Question # 1

If Z₁ = a + bi and Z₂ = c + di then Z₁.Z₂ =

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ac + bdi

ac - bd

ac - bd + adi + bci

multiplication is not possible

Bisection of an angle means to draw a ray to divide the given angle into ______ equal parts:

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1

2

3

4

HCF of x-2 and x+x-6 is:

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x²+x-6

x+3

x-2

x+2

The Medians of an equilateral triangle are __________ in measure:

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Different

Unequal

Equal

None

Factors of 8x3+27y3 are:

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(2x+3y),(4x2+9y2)

(2x-3y),(4x2-9y2)

(2x+3y),(4x2-6 xy+9y2)

(2x-3y),(4x2+6 xy+9y2)

If two are more algebraic expression are given then their common factors of highest power is called of the expressions:

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LCM

HCF

Multiplication

Square root

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Transtitive

Multiplicative inverse

Multiplicative identity

None

To find HCF, we use following method:

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By factorization

By division

Both a and b

None

Pythagoras discovered the relationship between the sides of _______ triangle:

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Acute

Right

Obtuse

Scalene

A rectangular region can be divided in two or more trianglar regions by _____ ways:

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One

Two

Three

Four

A matrix is called ______ matrix, if its number of rows is equal to its number of columns:

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Rectangular

Row

Column

Square

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Proper fraction

Improper fraction

Rational fraction

Irrational fraction

A cumulative frequency table is also called.....................

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Frequency distribution

Data

Less then cumulative frequency distribution

Histogram

Diameter of a a circle divides it into many parts?

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two

three

four

countless

An equation of the type 3^x+3^2-x+6=0 is a/an _____ equation:

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Radical

Exponential equation

Reciprocal

None of these

In a ratio x:y, y is called:

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Relation

Antecedent

Consequent

None of these

The portion of a circle bounded by an arc and a chord is known as:

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Diameterof the circle

Radiusof the circle

Chordof the circle

Segmentof the circle

Every improper fraction can be reduced to sum of polynomial and a proper fraction by:

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Addition

Division

Subtraction

Multiplication

The relation R = {(1,2),(2,3),(3,3),(3,4)} IS:

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Not a function

Onto function

One-One function

Into function

Cot 45°=_______

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1/2

-1/2

1/√2

1

A line which has only one point in common with a circle is called:

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Sine of a circle

Cosineof a circle

Tangentof a circle

Secantof a circle

An arc which is shorter than the half of the circumference is called:

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minor arc

major arc

segment

semi arc

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A matrix in which each element is 0 is called:

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Which one is exponential equation:

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ax² + bx + c = 0

ax + b = 0

2^x = 16

Reciprocals of the terms of the geometric sequence form:

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A.P

G.P

H.P

none

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all of these

The domain of y = cos^-1 x function is:

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The ration of the sum and product of roots of 7x² - 12x + 18 = 0 is:

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7:12

2:3

3:2

7:18

If the elevation of the sun is 30°, the length of the shadow cast by a tower of 150m height is:

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none

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

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24

48

12

6

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quadratic equation

reciprocal equation

exponential equation

none of these

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

An integral of 3x² is:

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x³+c

3

6x

x^2+c

Angle between the lines x + y + 1 = 0 & x - y + 4 = 0 is:

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30°

45°

60°

90°

If the directed distances AP and PB have same signs, then their ratio is positive and P is said to divide AB:

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Internally

May be divide

Externally

None of these

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x = 4 is the solution of inequality:

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x + 3 > 0

x - 3 < 0

-2x + 3 > 0

x + 3 < 0

The small change in the value ofx, positive or negative is called the -------- of x.

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Increment

Differential

Derivative

none of these

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a

b

c

a + b

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4

2

1

The focus of the parabola x² = 4ay:

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(0, a)

(-a , 0)

(0, -a)

(a, 0)

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Common logarithmic

Natural logarthmic

Exponential

None of these