Question # 1

Two triangles are said to be congruent if all the three sides and angles are _______:

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Equal

Congruent

Concurrent

Similar

Each diagonal of parallelogram bisects it into ______ congruent triangles:

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Four

Six

Two

One

The distance between a line and a point not on line is the length of the _______ line segment from the point to the line:

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Parallel

Perpendicular

Zero

None of these

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If x=-3 and y=-1 then the value of x³y will be:

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27

-27

9

-9

Bisection means to divided the parallelogram into ______ triangles:

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5

4

3

2

The diagonals of a parallelogram _______ each other:

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Bisect

Trisect

Bisect at right angle

None of these

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3

1/3

35

None of these

Point (-5,3) lies in quadrant:

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I

II

III

IV

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[2x + y]

[x - 2y]

[2x - y]

[x + 2y]

1/sinθ = ...............

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Cosθ

Secθ

Co secθ

Cotθ

If 't' is the radius of a circle, then its circumferienc is.

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π/2r

πr

2πr

4πr

Cot 45^o =..................

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1

√2

1/√2

0

The third proportional of x² and y² is:

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x²y²

The Range of R

={(1,3),(2,2),(3,1)(4,4)} is.

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{1,2,4}

{3,2,4}

{1,2,3,4}

{1,3,4}

A set containing no element is called.

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subset

Empty set

Singleton set

Super set

The most frequent occurring observation in a data set is called:

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Mode

Median

Harmonic mean

An equation involving impression of the variable under ______ is called radical equation:

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Second degree

Exponent

Radical

Cube

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

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Frequency

Average

Mode

Median

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P(Product of the roots)

S (Sum of the roots)

D (Difference of the roots)

R (Ratio of the roots)

If an object is above the level of observation then angle formed between the horizontal line and observer's line of sight is called:

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Angle of dispersion

Angle of elevation

Obtuse angle

None of these

If sinΘ <0, cosΘ<0 then the terminal arm of the angle lies in quadrant:

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I

II

III

IV

π is defined as:

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ration of diameter of a circle to its circumference

ration of the circumference of a circle to its diameter

ration of area of a circle to its circumference

ration of the circumference of a circle to its area

When two sides and included angle is given, then area of triangle is given by:

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all of these

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a + c = b + d

a + b = c + d

a - b = c - d

None of these

In a circle of radius r, an arc of length kr will subtend in angle of __________ radians at the center:

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s

k

r

Θ

Irrational numbers are:

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terminating decimals

non-terminating decimals

non-terminating, repeating decimals

non-terminating, non repeating

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

No. of triangles can be formed by joining the vertices of the polygon having 5 sides ?

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10

15

20

none of these

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

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Probability of a certain event is:

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0

1

>1

∞

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x = 0

y = -a

y = 0

y = -a

Perpendicular dropped from the center of a circle on a chord _______ the chord:

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Normal

Bisects

Equal to

None of these

The vertex of the parabola y² = 4ax is:

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(-a, 0)

(a, 0)

(0, -a)

(0, 0)

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Line parallel to x - axis

Line parallel to y - axis

Inclined

Both (a) and (b)

The centroid of the triangle whose vertices are (3, -5), (-7, 4) and (10, -2) is:

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(-2, -2)

(-2, 2)

(2, -1)

(0, 0 )

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

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0

1

2

Undefined

If (1, x) is the mid point of the line segment joining the points (1, 2) & (1, 6) then x =

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1

2

3

4

The number e denotes the _______ of the conic:

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Directrix

Vertex

Focus

Eccentricity

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sinh x

cosh x

-sinh x

-cosh x

The distance between the center of a circle and any point of the circle is called:

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Tangents

Secant

Diameter

Radius

If (x, y) are the coordinate of a point ordered pair is called:

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Abscissa

Ordinate

Coordinate

Ordered pair