Question # 1

HCF of a³+b³ and a²-ab+b² is:

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a+b

a²-ab+b²

(a-b)²

a²+b²

The medians of a triangle are:

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1

2

3

4

The degree of 2x⁴y³+x²y²+8x is:

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4

3

7

8

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Z + W

Two lines can intersect at :

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Two points

One points

Three points

Unlimited

Two parallel lines intersects at _________ points:

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One

Two

Three

No

The logarithm of any number consist of parts:

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Three

Four

One

Two

Diagonals of a parallelogram divides the parallelogram into two ______ triangles:

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Congurent

Right angled

Acute angle

Isosceles

Number of lines can be drawn from two points:

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1

2

3

unlimited

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Rational

Polynomial

Surd

Not a surd

The right bisectors of the sides of an obtuse triangle intersects each other:

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Inside the triangle

Outside the triangle

On hypotenuse

On any vertex

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Polynomial

Variable

Constant

Co-efficient

If 't' is the radius of a circle, then its circumferienc is.

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π/2r

πr

2πr

4πr

If one quantity increases and other decreases, the variation is:

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Inverse

Direct

Indirect

Equal

The formula of group data of the median is:

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l + h/f (n/2 -c)

l +∑fx/∑f x n,

l + f_m- f₁/2f_m - f₁ - f₂ x n,

A + ∑fu/∑f x n

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 class having maximum frequency is called................. class.

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Model

Median

Lower

Upper

If number of elements in set A is 3 and in set B is 4 then number of elements in AxB is:

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3

4

12

7

The fourth proportional w of x : y::v : w is:

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xyv

Area of ΔABC = :

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1/2(base)(altitude)

2(base)(altitude)

1/2 x base/altitude

(base)(altitude)

Which of the following is De-Morgan's law?

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(A∪ B)∪ C = A∪ ( B∪ C)

(A∩B)^C= A^c∪ B^c

A∪ (B∩ C) = ( A∪ B)∩ (A∪ C)

A∩(B∪ C) = (A∩B)∪(A∩C)

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An improper fraction

An equation

A proper fraction

None of these

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archimedean property

transitive property

multiplicative property

If the sum of the roots of ax² - (a + 1) x + (2a + 1) = 0 is 2, then the product of the roots is:

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1

2

3

4

(1 - sin²Θ) (1 + tan²Θ) =

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0

1

Θ

-1

A declarative statement which is either true or false but not both is called:

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logic

proposition

induction

deduction

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Minors and co-factors of the elements in a determinant are equal in magnitude but they may differ in:

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order

position

sign

symmetry

One of the roots of the equation 3x2 + 2x + k = 0 is the reciprocal of the other, then k = ...............:

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3

2

1

4

{2, 4, 6, 8, ...........} represents the set of:

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positive odd numbers

natural numbers

prime numbers

positive even numbers

A biconditional is written in symbols as:

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The function y = ln x is a/an -------------- function of x.

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Constant

Explicit

Exponential

Logarithmic

The radius of point circle is:

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0

(0, 0)

r

1

An integral of 3x² is:

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x³+c

3

6x

x^2+c

Point (5, 6) lies ..... the circle x² + y² = 81:

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Outside

Inside

On

None of these

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0

1

-1

2

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sec x tan x

- sec²x

-sec x tan x

sec²x

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x - axis

z - axis

y - axis

None of these

y = b is a horizontal line perpendicular to ________:

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x - axis

y - axis may be

y - axis

None of these

If y = (x), then the variable x is called --------- variable of a function f.

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Dependent

Independent

Image of y

None of these

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Implicit

Explicit

Exponential

Logarithmic

A line segment having both the end-points on a circle and not passing through the center is called a:

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A chord

A secant

A diameter

None of these