Question # 1

Which of the postulate is used for congruency of triangles:

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S.A.S

A.S.S

H.S

All

HCF of p³q-pq³ and p⁵q²-p²q⁵ is:

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pq(p²-q²)

pq(p-q)

p²q²(p-q)

pq(p³-q³)

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Necesarily

Not necessarily

Must be

None of these

The __________ of a triangle is the part of the plane enclosed by the triangle:

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Exterior

Attitude

Interior

Perpendicular

If the three altitudes of a triangle are congruent, then the triangle is ______:

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Equilateral

Right angled

Isosceles

Acute angled

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3

1/3

35

None of these

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

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If a:b=c:d then a,b,c and d are said to be in:

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Proportion

Ratio

Equal

Unequal

A matrix is called a row matrix if it has only one _________:

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Column

Row

Diagonal

None

The right bisector of the sides of a triangle intersect each other on the hypotenouse:

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Acute angled

Right angled

Obtuse angled

None of these

Sum of the deviations of the variable x from its mean is alwyas....

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Zero

One

Same

Negative

A histogram is a set of adjacent.........

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Squares

Rectangles

Circles

Dots

The distance of any point of the circle to its centre is called:

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Radius

Diameter

A chord

An arc

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

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Grouped data

Ungrouped data

Histogram

Dispersion

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

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Dispersion

Central tendency

Average

To resolve rational fraction, multiply both sides by:

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H.C.F

An even, number

L.C.M

An odd number

The measure of the external angles of a regular octagon is:

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a deviation is defined as a difference of any value of the variable from a......

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Constant

Histogram

sum

Frequency

Product of roots of equation 5x²+3x-9=0:

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The number of elements in power set {1,2,3}:

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4

6

8

9

The radian measure of an angle that form a complete circle is.

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π/2

π

2π

4π

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quad. I

quad. II

quad. III

quad. IV

The roots of the equation 25x² - 30x + 9 = 0 are;

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rational

irrational

equal

complex

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scalar matrix

diagonalmatrix

lower triangularmatrix

upper triangularmatrix

If A and B are two matrices, then:

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A B = O

AB = BA

AB = I

AB may not be defined

The imaginary part of the complex number a + bi is:

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a

b

bi

none of these

tan^-1 (-x) =

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tan^-1x

cot^-1x

-tan^-1x

-cot^-1x

Number of terms in the expansion of (x+y)⁶ is:

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7

6

2

8

If the elevation of the sun is 30°, the length of the shadow cast by a tower of 150m height is:

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none

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quad I

quad. II

quad. III

quad. IV

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A

B

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x = a

for all x

x = 0

x = 4 is a line:

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Parallel to x - axis

Parallel to y - axis

Perpendicular to y-axis

None of these

If the radius of a circle is zero, then the circle is called a / an:

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Circle

Circular cone

Ellipse

Point circle

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

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If the equation of the parabola is y2 = 4ax, then opening of the parabola is to the right of the:

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x-axis

y = x

y-axis

x + y =0

The center of circle (x+3)² + (y-2)² = 16 equals:

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(-3, 2)

(3, -2)

(3, 2)

(-3, -2)

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Scalar

Free vector

Unit vector

Null vector

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4

Does not exist

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cot x

- cot x

cosec x cot x

-cosec x cot x

For any point (x, y) on x-axis:

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y = 1

y = 0

y = -1

y = 2

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)