Question # 1

The right bisectors of the sides of an obtuse triangle intersects each other:

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Inside the triangle

Outside the triangle

On hypotenuse

On any vertex

What will be added in b⁴+64 to complete the square:

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-16b²

16b²

-4b²

4b²

a³+b³=..........:

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(a+b)(a²-ab-b²)

(a+b)(a²-ab+b²)

(a+b)(a²-ab-b³)

(a-b)(a²+ab+b²)

If two medians of a triangle are congruent then the triangle will be:

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Isoceles

Eqilateral

Right angled

Acuted angled

A surd which contain a single term is called _______ surd.

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Trinomial

Monomial

Binomial

Rational

The factors of x²-7x+12:

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(x+3)(x+4)

(x-3)(x-4)

(x+3)(x-4)

(x-3)(x+4)

A ____________ region is the union of a rectangle and its interior:

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Triangular

Parallelogram

Rectangular

None of these

Two sides of a triangle measure 10 cm and 15 cm, which of the following measure is possible for the third side:

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5cm

20cm

25cm

30cm

If the bisector of an angle of a triangle bisects the side opposite to it the triangle is:

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Isoscless

Equilateral

Trapezium

Scalen

The line segments, joining the mid-points of the sides of a quadrilateral, taken in order form a _____________.

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Square

Rectangle

Rhombus

Parallelogram

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-8

-4

-2

The number of elements in power set {1,2,3}:

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4

6

8

9

The Portion of a circle between two radii and an arc is called:

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Sector

Segment

Chord

The set having only one element is called:

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Null set

Power set

Singleton set

Subset

The circumference of a circle is divide into _____________ degrees:

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180°

270°

360°

30°

If a : b = c :d, than a + b : b = c + d : d is called theorem of :

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Alternando

Invertendo

Dividendo

Componendo

Which of the following is complete description of Real numbers?

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N∪ W = R

O∪ E = R

P∪ Q = R

Q∪ Q' = R

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An identity

An equation

A faction

None of these

A circle has only one:

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Secant

Chord

Diameter

Centre

U' = ________________

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U

A

A'

φ

Which is one is a quadrantal angel?

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30^o

45^o

60^o

90^o

A histogram is a set of adjacent.

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Squares

Rectangles

Circles

Closed figures

In a triangle ABC if a² - b² + c² = ac then < ß =

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If two sets have no element common, they are called:

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disjoint

over lapping

dissimilar

exhaustive

r r₁ r₂ r₃ =

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abc

If A = [aij] and B = [bij] are two matrices of same order r × s, then order of A - B is:

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r - s

r × s

r + s

none of these

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

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0

1

-1

2

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

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none of these

When a rational fraction is separated into partial fractions, the result is:

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No. of selection of n different things out of n is:

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1

n

n!

none

cos(tan^-1∞) =

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0

∞

1

If A is a square matrix, then A + A^t is:

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Which of the following is a vector quantity ?

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Work

Temperature

Distance

Displacement

For any point (x, y) and y - axis:

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y = 0

y = -1

y = 1

x = 0

The length of the latus rectum of the parabola y² = 4ax is:

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a

4a

2a

None of these

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x = a

x = 2

x = 0

None

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(1, 1)

(1, 3)

(1, 4)

(1, 5)

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60°

90°

30°

45°

The law of parallelogram of addition was used by Aristotle to describe the combined action of :

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One force

Two forces

Three forces

Four forces

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Volume of the tetrahedron

Volume of the parallelepiped

Volume of the triangle

None of these

The distance between two points P₁ (x₁, y₁) and P₂ (x₂, y₂) on the co-ordinate plane is given by:

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If f(x) = cos x then f'(0) is equal to:

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0

-1

1