Question # 1

_________ has unit:

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length

width

area

ratio

The line segment has only ________ point of bisection:

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One

Two

Three

Four

The symbol used for angle is:

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If Z₁ = a + bi and Z₂ = c + di then Z₁.Z₂ =

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ac + bdi

ac - bd

ac - bd + adi + bci

multiplication is not possible

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3-by 2

2-by-3

1-by-3

3-by-1

In an obtuse angle triangle, the side opposite to _______ is longer than each of the other two sides:

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Acute angle

Sight angle

Obtuse angle

Straight angle

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Polynomial

Irrational

Rational

None of these

Transpose of row matrix is called ______ matrix:

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Identity

Row

Square

Column

What will be added in 9x²-12xy to complete the square:

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-16y²

16y²

-4y²

4y²

How many right angles a parallelogram has ________:

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0

1

2

3

The point of concurrency of the three altitudes of a triangle is called:

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Centroid

Orthocenter

Circumcentre

Incentre

If variables occurs in exponent, then such equations are called:

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Constant equations

Linearequations

Exponentialequations

Binomialequations

Number of elements in power set of {1,2,3}

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4

6

8

9

Arithmetic mean is a measure that determines a value of the variable under study by dividing the sum of all values of the variable by their:

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Number

Group

Denominator

A second degree equation in one variable x is of the form:

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ax²+c

ax²+bx+c

ax+bx+c

ax²+b

O - E = ............

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∅

O

E

Z

Angle inscribed in a semicircle is always:

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90°

60°

120°

360°

A data in the form of frequency distribution is called..............

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Grouped data

Ungrouped data

Histogram

Dispersion

If y = 8 and x = 4, then k = xy, we get k =

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12

32

84

114

The tangent and radius of a circle at the point of contact are _________:

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Parallel

Not perpendicular

Perpendicular

None of these

Mean of a variable with similar observations any constant k is:

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Negative

k itself

Zero

Area of ΔABC = :

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1/2(base)(altitude)

2(base)(altitude)

1/2 x base/altitude

(base)(altitude)

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4

16

8

64

If a set is described in words, the method is called:

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tabular form

descriptiveform

set builder notation

non-tabular method

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

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arithmetic sequence

geometricsequence

sequence

none of these

The lengths of the sides of a triangle are proportional to the sines of the opposite angles to the sides. This is known as:

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The law of sines

The law of cosines

The law of tangents

The fundamental law

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x = 0, y = 0

Factors of x² + y² are:

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(x + iy) (x - iy)

(x + y) (x - y)

(x + y) (x + y)

none

The number of ways in which fiver persons can sit at a round table is:

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4!

5!

none of these

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The range of y = sin^-1 x is:

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How many complex cube roots of unity are there:

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2

0

1

3

If z = x + i y = r (cos Θ + i sin Θ), then arg z is:

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tan Θ

cos²Θ + sin²Θ

r

Θ

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Parallel lines

Non-parallel lines

Perpendicular lines

Coplanar lines

The directrix of the parabola y² = 4ax is:

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x = a

x = -a

y = a

y = - a

The system of _________ involved in the problem concerned is called problem constraints:

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Linear inequalities

Equations

Linear equalities

None of these

The condition for the line y = mx + c to be a tangent to the circle x² + y² = a² is c = _____________:

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The equation of a straight line which parallel to the line 3x - 2y + 5 = 0 and passes through (2, -1) is:

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3x + 2y - 8 = 0

3x - 2y + 8 = 0

3x - 2y - 8 = 0

3x + 2y + 8 = 0

Length of tangent from (a, 0) to the circle x² + y² + 2gx + 2fy + c = 0 is:

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c

2g + 2f -c

None

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Left or right

Upper or lower

Open

None of these

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cosec x + c

-cosec x + c

cot x + c

- cot x + c

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a

2b

b

2a

If the cutting plane is slightly tillted and cuts only one nappe of the cone, then the section is a / an:

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Ellipse

Circular cone

Circle

Point circle