Question # 1

The right bisectors of the sides of _________ triangle intersect each other inside the triangle:

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Obtuse angled

Acute angled

Right angled

Equilateral

The value of i^{9 is:}

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1

-1

i

-i

Congruent figures are ________ in area:

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Same

Different

Empty

None of these

______ non collinear points determine a plane:

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1

2

3

4

How many (1-------1) correspondence can be established between two triangles:

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3

4

5

6

Symbol of show similarity:

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Who used 'e' as the base for the preparation of logarithm tables.

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Henry Briggs

Jobst Burgi

Musa Al Khawrizmi

John Napier

HCF of 5x²y² and 20x³y³ is:

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5x²y²

20x³y³

10x⁵y⁵

5xy

The logarithm of unity to any base is.

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1

10

e

0

If B+A=A=A+B, the B is called:

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Multiplicative identity

Multiplicative inverse

Additive identity

Additive inverse

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A fraction in which the degree of numerator is less than the degree of the denominator is called:

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An equation

An improper fraction

An identity

A proper fraction

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Locus of a point in the plane equidistant from a fixed point is called:

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Radius

Circle

Circumference

Diameter

If 1 is the zero of polynomial, then remainder is:

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3

2

0

1

A circle of radius 'r' has a circumference of:

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πr2

2πr

2πr2

1/2πr

The measures that are used to determine the degree or extent of variation in a data set are called measures of...........................

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Dispersion

Central tendency

Average

Quartile

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The domain of R = {(0, 2), (2, 3), (3, 3), (3, 4)} is:

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{0, 3, 4}

{0, 2, 3}

{0, 2, 4}

{2, 3, 4}

The circumference of a circle is:

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A circum angle is subtended between any two chords of a circle, having:

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Circumference

Diameter

Radius

Central angle

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

How many complex cube roots of unity are there:

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2

0

1

3

(1 - sin²Θ) (1 + tan²Θ) =

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0

1

Θ

-1

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3:5:2

3:2:1

1:2:3

One card is drawn at random from a pack of 52 cards. The probability that the card drawn a king is:

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none of these

Domain of finite sequence is:

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set of natural numbers

subset of N

R

none

The circum-radius R of a triangle is given by:

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What is the common difference of the sequence 11, 5, -1, ......... ?

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6

-6

none of the foregoing numbers

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none of these

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Conjugate of a + i b is:

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-a + ib

a + ib

-a - ib

a - ib

If AB = BA = I, then A and B are:

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equal to each other

multiplicative inverse of each other

additive inverse of each other

both singular

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3

4

5

6

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Implicit

Explicit

Exponential

Logarithmic

Notation Df(x) for derivative was used by:

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Cauchy

Newton

Leibniz

Lagrange

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ln |sec x + tan x | + c

ln |cosec x - cot x | + c

ln |sec x - tan x | + c

ln |cosec x + cot x | + c

The length of the latus rectum of the parabola y² = 4ax is:

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a

4a

2a

None of these

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The equation x² + y² + 2x + 3y = 10 represents a:

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A pair of lines

Circle

Ellipse

Hyperbola

Let f(x) = x², then range of f is the set of all:

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Real numbers

Non-negative real numbers

Non-negative integers

Complex numbers

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Integration by parts

Definite integral

Differentiation

None of these

A line through a point say P perpendicular to the tangent to the curve at P is called:

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Straight line

Tangent line

Normal line

None of these

A function, in which the variable appears as exponent (power), is called a / an -------- function.

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Constant

Explicit

Exponential

Inverse