Question # 1

Ratio, (img) as comparison of two _______ quantities:

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Different

Alike

Unlike

None of these

A __________ region in the union of a triangle and its interior:

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Triangular

Plane

Parallelogram

None of these

An _________ is that in which constants or variable or both are combined by basic operation:

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Matrix

Algebraic expression

Logarithm

Complex number

Aurther Cayley introduces theory of matrices in:

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1854

1856

1858

1860

The __________ bisector of an angle of a triangle divides the sides in the same ratio then it is the ratio of the lengths of the sides containing the angles:

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Internal

External

Perpendicular

None of these

In Z = a + bi, a is called ______ part of Z.

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Real

Imaginary

Whole

None

One angle on the base of an isosceles triangle is 30° what is the measure of its vertical angle:

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30°

60°

90°

120°

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zero

unit

scalar

singular

Area of a triangle region = _______:

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In a parallelogram congruent parts are:

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Opposite sides

Opposite angles

Diagonals

Opposite sides and angles

_______ of rectangle are congruent:

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Diagonals

Heights

Bases

None of these

If two circles touch each other, their centres and point of contact are:

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Coincident

Non-collinear

Collinear

If tan θ = √3 then θ =____________.

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30°

45°

60°

90°

1° into radians is:

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0.0195 radians

0.0165radians

0.0185radians

0.0175radians

Tangents drawn at the ends of diameter of a circle are _______ to each other:

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Parallel

Non parallel

Collinear

Perpendicular

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9

7

5

3

If A⊆ B the A⋂ B = ______

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A

B

∅

A⋃ B

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Three times the sequence on any side of an equilateral triangle equal to four times the square on the:

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Median

Altitude

Side

Vertex

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One and only one circle can pass through ______ non-collinear points:

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Two

Three

Four

Five

The set having only one element is called.

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Null set

Power set

Singleton set

Subset

If tan Θ > 0 and sin Θ < 0 then terminal arm of the angle lies in quadrant:

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I

II

III

IV

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{1, 2, 3}

{5, 6, 7}

{4}

The sum of 10 A.Ms between 3 and 47 is:

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50

250

100

500

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a + c = b + d

a + b = c + d

a - b = c - d

None of these

The product of three G.Ms between 1 and 16 is:

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32

64

128

16

If A is a square matrix, then A + A^t is:

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If the Discriminant of a quadratic equation is a perfect square, then roots are:

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real and equal

complex

rational

irrational

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

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composite angles

half angles

quadrantal angles

allied angles

If the roots of x² - bx + c = 0 are two consecutive integers, then: b² - 4ac =

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0

1

-1

2

- 72° = ___________________:

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none of these

What is called the arrangement of numbers formed according to some definite rule ?

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arithmetic sequence

geometricsequence

sequence

none of these

A parallelogram is a rhombus if and only if its diagonals are:

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Parallel

Perpendicular

Equal

None of these

The feasible solution, which maximizes or minimizes the objective function, is called the _________:

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Maximum solution

Optimal solution

Minimum solutions

None of these

The distance between the points (1, 2), (2, 1).

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1

2

The ratio in which y-axis divides the line joining (2, -3) and (-5, 6) is:

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2 : 3

2 : 5

1 : 2

3 : 5

A line that touches the curve without cutting through it is called:

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Straight line

Tangent line

Normal line

Vertical line

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

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1

-1

0

undefined

General form of equation of line is:

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ax - by + c = 0

ax + by - c = 0

ax + by + c = 0

ax - by - c = 0

f(x) is odd function. If and only if:

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f(-x) = -f(x)

f(-x) = f(x)

f(x) = 3f(-x)

f(x) = -3f(-x)

The symbol y = f(x) i.e. y is equal to f of x, invented by Swiss mathematician-----------:

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Euler

Cauchy

Leibniz

Newton

X-co-ordinate of centroid of triangle ABC with A(-2, 3); B(-4, 1); C(3, 5) equals:

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-1

1

3

-3

A region, which is restricted to the ________ quadrant, is referred to as a feasible region for the set of given contraints.

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First

Third

Second

Fourth