Question # 1

The symbol "for all" is:

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

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Two

Three

Four

Five

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Polynomia

Surd

Rotional

Not a surd

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 one angle of a parallelogram is 130° then its remaining angles will be:

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130°,50°,50°

120°,60°,50°

110°,60°,60°

100°,70°,60°

Angle bisectors of triangle are

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Concurrent

Not concurrent

Equidistant form sides

Equidistant form angles

Coordinate geometry is the study of ____________ shapes in Cartesian plane:

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Cuboid

Cubic

Geometrical

Spherical

The point of concurrency of three perpendicular bisector of triangle is alled__________:

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Orthocenter

Centrroid

Incenter

Circumcenter

The idea of matrices was given by:

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Leibniz

Cauchy

Arthur Cayley

Newton

log_aa= :

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0

1

-1

10

Two lines intersects at ___________ points.

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No

One

Two

Three

ax²+bx+c=0, c is the:

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Co-efficient

Variable

Factors

Constant

Cot 60^o=________________

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1/√3

√3

1/2

2

Cos 30^o =.....................

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1/2

√3/2

2

2/√3

Coding formula of group data of the arithmetic mean is:

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X̅ = ∑fX/∑f

X̅ = ∑fD/∑f

X̅ = A + ∑fu/∑f x h

X̅ = A + ∑fu/∑f

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

3π/4 radians =....................

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115^o

135^o

150^o

30^o

The nature of the root of equation x²-5x+5=0

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Rationaland equal

Irrationaland unequal

Irrationaland equal

Rationaland unequal

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

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Mode

Median

Harmonic mean

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4.13

3.14

15.4

17.3

Find k, if the roots are equal in (k+3)x²-2(k+1)x-(k+1)=0:

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2, -1

-2,-1

-2,1

2,1

20° =

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360'

630'

1200'

3600'

If n(S) = 3 then n {P(S)} =

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2

8

16

4

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a + c = b + d

a + b = c + d

a - b = c - d

None of these

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0

-1

>1

none

A declarative statement which is either true or false but not both is called:

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logic

proposition

induction

deduction

A - B is a subset of:

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A

B

The direction of an angle Θ is determined by its:

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value

magnitude

ratio

sign

sin (α + ß) =

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Which one is not a quadrant angle ?

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0°

90°

280°

270°

Arithmetic series is only possible if:

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|d| = 1

|d| < 1

|d| > 1

none

No. of arrangements of the letters of the word plane taking all letters at a time:

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5

1

none

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sec x tan x

sec²x

-sec x tan x

-sec²x

Let f(x) = x² + 3, then domain of f is:

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Set of all integers

Set of natural numbers

Set of real numbers

Set of rational numbers

Distance of the point (-3, 7) from x-axis is:

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3

-3

7

10

The operation _______ by a positive constant to each side of inequality will affect the order (or sense) of inequality:

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Adding

Subtracting

Multiplying

None of these

The directrix of the parabola x² = 4ay is:

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x = a

x = -a

y = a

y = -a

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

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(-g, -f)

(-f, -g)

(0, 0)

(g, f)

If a variable y depends on a variable x in such a way that each value of x determines exactly one value of y, then y is a __________ of x.

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Independent variable

Not function

Function

None of these

Which one is a constant function ?

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f(x) = x²

f(x) = x

f(x) = x + 1

f(x) = 14

If a point lies inside a circle, then its distance from the center is:

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Equal to the radius

Less then the radius

Greater then the radius

Equal to or greater than the

A parallelogram is a rhombus if and only if its diagonals are:

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Parallel

Perpendicular

Equal

None of these

The ratio in which the line segments joining (2, 3) and (4, 1) is divided by the line joining (1, 3) and (4, 3) is:

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2 : 1

3 : 1

1 : 2

1 : 1