Question # 1

Real part of 2ab(i + i²) is:

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2ab

-2ab

2abi

-2abi

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Difficult and complicated calculation become easier by using:

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Matrices

Logarithms

Triangles

None of these

The right bisector of the sides of an acute triangle intersects each other ______:

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Outside the triangle

Inside the triangle

Hypotenuse

At no point

A line, through the mid-point of one side, parallel to another side of a triangle, ________ the third side.

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Intersects

Trisects

Bisects

Parallel

Pythagoras a ____________ philosopher and mathematician:

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American

British

Greek

German

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None of these

The unit of area is _______:

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m

m²

m³

m/s

How many (1-------1) correspondence can be established between two triangles:

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3

4

5

6

When a polynomial has been written as a product consisting only of ___________factors, then it is said to be factored completely ?

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Prime

Natural

Rational

Irrational

______ non collinear points determine a plane:

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1

2

3

4

sinθ cosθ = ......................

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sinθ

1/cosθ

1/sinθ

sinθ/cosθ

90 degree makes ______ right angle:

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2

4

1

3

The mean of the squared deviations of X observations from their arithmetic mean is called.

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Variance

Standard deviation

Range

Harmonic mean

Angle inscribed in a semicircle is always:

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90°

60°

120°

360°

(A∪B)∪C is equal to

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A∩ (B∪C)

(A∪B)∩C

A∪(B∪C)

A∩ (B∩C)

The straight line joining any two points of the circumference is called:

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Segment of circle

Arcof circle

Chordof circle

Tangentof circle

The observations that divide a data set into four equal parts are called:

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Deciles

Quartlies

Percentiles

The length of the diameter of a circle is how many times the radius of circle:

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1

2

3

4

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The D° M' S" form of 32.25° is:

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32°05°

32°10'

32°15'

32°20'

Sum of the roots =

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cos (2sin^-1 x) =

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1- 2x²

1 + 2x²

2x²- 1

x²- 1

No. of ways of solving a quadratic equation:

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1

3

2

4

In a triangle if α > 45°, ß > 30° then Γ cannot be:

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90°

100°

120°

10°

Sum of all four fourth roots of unity is:

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1

0

-1

3

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If the roots of x² - bx + c = 0 are two consecutive integers, then: b² - 4ac =

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0

1

-1

2

To draw general conclusions from a limited number of observations is called:

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logic

proposition

induction

deduction

The product of three G.Ms between 1 and 16 is:

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32

64

128

16

If α, ß are complex cube roots of unity, then 1 + αⁿ + ßⁿ = .......... where n is a positive integer divisible by 3:

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1

3

2

4

A triangle which is not right angle triangle called ________ triangle:

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acute

obtuse

right

oblique

In binomial expansion of (a+b)n, n is positive integer the sum of even coefficients equals:

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none of these

The radius of circle x² + y² + 2gx + 2fy + c = 0 is:

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The distance between the points (1, 2), (2, 1).

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1

2

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Free vector

Unit vector

Null vector

None of these

The derivative of x with respect to y is given by:

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The number e denotes the _________ of the conic:

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Directrix

Vertex

Focus

Eccentricity

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Parabola

Hyperbola

Ellipse

Circle

The line y = c is above the x - axis, if:

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c > 0

c < 0

c = 0

f (x) = x secx, then f(0)=

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-1

0

1

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cos x + c

- cos x + c

sin x + c

-sin x + c

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1

2

3

4