Question # 1

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

Number of lines can be drawn from two points:

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1

2

3

unlimited

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6cm²

12cm²

72cm²

36cm²

HCF of a²-b² and a³-b³ is:

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a-b

a+b

a²=ab+b²

a²-ab+b²

(AB)^-1 = B^-1A^-1 is known as:

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Law of transpose of product

Law of multiplicative inverse

Distributive law

Law of inverse of the product

Imaginary part of -i (3i+2) is:

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-2

2

3

-3

The entries presented in vertical way are called _______

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Columns

Diagonals

Row

Order

__________ triangle is an equilateral triangle:

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Right triange

Scalene

Equilateral

Isoscless

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One and only one line can be drawn through ------- points:

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3

4

5

2

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A fraction in which the degree of the numerator is greater or equal to the degree of denominator is called:

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A proper fraction

An improper fraction

An equation

Algebraic relation

Which of the following is distributive property of union over intersection?

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A∪ (B ∪ C) = A∪ (B∪ C)

A∩ (B∩C)= (A∩B)∩C

A∪ (B∩ C) = ( A∪ B)∩ (A∪ C)

A∩(B∪ C) = (A∩B)∪(A∩C)

Two intersecting circles are not:

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Incentric

Escribecentric

Concentric

Circumcentri

If Tanθ=1 then Sinθ= ____________ whenθ lies in 3rd quadrant.

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1/2

-1/2

-1/√2

1/√2

20^o= ..............................

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360^o

630^o

1200^o

3600^o

Standard deviation is denoted by

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x

S

S²

X²

The third proportional of x² and y² is:

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x²y²

Diameter _______a circle:

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Divides

Trisects

Intercept

Bisects

A fraction in which the degree of numerator is less than the degree of the denominator is called:

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An equation

An improper fraction

An identity

A proper fraction

Roots of the equation 4x²-5x+2=0 are:

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Irrational

Imaginary

Rational

None of these

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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A.P

G.P

H.P

none

Distinct objects means:

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identical objects

not identical

similar

none of these

The next term of the sequence-1, 2, 12, 40, .........is:

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112

212

144

none

(1 - cos²Θ) (1 + cot²Θ) =

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tan²Θ

0

1

-1

The number of diagonals of a polygon with n sides is:

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none of these

The disjunction of two statements p and q is denoted by:

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-2 sin α sin ß =

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sin (α + ß) + sin (α - ß)

cos (α + ß) + cos (α - ß)

cos (α + ß) - cos (α - ß)

cos (α - ß) + cos (α - ß)

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

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disjoint

over lapping

dissimilar

exhaustive

The lengths of the sides of a triangle are proportional to the sines of the opposite angles to the sides. This is known as:

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The law of sines

The law of cosines

The law of tangents

The fundamental law

r r₁ r₂ r₃ =

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abc

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1

2

3

4

A circle is of radius 5 cm, the distance of a chord 8 cm long from its center is:

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4 cm

3cm

2.5cm

3.4cm

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Integration

Integrand

Constant of integration

None of these

The equation x² + y² + 2x + 3y = 10 represents a:

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A pair of lines

Circle

Ellipse

Hyperbola

The operation _______ by a positive constant to each side of inequality will affect the order (or sense) of inequality:

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Adding

Subtracting

Multiplying

None of these

Which are the following triples can be direction angles of a single vector:

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45°,45°,60°

30°,45°,60°

45°,60°,60°

30°,30°,30°

The focus of the parabola x2=-4ay is:

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(-a , 0)

(0, a)

(0, -a)

(a, 0)

A function P(x) = 6x⁴ + 7x³ + 5x + 1 is called a polynomial function of degree -------- with leading coefficient -------.

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4, 6

2, 7

2, 3

2, 5

A point of a solution region where two of its boundary lines intersects is called a __________ point of the solution region:

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Maximum

Corner

Minimum

None of these

If x and y are so mixed up and y cannot be expressed in terms of the independent variable x, then y is called a/an ---- function of x.

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Constant

Explicit

Implicit

Inverse

Which one is not an exponential function ?