Question # 1

The order of matric [2 1] is:

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2-by-1

1-by-2

1-by-1

2-by-2

Which of the following is associative property w.r.to addition:

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a + b = b + a

a (bc) = (ab) c

a + (b + c) = (a + b) + c

None of these

A line parallel to on side of a triangle and intersecting the other two sides divide then _______

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Perpendicularly

Parallelly

Proportionally

Similarly

Set of Rational numbers in set builder notation:

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None of these

_________ altitudes of equilateral triangle are congruent:

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One

Two

Three

Four

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Z + W

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Rational

Polynomial

Surd

Not a surd

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12

-6

9

6

The logarithm of unity to any base is:

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1

10

e

0

Diagonals of a parallelogram divide the parallelogram into ________ congruent triangles.

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Two

Three

Four

Five

Mid-point of the line segment joining A (8,0) and (0,12) is:

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(8,-12)

(4,6)

(4,0)

(8,0)

An arc substends a central angle of 40° then corresponding chord will substend a central angle of ________:

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20°

40°

60°

80°

Sec 30^o = .....................

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1/2

√3/2

2

2/√3

If Tanθ=1 then Sinθ= ____________ whenθ lies in 3rd quadrant.

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1/2

-1/2

-1/√2

1/√2

A circle has only one:

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Secant

Chord

Diameter

Centre

The distance of a point outside the circle from its centre is _________ than the radius:

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Less

Equal

Greater

None of these

The chord length of a circle subtending a central angle of 180° is always:

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Less than radial segment

Equal to the radial segment

Double of the radial segment

None of these

x-coordinate of every pint on x-axis is.

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+ve

-ve

zero

1

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

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central value

A.M

measures of dispersion

median

The third proportional of x² and y² is:

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x²y²

If the distance between the centres of two circles is equal to the sum of their radii, then the circles will:

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Intersect

Do not intersect

Touch each other externally

The difference between upper limit of two consecutive classes is a frequency table is called:

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Class limit

Class interval

Class mark

All of these

If any two rows of a square matrix are interchanged, the determinant of the resulting matrix:

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is zero

is multiplicative inverse of the determinant of the original matrix

is additive inverse of the determinant the original matrix

none of these

If sets A and B are equal then:

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The series 2 + 2 + 2 ..... is:

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divergent

convergent

oscillatory

none of these

If the initial side of an angle is the positive x-axis and the vertex is at the origin, the angle is said to be in the _____________:

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initial position

finalposition

normalposition

standardposition

180° = _____________:

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π radians

A numbers exceeds its square root by 6, the number is:

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6

3

9

none of these

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A

B

If sin Θ + cosec Θ = 2, then sin² Θ + cosec² Θ =

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2

4

0

8

A dice is thrown. The probability to get an even number is:

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1

none of these

The number of diagonals of a polygon with n sides is:

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none of these

If P(x) is a polynomial of degree m and Q(x) is a polynomial of degree n, the quotient P(x) + Q(x) will produce a polynomial of degree:

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m . n, plus a quotient

m - n, plus a remainder

m ÷ n, plus a factor

m + n, plus a remainder

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)

The area A of a circle as a function of its circumference C is:

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Derivative

Differential

Integral

None of these

y - ordinate of the centroid of triangle with vertices A(-2, 3) B(-4, 1), C(3, 2) is:

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3

1

2

0

A null vector is defined as a vector whose magnitude is:

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1

2

0

None of these

Area between x-axis and the curve:

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32

16

x = 4 is the solution of inequality:

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x + 3 > 0

x - 3 < 0

-2x + 3 > 0

x + 3 < 0

The region of the graph ax + by > c is called ______ half plane:

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Open

Boundary of

Closed

None of these

A line segment having both the end-points on a circle and not passing through the center is called a:

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A chord

A secant

A diameter

None of these

cosh^-1x =

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The number e denotes the _______ of the conic:

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Directrix

Vertex

Focus

Eccentricity