to

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2 and 12

1 and 10

3 and 11

-7 and 2

If f(x) = cos x then f(0) is

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0

1

1/2

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