Question # 1

In a scalene triangle, the angle opposite to the largest side is of measure greater than ___________.

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40°

50°

45°

60°

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

Factors of 3x²-x-2 are:

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(x+1),(3x-2)

(x+1),(3x+2)

(x-1),(3x-2)

(x-1),(3x+2)

The product of the conjugate surds is ________ number:

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Irrational

Rational

Surd

None of these

One and only one line can be drawn through ______ points:

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Two

Three

Four

Five

To find HCF, we use following method:

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By factorization

By division

Both a and b

None

Which of the following is trichotomy property of real number:

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None of these

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

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Congurent

Right angled

Acute angle

Isosceles

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What should be added to complete the square of x⁴+64 _______ :

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8x²

-8x²

16x²

4x²

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Arms of an angle called:

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Terminal sides

Rays

Rotation of arms

Position

During frequency distribution number of groups should be between........

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5 and 10

10 and 15

10 and 20

5 and 15

Sum of the roots of the equation 3x²-5x+7=0:

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5+3

5³

If set A has all its elements common with set B then set A is called...............set.

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Sub

Overlapping

Disjoint

Super

Cot 45°=_______

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1/2

-1/2

1/√2

1

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

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πr2

2πr

2πr2

1/2πr

The line joining the two points of circle is called:

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Chord

Diameter

Arc

Radius

In which quadrantθ lie when Sinθ> 0, tanθ< o ?

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I

II

III

IV

A set Q = {a/b} a, b∈ Z ^ b≠ 0} is called a set of.

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Whole numbers

Natural number

Irrational numbers

Rational numbers

A circle of radius 'r' has area:

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πr²

2πr

2πr²

1/2πr

The number of time a value appears on a set of data is called:

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Frequency

Average

Mode

Median

tan(π + tan^-1x ) =

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x

π+x

π-x

none of these

cos(tan^-1∞) =

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0

∞

1

Sequences are also called:

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Series

Progressions

Means

Convergence

π, e are:

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integers

natural numbers

rationalnumbers

irrationalnumbers

If A is a matrix of order m × n and B is a matrix of order n × p then the order of AB is:

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p×m

p×n

n×p

m×p

(1 - sin²Θ) (1 + tan²Θ) =

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0

1

Θ

-1

The angles 90°±Θ, 180°±Θ, 270°±Θ, 360°±Θ, are the:

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composite angles

half angles

quadrantal angles

allied angles

Complex roots of real quadratic equation always occur in:

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conjugate pair

ordered pair

reciprocal pair

none of these

With usual notations for triangle R equals:

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integer

rationalnumber

irrationalnumber

naturalnumber

The ordered pairs (2, 5) and (5, 2) are:

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not equal

equal

disjoint

empty

The graph of the parabola y²= -4ax is symmetric about:

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x-axis

y = x

y-axis

None of these

If y = x² + 1 _______________ x changes from 3 to 3.02 then dy = __________

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0.1204

.12

.02

1.2

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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

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Derivative

Differential

Integral

None of these

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

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Outside

Inside

On

None of these

The point of intersection of internal bisectors of the angles of a triangle is called:

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Centroid

Ortho-centers

Circums-center

In-center

The two parts of a right circular cones are called:

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Nappes

Apex of the cone

Generator

Vertex

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(1, 1)

(1, 3)

(1, 4)

(1, 5)

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Unit vector

Null vector

Free vector

None of these

i.(j.k) =

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Meaningless

-1

1

2

y = -2 is a line:

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Parallel to x-axis

Parallel to y-axis

Perpendicular to x-axis

None of these