Question # 1

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

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Two

Three

Four

Five

One and only one line can be drawn through ______ points:

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Two

Three

Four

Five

The matrix M = [2 -1 7] is called:

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Row matrix

Column matrix

Diagonal matrix

Zero matrix

log (m)ⁿ can be written as:

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(log m)ⁿ

m log n

n logm

log (mn)

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

∀ a,b∈ R, a + b = b + a is _____________ Property of real numbers.

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Closure property w.r.to '+'

Closure property w.r.to 'x'

Commutative property '+'

Commutative property w.r.to 'x'

Scientific Notation of 0.0074 is:

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7.4 x 10^-3

7.4 x 10⁴

7.4 x 10^-2

7.4 x 10^-4

The line segments, joining the mid-points of the sides of a quadrilateral, taken in order form a _____________.

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Square

Rectangle

Rhombus

Parallelogram

If a polynomial P(x) can be expressed as P(x) = g(x) . h(x), then each of the polynomials g(x) and h(x) is called _____________of P(x):

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Element

Factor

Member

Function

Mid point of the points B (-4,3) and A (4, -9) is:

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(8,6)

(-8,6)

(-4,3)

(0,-6)

If adjacent angles of two intersecting lines are congruent then lines are ______ to each other:

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Parallel

Perpendicular

Both a and b

None of these

Which of the following is associative law of Intersection?

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A∪ (B ∪ C) = (A∪ B)∪ C

A∩ (B∩C)= (A∩B)∩C

A∪ (B∩ C) = ( A∪ B)∩ (A∪ C)

A∩(B∪ C) = (A∩B)∪(A∩C)

If number of elements in set A is 3 and in set B is 4 then number of elements in AxB is:

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3

4

12

7

In continued proportion a:b = b:c, ac = b², b is said to be _______ proportional between a and c:

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Third

Fourth

Means

None of these

Cot 45°=_______

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1/2

-1/2

1/√2

1

In a circle, the tangents drawn at the ends of a chord make equal _with that chord

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square

angle

cube

circle

If number of elements in set, A is 3 and in set B is 2 then number of binary relations in A x B is:

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2³

2⁶

2⁸

2²

Number of ways to solve quadratic equation are:

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1

2

3

4

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Rational number

Irrational number

Natural number

Real number

20^o = _______________________________

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360'

630'

1200'

360'

A relation between two quantities of same kind is called:

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Proportion

Ratio

Variation

Percentage

(x+3)² = x² + 6x + 9 is:

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A linear equation

An equation

An identity

None of these

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Probability of a certain event is:

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0

1

>1

∞

A clock strikes once when its hour hand is at one, twice when it is at two, and so on. How many times does the clock strike in ten hours ?

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55

78

66

46

If A = [aij] and B = [bij] are two matrices of same order r × s, then order of A - B is:

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r - s

r × s

r + s

none of these

2 cos α cos ß =

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sin (α + ß) - sin (α - ß)

cos (α + ß) - cos (α - ß)

cos (α + ß) + cos (α - ß)

sin (α + ß) + sin (α - ß)

If there are six G.Ms between 3 and 284 then G₄ =

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24

48

12

6

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0

-1

>1

none

Minors and co-factors of the elements in a determinant are equal in magnitude but they may differ in:

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order

position

sign

symmetry

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none of these

If set A = {1, 2, 3} and B = {1, 2, 3} then sets A and B are:

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not equal

equal

disjoint

overlapping

A line perpendicular to a radial chord of a circle at the end-point (which lies on the circle) is a:

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Secant

Diameter

Chord

Tangent

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

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0

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

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

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0

1

2

Undefined

The vertex of parabola (x - 1)² = 8 (y + 2) is:

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(1, -2)

(0, 1)

(-1, -2)

(1, 2)

If a = 0, then the line ax + by + c = 0 is parallel to:

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y - axis

x - axis

along y - axis

None of these

Equation of axis of the parabola x² = 4ay is:

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x = 0

x = a

y = 0

y = a

Parametric equations x = a cos t, y = a sin t represent the equation of:

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Line

Circle

Parabola

Ellipse

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5 sin x

cosh (5x)

5 cosh (5x)

-5 cosh (5x)

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

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y = 0

y = -1

y = 1

x = 0