Question # 1

In a parallelogram:

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Opposite sides are congruent

Opposite angles are congruent

The diagonals bisect each other

All of these

Bisectors of angle formed with any one side of a parallelogram intersect each other at angle:

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150°

30°

60°

90°

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6cm²

16cm²

8cm²

4cm²

The study of geometrical shapes in a plane is called _________geometry.

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Plane

Practical

Analytical

Coordinate

Angles of an equilateral triangle are_______:

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Congruent

Not Congurent

Right angle

Unequal

A line, through the mid-point of one side, parallel to another side of a triangle, ________ the third side.

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Intersects

Trisects

Bisects

Parallel

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(x-y)²

x-y

1

log_a1=

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1

10

0

e

In which Quadrant of the coordinate plane the Point (-4,3) lies:

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IV

III

II

I

Point (2,-3) lies in quadrant:

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I

II

III

IV

Which of the following sets have the Closure Property w.r.t addition.

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{0}

{0, -1}

{0,1}

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)

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

The radiance measure of an angle that forms a complete circle is:

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2π

3π

4π

6π

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1

-1

0

2

Sec²θ__________________

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1-Sin²θ

1-tan²θ

1 + Cos²θ

1-tan²θ

Diameter _______a circle:

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Divides

Trisects

Intercept

Bisects

Cot 45°=_______

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1/2

-1/2

1/√2

1

The value obtained by reciprocating the mean of the reciprocal of x₁,x₂,x₃..............x₁₁ observation is called....................

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Geometric mean

Median

Harmonic mean

S.D

7-7h = 0, then h = :

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7

1

0

49

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A set Q = {a/b} a, b∈ Z ^ b≠ 0} is called a set of.

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Whole numbers

Natural number

Irrational numbers

Rational numbers

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0

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

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tabular form

descriptiveform

set builder notation

non-tabular method

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singular

non-singular

rectangular

null

The trivial solution of the homogeneous linear equations is:

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(1, 0, 0)

(0, 1, 0)

(0, 0, 1)

(0, 0, 0)

For what value of k, the sum of the roots of the equation x² + kx + 4 = 0 is equal to the product of its roots:

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±1

4

±4

-4

Sum of all three cube roots of unity is:

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1

-1

0

3

A statement which is true for all possible values of the variables involved in it, is called a:

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tautology

conditional

implication

absurdity

If sin α = cos ß in any triangle ABC then:

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α + ß = 90°

α + ß = 180°

α + ß = 360°

α + ß

Which one is not a quadrant angle ?

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0°

90°

280°

270°

One card is drawn at random from a pack of 52 cards. The probability that the card drawn a king is:

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none of these

The graph of linear equation of the form ax + by = c is a _________ where a, b and c are constants and a, b are not both zero.

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Curve

Circle

Straight line

Parabola

The opening of the parabola x²= 16y is to __________ of the x-axis:

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Left

Upward

Right

Downward

X-co-ordinate of centroid of triangle ABC with A(-2, 3); B(-4, 1); C(3, 5) equals:

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-1

1

3

-3

The line y = a is below the x-axis, if:

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a > 0

a < 0

a = 0

The ratio in which y-axis divides the line joining (2, -3) and (-5, 6) is:

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2 : 3

2 : 5

1 : 2

3 : 5

An integral of 3x² is:

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x³+c

3

6x

x^2+c

The radius of circle x² + y² + 2gx + 2fy + c = 0 is:

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Undefined

3a²

a²

0

Which of the following is not a vector quantity ?

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Weight

Mass

Force

Velocity

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Continuous at x = 1

Not continuous at x = 1

Both a and b

none

y-coordinate of any point on X-axis:

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0

x

y

1