Question # 1

The study of geometrical shapes in a plane is called _________geometry.

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Plane

Practical

Analytical

Coordinate

Which of following set of lengths can be the lengths of the sides of a triangle.

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2cm, 3cm, 5cm,

3cm, 4cm, 5cm

2cm, 4cm, 7cm

4cm, 3cm, 7cm

(img) is used for __________ triangle:

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Acute angled

Obtuse angled

Right angled

All

Congruent triangles are of _______ size and shape:

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Same

Different

Parallel

Similar

__________ triangle is an equilateral triangle:

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Right triange

Scalene

Equilateral

Isoscless

Similar surds means, surds having ________ irrational factors:

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Same

Different

One

No

If in a correspondence of two triangles, if one side and two angles of one triangle are congruent to the corresponding side an angles of the other triangle, we use _____________ postulate.

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S.A.S

S.A.A

H.S

S.S.S

Every real number is also a complex number with imaginary part as ______

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1

b

O

10

The symbol used for angle is:

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If the square of one side of a triangle is equal to the sum o the squares of the other two sides then the triangle is a ___________:

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Acute

Right

Obtuse

Scalene

log_ba x log_c b can be written as

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log_a c

log_ca

log_ab

log_bc

In a ratio a:b, a is called:

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Relation

Antecedent

Consequent

None of these

If the distance between the centres of two circles is equal to the sum of their radii, then the circles will:

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Intersect

Do not intersect

Touch each other externally

If an arc of a circle subtends a central angle of 60°, then the corresponding chord of the arc will make the central angle of:

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20°

40°

60°

80°

Sin²θ + Cos²θ = ______________________________:

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Sinθ

Cosθ

1

2

Cosec²θ-cot²θ =.............

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-1

1

0

tanθ

The discriminant of x²-3x+3=0 is:

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-3

3

-2

2

Cos 30^o =.....................

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1/2

√3/2

2

2/√3

If 12, p and 3 are in continued proportion, then p =

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If b²-4ac < 0, then roots are:

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Unreal

Imaginary

Real

Unequal

The quotient is indicated by a:

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Comma (,)

Bracket ( )

Bar (-)

Hyphen (!)

The nature of the roots of equation ax²+bx+c=0, is determined by:

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Sum of the roots

Product of the roots

Synthetic division

Discriminant

In triangle the length of the sides are 7, 4√3 and √13. Then the smallest angle is:

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15°

30°

60°

45°

If there are six G.Ms between 3 and 284 then G₄ =

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24

48

12

6

What is called the arrangement of numbers formed according to some definite rule ?

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arithmetic sequence

geometricsequence

sequence

none of these

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2

4

6

8

What is called the difference between two consecutive terms of an arithmetic sequence ?

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common ratio

common difference

common element

none of these

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all of these

The order of a matrix is shown by:

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number of columns + number of rows

number of rows × number of columns

number of columns - number of rows

Sum of all positive integral multiples of 3 less than 100 is:

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950

760

1230

875

The roots of the equation:

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complex

irrational

rational

none of these

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real numbers

complexnumbers

primenumbers

oddnumbers

No. of arrangements can be made of 4 letters a, b, c, d taken 2 at a time ?

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8

12

10

14

Point of intersection of x + y = 5 & x - y = 3 is:

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(5, 5)

(4, 2)

(4, 1)

(1, 4)

If a point lies inside a circle, then its distance from the center is:

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Equal to the radius

Less then the radius

Greater then the radius

Equal to or greater than the

If equation of circle is (x - h)² + (y - k)² = r², then center of a circle:

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(-h, -k)

(h, k)

(-h, k)

(h, -k)

One of the angles of a triangle inscribed in a circle is of 40°. If one of its' the diameter, the other angles have the measures:

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30°, 110°

40°, 100°

50°, 90°

20°, 120°

The non-negative inequalities are called:

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Parameters

Constants

Decision variables

Vertices

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tan x

cot x

- tan x

- cot x

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90°

30°

60°

0°

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tan x + c

- tan x + c

sec x tan x + c

- sec x tan x + c

If the radius of a circle is zero, then the circle is called a / an:

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Circle

Circular cone

Ellipse

Point circle

If a circle and a line intersect in two points, then the line is called:

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A chord

A secant

A diameter

None of these

A scalar quantity is one that possesses only :

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Magnitude

Direction

Both a and b

None of these