Question # 1

Which of the following sets have the Closure Property w.r.t addition.

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{0}

{0, -1}

{0,1}

Logarithm of a negative number is equal to:

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1

0

-1

Not defined

A __________ region in the union of a triangle and its interior:

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Triangular

Plane

Parallelogram

None of these

Bisectors of angles formed with any one side of a Parallelogram intersect each other at angle _________:

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15°

30°

60°

90°

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

In parallelogram ______ are congruent:

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Opposite sides

Opposite angles

Opposite sides and angles

Diagonals

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Additive identity

Additive inverse

Multiplicative identiry

Multiplicative inverse

Each diagonal of parallelogram bisects it into ______ congruent triangles:

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Four

Six

Two

One

An _________ is that in which constants or variable or both are combined by basic operation:

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Matrix

Algebraic expression

Logarithm

Complex number

(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

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

The number of time a value appears on a set of data is called:

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Frequency

Average

Mode

Median

The ratio of a and b is written as:

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a : : b

a : b

a = b

A tangent line intersects the circle at:

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Three points

Twopoints

Single point

No point at all

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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

A set having only one member.

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Empty set

Power set

Singleton set

Sub set

How many common tangents can be drawn for two disjoint circles ?

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2

3

4

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The centre of incicle is called:

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Origin

Incentre

Centre

Fixed point

In a proposition a:b::c:d, a and d are called:

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Means

Extremes

Fourth proportional

None

In class (20-29), Midpoint or class mark is...................

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20.5

24.5

29

49

To convert any angle in radians into degrees, we multiply the measure by:

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Multiplicative inverse of -i is:

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i

-i

1

-1

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If α, ß, Γ are the angles of a oblique triangle, then:

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α = 90°

ß = 90°

Γ = 90°

none of these

The multiplicative invers of a non-zero real number a is:

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0

-a

a

If A is a matrix of order m × n and B is a matrix of order n × p then the order of AB is:

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p×m

p×n

n×p

m×p

5x² + 8x + 3 = 0 is:

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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°

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

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none of these

r₂ =

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The equi. of latus-rectum of the parabola y² = -4ax is:

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x = a

x = -a

y = a

y = -a

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sech x tanh x

-sech x tanhx

sech² x

-sech²x

x = 4 is a line:

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Parallel to x - axis

Parallel to y - axis

Perpendicular to y-axis

None of these

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

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0

-1

1

If the equation of the parabola is y² = - 4ax, then opening of the parabola is to the ______ of the y-axis:

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Left

Upward

Right

Downward

The order (or sense) of an inequality is changed by ________, it each side by a negative constant.

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Adding

Subtracting

Dividing

None of these

The point (5, 8) lies the line 2x - 3y + 6 = 0

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Above

Below

On

None

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Open

Closed

Open as well as closed

None of these

The line y = a is below the x-axis, if:

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a > 0

a < 0

a = 0

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domain

range

lower limit

upper limit

The vertex of the parabola x² = 4ay is:

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(-a, 0)

(0, a)

(0, -a)

(0, 0)