Question # 1

HCF of a²-b² and a³-b³ is:

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a-b

a+b

a²=ab+b²

a²-ab+b²

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

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Triangular

Parallelogram

Rectangular

None of these

Median of a triangle divide it into _____ triangle of equal area:

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1

2

3

4

A triangle can have only ______ right angle:

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1

2

3

4

Which of the postulate is used for congruency of triangles:

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S.A.S

A.S.S

H.S

All

H.C.F of 39x⁷y³z and 91x⁵y⁶z⁷ is:

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13x⁷y⁶z²

13x⁵y³z

91x⁵y⁶z²

91x⁵y³z

The symbol used for Congruency is:

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A triangle in which one of the angles has measured angle to 90 is called _______ triangle:

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Isosceles

Equilateral

Right angled

Scalene

The rectangular array of numbers enclosed by a pair of brackets is called:

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Determinants

Matrix

Set

Solution set

The degree of polynomial 4x⁴+2x²y is:

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1

2

3

4

How many mid points a line segment has ?

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1

2

3

4

Sec (-60^o)=.....................

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-Sec 60^o

Sec 60^o

Cos60^o

Cot 60^o

A 4cm long chord subtends a central angle of 60°. The radial segment of this circle is:

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1

2

3

4

Arithmetic mean is a measure that determines a value of the variable under study by dividing the sum of all values of the variable by their:

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Number

Group

Denominator

1+tan²θ =.................

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Sin²θ

Cos²θ

Co Sec²θ

Sec²θ

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

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Frequency distribution

Data

Less then cumulative frequency distribution

Histogram

A circle of any radius can be constructed by rotating a compass about:

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A chord

An arc

The straight line

A fixed point

An equation of the form 2x⁴-3x³+7x²-3x+2=0 is called a/an:

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Reciprocal equation

Radicalequation

Exponentialequation

None of these

Formula to determine the size of a class is:

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X_max - X_min

X_max + X_min

Range/number of groups

number of groups/Range

The circular region bounded by an arc of a circle and its two corresponding radial segments is called a:

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Sectorof the circle

Areaof the circle

Radiusof the circle

Circumferenceof the circle

A tangent is perpendicular to the radius of a circle at its point of:

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Tangent

Touch

Contact

Meet

π, e are:

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integers

natural numbers

rationalnumbers

irrationalnumbers

Division of a natural number by another natural number gives:

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always a natural number

always an integer

always a rationalnumber

always an irrational number

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

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A matrix of order m×1 is called:

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row matrix

column matrix

identity matrix

scalar matrix

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

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3 - 5i

3i - 5

7 - 9i

3 + 5i

If one root of 2x² + ax + 6 = 0 is 2 then the value of a is:

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7

-7

If a statement P(n) is true for n = 1 and truth of P(n) for n = k implies the truth of P(n) for n = k + 1, then P(n) is true for all:

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integers n

real numbers n

positive real numbers n

positive integers n

The period of sec 3x is :

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In a circle of radius r, an arc of length kr will subtend in angle of __________ radians at the center:

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s

k

r

Θ

The system of measurement in which the angle is measured in degrees, and its sub-units, minutes and seconds is called the:

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circular system

sexagesimal system

decimal system

degree system

The period of sin 2x is:

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π

2π

3π

ax + b < c is a inequality of:

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One variable

Two variable

Three variable

Four variable

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sech x tanh x

-sech x tanhx

sech² x

-sech²x

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cosec x + c

-cosec x + c

cot x + c

- cot x + c

A solution of a linear inequality in x and y is an ordered pair of numbers, which _______ the inequality.

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Does not satisfy

May be stisfied

Satisfies

None of these

If a straight line is perpendicular to y-axis, then its slope is:

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1

-1

0

undefined

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At

Not on

On

None of these

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sinh x

cosh x

-sinh x

-cosh x

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equal to each other

not equal to each

nearly equal to each other

none of these

The graph of the parabola x² = -4ay lies in quadrants:

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I and II

III and IV

II and III

I and III

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