Question # 1

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ab-cd

ac-bd

bc-ad

ad-bc

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

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Volume

Length

Area

None of these

∀ a∈ R⇒ a = a is __________ property:

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Reflexive

Symmetric

Transitive

Additive property

H.C.F of 39x⁷y³z and 91x⁵y⁶z⁷ is:

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13x⁷y⁶z²

13x⁵y³z

91x⁵y⁶z²

91x⁵y³z

Right bisection of _______ means to draw perpendicular which passes through the midpoint of a line segment:

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Line

Ray

Line segment

Angle

Logarithm of a negative number is equal to:

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1

0

-1

Not defined

Parallelogram on equal bases and having the same ( or equal) altitude are _______ in area:

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Equal

Unequal

Congurant

Similar

Every irrational number is _________

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Surd

Not a surd

Rotional

Whole number

∀ a∈ R⇒ a + o = a = o + a, then O is called:

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Multiplicative identity

Additive identity

Additive inverse

Multiplicative inverse

If log_x64 = 2 then value of x will be:

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64

2

8

64²

Conjugate of 4i - 3 is:

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4i + 3

-4i - 3

-4i + 3

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

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3

2

0

1

The length of a tangent to a circle is from the given point to the point of:

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start point

enc points

contact

collinear

An ______________ is defined as the union of two non-col-linear rays with some common end point:

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angle

vertex

initial side

terminal

If f: A→ B and range of f= B , then f is an..............

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into function

onto function

bijective function

function

The word geometry is derived from two Greek words namely Geo and:

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Size

Land

Metron

Shape

The lengths of two transverse tangents to a pair of circles are:

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Unequal

Equal

Overlapping

Any portion of the circumference will be known as ______ of the circle:

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A chord

An arc

A tangent

An angle

Two tangents drawn to a circle from a point outside it are of _________ in length

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Half

Equal

Double

Triple

In an arc of circle substends a central angle 60°, then corresponding chord will make central angle:

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20°

40°

60°

80°

(A∩B)'= _____________

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A'∪B'

A'∩B'

A∩B

A∪B

The semi circumference, and the diameter of a circle both subtend a central angle of:

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90°

180°

270°

360°

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

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positive odd numbers

natural numbers

prime numbers

positive even numbers

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Inverse sine function is written as:

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(sin x)^-1

sin x^-1

arc sinx

arc sin^-1 x

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

To draw general conclusions from well-known facts is called:

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logic

proposition

induction

deduction

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singular

non-singular

rectangular

null

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The period of sec 3x is :

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A is superset of B

B is superset of A

A is subset of B

A is equivalent to B

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

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If two sets have no element common, they are called:

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disjoint

over lapping

dissimilar

exhaustive

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x = 4 is a line:

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Parallel to x - axis

Parallel to y - axis

Perpendicular to y-axis

None of these

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3

4

5

6

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x = a

for all x

x = 0

If x and y are so mixed up and y cannot be expressed in terms of the independent variable x, then y is called a/an ---- function of x.

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Constant

Explicit

Implicit

Inverse

Zero vector is perpendicular to:

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Every vector

Unit vector only

Position vector only

Not any vector

The line y = c is above the x - axis, if:

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c > 0

c < 0

c = 0

Let f(x) = x² + 3, then domain of f is:

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Set of all integers

Set of natural numbers

Set of real numbers

Set of rational numbers

The graph of linear equation of the form ax + by = c is a _________ where a, b and c are constants and a, b are not both zero.

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Curve

Circle

Straight line

Parabola

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

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I and II

III and IV

II and III

I and III

If in the case of translation of axes, O (-3, 2), (x, y) = (-6, 9) then (X, Y) =

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(-3, 9)

(-3, 7)

(-9, 11)

(3, 7)