Question # 1

The region enclosed by the bounding lines of a closed figure is called:

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Volume

Length

Area

None of these

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

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Scalene

Acute

Isoseles

Right angle

The factors of x²-5x+6 are:

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x+1, x-6

x-2, x-3

x+6, x-1

x+2, x+3

The point of concurrency of the three altitudes of a triangle is called:

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Centroid

Orthocenter

Circumcentre

Incentre

A line segment has ________ mid points:

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1

2

3

4

For solve the linear equations, if fraction are present, we multiply each side by ___________ of the denominator or eliminate them:

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LCM

HCF

Square root

Both a and b

The right bisector of the sides of a triangle intersect each other on the hypotenouse:

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Acute angled

Right angled

Obtuse angled

None of these

In ab + ac = a(b+c) then a and b + c are__________ of ab + ac:

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Functions

Member

Elements

Factors

Common logarithms are also known as ___________ lograthims:

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Naperian

Khwarizmian

Jobst Burgi's

Biggesian

If x=-3 and y=-1 then the value of x³y will be:

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27

-27

9

-9

The product in matrices AB, the number of columns of A must be equal to number _______ of B.

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Columns

Entries

Rows

None of these

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

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Componendo

Dividendo

(a) & ( b)

Invertendo

Point (-1, 4) lies in the quadrant:

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I

II

III

IV

Sin(-350°) lies in _____________.

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1st quadrant

2nd quadrant

3rd quadrant

4th quadrant

If a:b = x:y, then invertendo property is:

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The reciprocal of Arithematic mean of reciprocal of values is called:

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Average

Harmonic mean

Geometric mean

None of these

An arc subtends a central angle of 40° then the corresponding chord will subtend a central angle of:

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20°

40°

60°

80°

W - N = ....................

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∅

{∅}

N

W

1/1+ sinθ + 1/1-sinθ

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2sec²θ

2 cos²θ

Sec²θ

cosθ

3π/2 radians =...................

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90^o

180^o

270^o

360^o

The decimal degrees of 25°30' is:

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25.2°

25.3°

25.4°

25.5°

Variation has

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Two types

Three types

Four types

Five type

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Additive property

Multiplicativeproperty

Reflexiveproperty

Transitive property

Inverse sine function is written as:

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(sin x)^-1

sin x^-1

arc sinx

arc sin^-1 x

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

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A

B

S = {1, -1, 2, -2} is a group under:

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multiplication

subtraction

addition

none of these

Rational numbers are:

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repeating decimals

terminatingdecimals

periodicdecimals

all of these

In a simultaneous throw of two dice, The probability of getting sum 3 or 11 is:

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none

The period of cot x is:

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If z₁ = 4i and z₂ = 3 - 9i, then z₁ + z₂ =

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3 - 5i

3i - 5

7 - 9i

3 + 5i

Arithmetic series is only possible if:

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|d| = 1

|d| < 1

|d| > 1

none

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none of these

The ratio in which y-axis divides the line joining (2, -3) and (-5, 6) is:

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2 : 3

2 : 5

1 : 2

3 : 5

The symbol y = f(x) i.e. y is equal to f of x, invented by Swiss mathematician-----------:

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Euler

Cauchy

Leibniz

Newton

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sin x

-cos x

-sin x

cos x

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a cosec (ax + b)

cot (ax + b)

A line that touches the curve without cutting through it is called:

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Straight line

Tangent line

Normal line

Vertical line

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

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a > 0

a < 0

a = 0

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sech x tanh x

-sech x tanhx

sech² x

-sech²x

The set of all points in the plane that are equally distant from a fixed point is called a / an:

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Circle

Circular cone

Ellipse

Point circle

A function, in which the variables are __________ numbers, then function is called a real valued function of real numbers.

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Complex

Rational

Real

None of these

The instantaneous rate of change of y with respect to x is given by: